Answers
Answer:
600 calories
Step-by-step explanation:
The problem asks us to use the given trend line to find how many calories are burned after 40 minutes. The trend line is the slope of the graph that is given, so all that we have to do is find 40 minutes on the x axis, and then find the point on the slope in the given graph that has an x value of 40, and this point ends up being (40, 600). This means that in 40 minutes, 600 calories are burned.
Related Questions
A pole 6 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Ian measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
Answers
Answer:
here you go
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Emily places a 10-foot tall pole to support the guy wire. After placing the pole, Emily measures the distance from the stake to the pole to be 11 ft: She then measures the distance from the pole to the tower to be 23 ft: Find the length of the guy wire, to the nearest foot.
The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who give birth in the next year. Which of the following is the mean of the sampling distribution of p hat ?
Mu Subscript p hat = p = 0.12
Mu Subscript p hat = n p = 100 (0.12) = 12
Mu Subscript p hat = 1 minus p = 1 minus 0.12 = 0.88
Mu Subscript p hat = n (1 minus p) = 100 (1 minus 0.12) = 88
Answers
The sampling distribution of p hat follows a normal distribution thus, the value of Mu Subscript p hat = p = 0.12. Option 1 is the correct answer.
What is normal distribution?A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The most typical form of distribution assumed in technical stock market analysis and other statistical investigations is the normal distribution. The mean and the standard deviation are the two variables that make up the standard normal distribution.
The sampling distribution of p hat follows a normal distribution thus,
Mu Subscript p hat = p
Here, the value of p = 0.12
Hence, the value of Mu Subscript p hat = p = 0.12. Option 1 is the correct answer.
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Answer:
A. Mu Subscript p hat = p = 0.12
Step-by-step explanation:
Help me with this question, I don't know how to solve
Answers
The simplified value is [tex]\frac{7a^{8}+12 }{21a^{5}}[/tex].
What is a mathematical expression?
A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is [tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}[/tex].
This can be simplified by cross-multiplying and adding.
[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{5}*a^{3}+4*3}{3*7a^{5}} \\=\frac{7a^{8}+12}{21a^{5}}[/tex].
Therefore the simplified value of the given expression is :
[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{8}+12 }{21a^{5}}[/tex]
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a cup is boiling water (212 f) is placed to cool in a room whose temperature remains constant at 68 f. suppose the difference between the water temperature and the room temperature is halved every 5 minutes. what is the water temperature in degrees fahrenheit , after 15 minutes
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If the difference between the water temperature and the room temperature is halved every 5 minutes, then the water temperature in degrees fahrenheit, after 15 minutes 86 f
If a cup is boiling water (212 f) is placed to cool in a room whose temperature remains constant at 68 f. suppose the difference between the water temperature and the room temperature is halved every 5 minutes .
Temperature can be measured in degree celsius, degree fahrenheit and kelvin. so here the temperature measured in degree fahrenheit
Initially the difference between water and room temperature is,
212 - 68 = 144f
For every 5 minutes the difference of water and room temperature is halved,
After 5 minutes the difference is, 144/2 = 72 f
After 10 minutes the difference is, 72/2 = 36 f
After 15 minutes the difference is, 36/2 = 18 f
So the water temperature in degrees fahrenheit, after 15 minutes will be the sum of room temperature and difference between the temperatures of water and room after 15 minutes and it is given as, 18 f + 68 f = 86 f
Therefore, the water temperature in degrees fahrenheit, after 15 minutes is 86 f.
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Please, I need the answer to this question:
A goldsmith takes 2 hours to make a wedding ring and 3 hours to make a necklace. He can only work for a maximum of 12 hours a day. In a day, he has an order for at least 2 rings and 2 necklaces. On each wedding ring, he makes a profit of $50; on each necklace, he makes a profit of $60.
Assuming he makes x-rings and y-necklaces:
A) Write down all the inequalities correcting x and y
B) Show by shading the Region, R which satisfies all the inequalities in no.A above
C) How many rings and necklaces should the goldsmith make to maximize the profit?
