Answers
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{1}\\ o=\stackrel{opposite}{1} \end{cases} \\\\\\ y=\sqrt{ 1^2 + 1^2}\implies y=\sqrt{ 1 + 1 } \implies y=\sqrt{ 2 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{\sqrt{2}}\\ o=\stackrel{opposite}{13} \end{cases} \\\\\\ x=\sqrt{ (\sqrt{2})^2 + 13^2}\implies x=\sqrt{ 2 + 169 } \implies x=\sqrt{ 171 }\implies \boxed{x=3\sqrt{19}}[/tex]
Related Questions
the head of hr in a 50,000 person pharmaceutical company wanted to determine if she should implement a work at home policy for the company. first, she wanted some information. she asked the data analyst to determine if marital status affected commuting times. she assumed that married people lived farther away because they were more likely to have children and be concerned about school districts and communities. on the other hand, single people would want to live close to work. the hr analyst tasked with the job randomly selected 15 employees and found that marital status was related to commute times, but surprisingly, it was in the opposite direction. she found single people lived farther away than married people. what error did the hr analyst make?
Answers
The head of hr in a 50,000 person pharmaceutical company wanted to determine if she should implement a work at home policy for the company.
The HR analyst made an error in assuming that correlation implies causation. Just because there is a correlation between marital status and commuting times.
Additionally, the sample size of 15 employees may not be representative of the entire population of the company, which has 50,000 employees. The small sample size may have introduced sampling bias or sampling error, which could affect the generalizability of the findings.
Hence, the HR analyst should not make a decision about implementing a work at home policy based solely on this small and potentially biased sample.
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Cassie has 16 bags of beads. Some of the bags contain 9 yellow beads and the rest contain 4 red beads. If Cassie has 114 beads in all how many bags of each color bead does cassie have
Answers
If some bags contain 9 "yellow-beads' and rest contain 4 "red-beads", then Cassie has 10 bags of yellow beads and 6 bags of red beads.
Let Cassie has "x" bags which contain 9 yellow beads and "y" bags which contain 4 red beads.
So, the total number of "yellow-beads" is 9x, and the total number of red beads is 4y.
We know that Cassie has 16 bags of beads in total, so we have:
x + y = 16 ...equation(1),
We also know that the total number of beads Cassie has is = 114,
So, 9x + 4y = 114 ...equation(2)
Now, we solve for x and y,
We first solve equation(1) for y,
We get,
y = 16 - x
Substituting this into equation(2),
We get,
9x + 4(16 - x) = 114,
5x = 50
x = 10
Substituting x = 10 into equation(1),
We get,
10 + y = 16
y = 6
Therefore, There are 10 bags of "yellow-beads" and 6 bags of "red-beads".
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help is appreciated, will mark brainliest!
Answers
The solution is:
b. The function has a maximum value. The maximum value of the function is 18.5.
Here, we have,
Let's consider the equation of a parabola.
f(x) = -2x² + 10x + 6
where,
a: -2
b: 10
c: +6
The sign of "a" determines the openness of the parabola. Since a < 0, the parabola is open downwards and has a maximum.
We can find "x" of the vertex using the following expression.
x(v) = -b/2a = -10/2.(-2) = -2.5
We can find the "y" of the vertex by replacing this x in the equation
y(v) = -2.(2.5)² + 10.(2.5) + 6 = 18.5
The vertex (maximum) is (2.5, 18.5).
Hence, The solution is:
b. The function has a maximum value. The maximum value of the function is 18.5.
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PLS HELP X
The map shows the length,in miles, of the routes between some towns
Answers
Step-by-step explanation:
Three reasonable routes :
92 + 49 + 37 = 178 mi
58+74+37 =169
58+125= 183
Shortest is Beginster - Alswell - Fulby - Endswell = 169 miles
Question 2 (1 point) (08.01 MC) Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the solution to the system of equations and explains why? (1 point) a (2, 8), because both lines pass through this point b (2, 8), because the point does not lie on any axis c (4, 14), because one of the lines passes through this point d (4, 14), because the point lies between the two axes
Answers
Answer:
423
Step-by-step explanation:
easy i did it
what is the anwser to this
Answers
The graph of the piecewise function in this problem is given by the image presented at the end of the answer.
How to graph the piecewise function?A piecewise function is a function that has different definitions, based on the input of the function.
The intervals of the piecewise function for this problem are given as follows:
x < 2 -> left of x = 2.x > 5 -> right of x = 5.For the first interval, the function is a constant horizontal line at y = -3.
For the second interval, we have a linear function with a slope of 1, hence two points are given as follows:
(5, -2), as when x = 5, y = 5 - 7 = -2.(7, 0), as when x = 7, y = 7 - 7 = 0.More can be learned about piecewise functions at https://brainly.com/question/19358926
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Find the area of the shaded polygon. ASAP PLease
Answers
Answer: 10.24
Step-by-step explanation:
Broke up top into trapezoid, then another trapezoid and 3 triangles
A1 = 2.75
A2=3.5
A3=1
a4=2
a5=1
Point N and L on the circle K and point Q and P on the circle O. Lines NP and QL intersect at point M