Answers
The time it takes to make the rings and necklaces should not exceed the maximum working hours of 12 hours:
2x + 3y <= 12
The goldsmith has an order for at least 2 rings and 2 necklaces:
x >= 2
y >= 2
B) To show the region that satisfies all the inequalities:
We can plot the inequalities on a graph with x as the horizontal axis and y as the vertical axis. The first inequality 2x + 3y <= 12 defines a line in the first quadrant, while the second inequalities x >= 2 and y >= 2 define a region in the first quadrant that is above the x and y axes. The region that satisfies all the inequalities is the area in the first quadrant that is below the line 2x + 3y <= 12 and above the x and y axes. This region can be shaded.
C) To maximize the profit, we need to find the x and y values that result in the greatest profit, which is equal to the number of rings multiplied by the profit per ring plus the number of necklaces multiplied by the profit per necklace. The profit equation is:
50x + 60y
Subject to the constraints:
2x + 3y <= 12
x >= 2
y >= 2
This is a linear programming problem and can be solved using optimization techniques, such as the simplex method or the graphical method.
Using the graphical method, we can find the x and y values that result in the maximum profit by finding the corner points of the region R and evaluating the profit equation at each corner point. The corner point with the highest profit is the solution to the problem.
In this case, the solution is x = 4, y = 2, which means that the goldsmith should make 4 rings and 2 necklaces to maximize the profit. The maximum profit would be $50 x 4 + $60 x 2 = $320.
A water tower is 16 meters tall. Close by, there is a crane that is 24 meters tall. If the water tower's shadow is 30 meters long, how long is the crane's shadow?
Answers
The crane's shadow is 45 meters long when the crane is 24 meters tall.
What are similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "≅"
Let the shadow cast by the crane be x.
The triangle formed by the tower and by the crane are similar.
Using the rule of similar triangles we have:
16/24 = 30/x
16x = (30)(24)
x = 45
Hence, the crane's shadow is 45 meters long.
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Help Please im stuck
Answers
The exponential equation after solving gives -26.
What are Exponential Equations?Exponential equations are equations where the independent variable, x is in the exponent.
The given equation is,
[tex]5^{7x+5}[/tex] = [tex]125^{2x-7}[/tex]
We know that 125 = 5³
[tex]5^{7x+5}[/tex] = [tex]5^{3(2x-7)}[/tex]
The base in the both sides of the equation is 5.
So,
7x + 5 = 3(2x - 7)
7x + 5 = 6x - 21
7x - 6x = -21 - 5
x = -26
Hence the value of x is -26.
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The following percentages were obtained over many years of observation by the U. S. Weather Bureau. All data listed are for the month of December.
Location
Long-Term Mean % of Clear Days in Dec.
Juneau, Alaska
18%
Seattle, Washington
24%
Hilo, Hawaii
36%
Las Vegas, Nevada
75%
Phoenix, Arizona
77%
In the locations listed, the month of December is a relatively stable month with respect to weather. Since weather patterns in these locations from one day to the next are more or less the same, it is reasonable to use a binomial probability model.
Let r be the number of clear days in December. Since December has 31 days, 0≤r≤31. Nm4u0IVE95dhb8ATPw0weRwYAkAAAAASUVORK5CY P(r)yEe62CYUPB7MJz5G6C+JLsVriPljwPUUJXmslZLy is the binomial probability for each of the listed locations when r=0, 1, 2, … , 31f+RvZvj8MDoTWn4AAAAASUVORK5CYII=. Include your formula setup or calculator comments to answer the following questions.
(1 pt) Find the probability that Juneau will have at most 8 clear days in December.
(1 pt) Find the probability the Hilo will have at least 14 clear days in December.
(1 pt) Find the probability that Phoenix will have 20 or more clear days in December.
(1 pt) Find the probability that Las Vegas will have no more than 18 clear days in December.
(2 pts) Find the probability that Seattle will have from 5 to 10 (including 5 and 10) clear days in December
Answers
The probability of having at most 8 clear days in Juneau, 14 or more in Hilo, 20 or more in Phoenix, 18 or less in Las Vegas, and between 5 and 10 in Seattle is 0.7608, 0.7367, 0.4672, 0.9590, and 0.5385, respectively.
1. P(r≤8) = P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)= 0.7608
2. P(r≥14) = 1 - P(r≤13) = 1 - (P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13))= 0.7367
3. P(r≥20) = 1 - P(r≤19) = 1 - (P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13)+ P(r=14)+ P(r=15)+ P(r=16)+ P(r=17)+ P(r=18)+ P(r=19))= 0.4672
4. P(r≤18) = P(r=0) + P(r=1) + P(r=2)+ P(r=3)+ P(r=4)+ P(r=5)+ P(r=6)+ P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)+ P(r=11)+ P(r=12)+ P(r=13)+ P(r=14)+ P(r=15)+ P(r=16)+ P(r=17)+ P(r=18)= 0.9590
5. P(5≤r≤10) = P(r=5) + P(r=6) + P(r=7)+ P(r=8)+ P(r=9)+ P(r=10)= 0.5385
The probability of having at most 8 clear days in Juneau, 14 or more in Hilo, 20 or more in Phoenix, 18 or less in Las Vegas, and between 5 and 10 in Seattle is 0.7608, 0.7367, 0.4672, 0.9590, and 0.5385, respectively.
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peter sets up a neurological study in which he wants to investigate three pre-defined groups of patients. each group of patients is already diagnosed with the same neurological syndrome. peter not only examines the average score for each group of patients, but also the scores for each individual patient. peter's study is an example of...
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Peter's study is an example of a cross-sectional clinical study that investigates three pre-defined groups of patients with the same neurological syndrome by examining both the average score for each group and the scores for individual patients.
Cross-sectional study that compares three groups of patients with the same neurological syndrome. In this type of study, the researcher examines the groups at a specific point in time to obtain information about the prevalence, incidence, and characteristics of the disease or condition being studied. By examining both the average score for each group and the scores for individual patients, Peter is able to draw conclusions about the relationship between the neurological syndrome and the factors being studied. This type of study can help to identify risk factors, determine the efficacy of treatments, and guide future research in the field.
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Please help (will mark as brainlest)
Answers
Answer:
(9y + 4)(5x + 7)
Step-by-step explanation:
how many significant figures do each of the following measurements contain? type a number (i.e., 1, 2, 3, etc) for each of your responses, not the written word for the number.
Answers
Each of the following measurements contain a) 1, b) 4,c) 3,d) 1,e) 2,f) 4,g) 2 significant figures.
Significant digit -Precision refers to the number of digits to which a value can be assigned. Therefore, numbers that can have a value of digits are called significant digits.
Below are the key figures for each value reported.
(a) 2- 1significant digits
(b) 81.640 - 4 significant digits;
(c) 7.03 - 3 Significant Figures
(d) 0.003 - 1significant digits
(e) 0.0086 to 2 significant digits
(f) 3236 - 4 significant digits
(g) 8700 - 2 significant digits
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Y is directly proportional to x when y=30 x=6. Work out an equation connectng y and x
Answers
The equation connecting y and x when y is directly proportional to x and y = 30 when x = 6 is y = 5x.
If y is directly proportional to x, we can write the equation in the form:
y = kx
where k is the constant of proportionality.
To find k, we can use the values of y and x given:
y = 30, x = 6
When we enter these values into the formula above, we obtain:
30 = k * 6
Solving for k, we get:
k = 30/6 = 5
Therefore, the equation connecting y and x when y is directly proportional to x is:
y = 5x
When two variables are directly proportional, it means that when one variable increases or decreases, the other variable changes in the same proportion. In this scenario, we are given that y is directly proportional to x and we are also given a specific point on the line, (6, 30). Using this information, we can solve for the constant of proportionality k and write the equation connecting y and x as y = kx, where k is 5.
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a necklace is made from purple pyramids and yellow spheres in a 1 : 6 ratio
Answers
By simplifying the ratio and adding the fractions, we found that 1/7 of the beads are purple pyramids.
Ratios are used to compare two quantities or values. They are often expressed in the form of a fraction or as a percentage.
The given ratio of purple pyramids to yellow spheres is 1:6. This means that for every 1 purple pyramid, there are 6 yellow spheres. We can express this ratio as a fraction:
Purple pyramids : Yellow spheres = 1 : 6
This can be simplified by dividing both sides by 6:
1/6 Purple pyramids : 1 Yellow sphere = 1/6 : 1
Now, we can add the two fractions to get the total fraction of pyramids in the necklace:
1/6 + 1 = 7/6
This means that out of every 7 beads, 1 is a purple pyramid. We can express this as a fraction:
1/7 of the beads are purple pyramids.
So, the fraction of the beads that are pyramids is 1/7.
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Complete Question:
A necklace is made from purple pyramids and yellow spheres in a 1:6 ratio . What fraction of the beads are pyramids?
Pls show your work thank you will mark the Brainliest
Answers
Answer D
Step-by-step explanation:
A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was a $1.50 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the museum. Show your work or explain your answer.
Answers
Answer:
Equation: 4(x + 1.5) = 38
Ticket Cost: $8, or x = 8
Step-by-step explanation:
The processing fee for each ticket is $1.50, or 1.5. This applies to each ticket, meaning that the price of one ticket (or x) should be added to 1.5. x + 1.5 represents the sum of a ticket and the processing fee. Since there were 4 tickets purchased, x + 1.5 is multiplied 4 times. That results in 4(x + 1.5). Finally, the total amount of money spent was $38, so 4(x + 1.5) = 38.
4(x + 1.5) = 38
4x + 6 = 38
4x = 32
x = 8
Check:
4 * 8 = 32 (cost of 4 tickets)
4 * 1.5 = 6 (cost of 4 processing fees)
32 + 6 = 38 (4 tickets + 4 processing fees = total)
(b) a telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 6 to 13. what is the probability of a successful call? (round your answer to two decimal places.)
Answers
Probability of a successful call 0.3157 = 31.57%
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 6 to 13.
This means that in 6+13 = 19 calls, 6 are successful.
What is the probability of a successful call?
p = 6/19 =
0.3157 = 31.57% probability of a successful call.
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Solve for x ? Question in picture
Answers
Answer:
22
Step-by-step explanation:
x+35=56
56-35=22
x=22
Sarah charges $12 an hour when she
babysits. She also charges a non-refundabl
$5 fee just for showing up. What equation
could be used to represent the relationship
between x, the number of hours she
babysits, and y, the amount of money she
makes? jo
Answers
The equation which correctly shows the relationship between x, number of hours and y, the amount of money she makes is; y = 12x + 7.
What is the relationship between x and y as described?It follows from the task content that the relationship between y and x is to be.
By comparison with the slope-intercept equation; y = mx + c.
Since, slope, m is the rate of change; m = 12$ per hour.
Also, the nonrefundable one-time fee for showing up represents the y-intercept, c.
Therefore, the required equation is;
y = 12x + 5.
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a car dealership collected a sample of 1000 used cars for miles cars were driven. the sample included 20 different car models, across multiple years. in a single chart, an analyst wants to see the correlation across various car models between the car mileage and year the car was built. which chart is most appropriate? line chart none of the above heatmap chart scatterplot chart
Answers
The most appropriate chart to see the correlation between car mileage and year the car was built for various car models would be a scatterplot chart.
In a scatterplot chart, each point represents a pair of values: one value on the x-axis (in this case, year the car was built) and another value on the y-axis (in this case, mileage). By plotting these pairs of values for each car model in the sample, we can visually examine the relationship between mileage and year built for each car model and determine if there is a correlation between the two variables.
A line chart is used to display data that changes over time, typically for a single variable. A heatmap chart is used to show the magnitude of values for different categories using different colors. Therefore, neither of these chart types would be appropriate to show the correlation between mileage and year built for various car models.
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x + 1/2y when x= -5/6 and y= -2/5 in simplest form
Answers
Answer:
Improper fraction: -31/30
Mixed number: -1 1/30
Step-by-step explanation:
If x = -5/6 and y = -2/5, we can start by replacing x and y in the equation x + 1/2y.
x+1/2y -> -5/6+1/2(-2/5)
Now we can start solving the equation:
According to the Order of Operations, we have to start with multiplication before addition. So, let's multiply 1/2 and -2/5. We get -2/10, which simplifies to -1/5.
Now we have to do the addition: -5/6+(-1/5)
To add fractions together, we have to find a common denominator. We can do this by finding the LCM of the two denominators(Least common multiple).
6: 6, 12, 18, 24, 30, 36...
5: 5, 10, 15, 20, 25, 30, 35...
The LCM is 30.
-5/6 x 5/5 = -25/30 <-- the equivalent fraction of -5/6
-1/5 x 6/6 = -6/30 <-- the equivalent fraction of -1/5
-25/30 + (-6/30) = -31/30
The answer is -31/30 in improper fraction form, and -1 1/30 in mixed number form.
how many ways can patricia choose 3 pizza toppings from a menu of 10 toppings if each topping can only be chosen once?
Answers
Step-by-step explanation:
the equation we use here is [items to choose from] to the power of [required items]; in this case, we get [tex]10^{3}[/tex].
Barb is three times as old as her twin nieces Allie and Sam. The sum of their three ages is 55. How old is each person now?
Answers
Answers: Each twin is 11 years old. Barb is 33 years old
Work Shown:
x = age of each twin
3x = Barb's age
x+x+3x = 5x = total of their ages = 55
5x = 55
x = 55/5
x = 11
Each twin is 11 years old. Barb is 3x = 3*11 = 33 years old.
Check: twin1+twin2+barb = 11+11+33 = 55
The answers are confirmed.
What ordered pairs are the solutions of the system of equations shown in the graph
below?
Answers
The solutions of the system of equations are (-1, 2) and (3, -5)
What ordered pairs are solutions of the system of equations?Here we have a graph of a system of equations. The solutions are all the points where the graphs of the two equations intersect.
Here we can see two intersection points, thus, we have two solutions. We can see that the first intersection is at (-1, 2) and the second intersection is at (3, -5)
So these two are the solutions of the system of equations.
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Does the set of odd integers have the density property? Explain.
Answers
It should be noted that the set of odd integers has the density property. The density property states that for every subset of the real numbers that contains an infinite number of points, the interior of that subset contains a non-empty open interval. This is true
How to explain the informationThe set of odd integers is a countable subset of the real numbers, meaning that it can be put into a one-to-one correspondence with the natural numbers. However, even though it is countable, it still has an infinite number of points.
Since the set of odd integers contains an infinite number of points, it must contain a non-empty open interval in its interior. To see this, consider the interval (2n-1, 2n+1) for any positive integer n. This interval contains the odd integer 2n and its endpoints are both odd integers, so it is completely contained in the set of odd integers.
Therefore, the set of odd integers has the density property and is a dense subset of the real numbers.
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Uriel collects aluminum cans, crushes them with a hand can-crushing machine, and turns the crushed cans in once a month for extra money. Uriel can crush 3 cans in 23 of a minute. What is the rate, in cans per minute, at which Uriel crushes aluminum cans?
Answers
If Uriel can crush 3 cans in 23 of a minute, Uriel crushes aluminum cans at a rate of 4.5 cans per minute.
The problem gives us information about the number of cans Uriel can crush and the time it takes him to do so. We want to find the rate at which he crushes the cans, which is a measure of how many cans he can crush per minute.
To find this rate, we use a proportion. A proportion is a statement that two ratios are equal. In this case, we can set up a proportion that relates the number of cans Uriel crushes to the time it takes him to do so, and the rate at which he crushes the cans:
3 cans / (2/3 min) = x cans / 1 min
Here, the first ratio is the number of cans Uriel can crush in 2/3 of a minute (which is the same as saying that he can crush 3 cans in 2/3 of a minute). The second ratio is the unknown rate at which Uriel crushes cans per minute.
To solve for the unknown rate, we use cross-multiplication. This involves multiplying both sides of the proportion by the same value in order to isolate the unknown variable on one side of the equation.
In this case, we can cross-multiply by the denominators of each ratio:
3 cans × 1 min = (2/3 min) × x cans
Simplifying the left-hand side, we get:
3 cans × 1 min = 3 cans/min
Simplifying the right-hand side, we get:
(2/3 min) × x cans = 2x/3 cans/min
Putting these together, we get the equation:
3 cans/min = (2x/3) cans/min
We can now solve for x by isolating it on one side of the equation. To do this, we can multiply both sides by 3/2:
(3/2) × 3 cans/min = x cans/min
Simplifying, we get:
4.5 cans/min = x cans/min
Therefore, Uriel crushes aluminum cans at a rate of 4.5 cans per minute.
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The price of a Loungy Chair was $400. The price of this chair has just gone up by 20%. Make a percent table to find the new price of the Loungy Chair
Answers
The percent table is:
100 % ⇒ $400
120 % ⇒ $480
The initial price of the Loungy chair was $400.
So, the initial price(P₀) = $400
The price of the chair has gone up by 20%
So, increase in price(r) = 20%
The final price will be calculated by using the formula:
P = P₀(1 + r/100) (where P is the final price)
P = 400(1 + 20/100)
P = 400(1 + 0.2)
P = 400 × 1.2
P = $480
Hence, the final price of the Loungy chair is $480
Percent table:
100 % ⇒ $400
120 % ⇒ $480
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pls help me i need now and if the answer is correct i give free BRAINLIEST HERE!!!!
THANK YOU
Answers
The measures of the angles formed by the cords and secant in the circle are found using circle theorems and presented as follows;
m∠1 = 47.5°[tex]m\widehat{BD}[/tex] = 110°m∠COD = 55°[tex]m\widehat{CD}[/tex] = 20°m∠AOC = 100°m∠APB = 25°m∠ADB = 25°[tex]m\widehat{CD}[/tex] = 90°[tex]m\widehat{AB}[/tex] = 70°[tex]m\widehat{CD}[/tex] = 100°What is a secant of a circle?A secant is a line that has two points of intersection on a circle.
The specified parameters are;
1. The measure of arc [tex]m\widehat{AB}[/tex] = 80°, and the measure of [tex]m\widehat{CD}[/tex] = 15°
Angle at the center of the circle = 2 × Angle at the circumference
Angle at the center of the circle = The arc angle of the circle
Therefore;
m∠DAC = 15°/2 = 7.5°
m∠ACO = 80°/2 = 40°
The external angle of a triangle theorem, indicates that we get;
m∠1 = 40° + 7.5° = 47.5°
m∠1 = 47.5°
2. m∠BOD = 100°, [tex]m\widehat{AC}[/tex] = 90°
The intersecting chords theorem indicates that we get;
m∠BOD = (1/2)×([tex]m\widehat{AC}[/tex] + [tex]m\widehat{BD}[/tex])
Therefore; 100° = (1/2)×(90° + [tex]m\widehat{BD}[/tex])
[tex]m\widehat{BD}[/tex] = 2 × 100° - 90° = 110°
[tex]m\widehat{BD}[/tex] = 110°
3. [tex]m\widehat{AB}[/tex] = 90°, [tex]m\widehat{CD}[/tex] = 20°
Therefore; m∠ACO = 90°/2 = 45°
m∠DAC = 20°/2 = 10°
The external angle theorem indicates that we get;
m∠COD = 45° + 10° = 55°
m∠COD = 55°
4. m∠1 = 35°, [tex]m\widehat{AB}[/tex] = 50°, therefore;
m∠ACO = 50°/2 = 25°
m∠CAO = 35° - 25° = 10°
[tex]m\widehat{CD}[/tex] = 2 × m∠CAO
Therefore; [tex]m\widehat{CD}[/tex] = 2 × 10° = 20°
[tex]m\widehat{CD}[/tex] = 20°
5. m∠AOC = (1/2)×([tex]m\widehat{AC}[/tex] + [tex]m\widehat{BD}[/tex])
Therefore; m∠AOC = (1/2)×(90° + 110°) = 100°
m∠AOC = 100°
6. [tex]m\widehat{CD}[/tex] = 20° and [tex]m\widehat{AB}[/tex] = 70°
The external secant, tangent theorem, indicates that we get;
m∠APB = (1/2) × ([tex]m\widehat{AB}[/tex] - [tex]m\widehat{CD}[/tex])
m∠APB = (1/2) × (70° - 20°) = 25°
m∠APB = 25°
7. [tex]m\widehat{AB}[/tex] = 50°,
The angle at the center of a circle is twice the angle subtended at the circumference, therefore;
m∠ADB = 50°/2 = 25°
m∠ADB = 25°
8. m∠CAD = 45°
The angle formed by an arc at the center of a circle theorem, indicates that we get;
[tex]m\widehat{CD}[/tex] = 2 × m∠CAD
[tex]m\widehat{CD}[/tex] = 2 × 45° = 90°
[tex]m\widehat{CD}[/tex] = 90°
9. m∠ACB = 70°
m∠ACB is the angle subtended by the arc [tex]m\widehat{AB}[/tex] on the circumference
Therefore;
[tex]m\widehat{AB}[/tex] = 2 × m∠ACB
[tex]m\widehat{AB}[/tex] = 2 × 70° = 140°
[tex]m\widehat{AB}[/tex] = 70°
10. m∠AOB = 80°, [tex]m\widehat{AB}[/tex] = 60°
m∠(AOB) = (1/2) × ([tex]m\widehat{AB}[/tex] + [tex]m\widehat{CD}[/tex])
Therefore; m∠(AOB) = 80° = (1/2) × (60 + [tex]m\widehat{CD}[/tex])
80° = (1/2) × (60 + [tex]m\widehat{CD}[/tex])
[tex]m\widehat{CD}[/tex] = 2 × 80° - 60° = 100°
[tex]m\widehat{CD}[/tex] = 100°
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Please find the degree of angle x!
Answers
Answer:22.61 degrees
Step-by-step explanation:
Use reverse tangent
1. an aerospace company has submitted bids on two separate federal government defense contracts. the company president believes that there is a 61% probability of winning the first contract. if they win the first contract, the probability of winning the second is 74%. however, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 20%. what is the probability that they lose both contracts?
Answers
The required probability of loosing both the contracts with 61% chances of winning first contract and 74% chances of second contract is equal to 0.1014.
Probability of winning the first contract 'P(A)' = 61%
= 0.61
Probability of winning the second contract 'P(B)' = 74%
= 0.74
Probability of loosing both the contracts is
= [ 1 - P(A) ] × [ 1 - P(B) ]
= [ 1 - 0.61 ] × [ 1 - 0.74 ]
= 0.39 × 0.26
= 0.1014
Therefore, the probability of loosing both the contracts as per given contracts winning possibility is equal to 0.1014.
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9 A square is graphed on the set of axes below, with vertices at
(-1,2), (-1,-2), (3,-2), and (3.2).
Which transformation would not carry the square onto itself
Answers
Answer:
With the information given, I would say a dialation.
Step-by-step explanation:
Rotation of 180 degree around point (1, 0). Therefore, option (3) is the correct answer.
What is a transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given that, the square with vertices (-1, 2), (-1, -2), (3, -2) and (3, 2).
(1) Reflection over the y-axis
Then the vertices become (1, 2), (1, -2), (-3, -2) and (-3, 2)
So, the transformation carries the square onto itself.
(2) Reflection over the x-axis
Then the vertices become (-1, -2), (-1, -2), (3, 2) and (3, -2)
So, the transformation carries the square onto itself.
(3) Rotation of 180 degree around point (1, 0)
(x, y) becomes (-y, x) 180° clockwise
So, the coordinate points are (-2, -1), (2, -1), (2, 3) and (-2, 3)
So, the transformation does not carries the square onto itself.
Therefore, option (3) is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
A square is graphed on the set of axes below, with vertices at (-1,2), (-1,-2), (3,-2), and (3.2). Which transformation would not carry the square onto itself.
(1) Reflection over the y-axis
(2) Reflection over the x-axis
(3) Rotation of 180 degree around point (1, 0)
(4) Reflection over the line y=x-1
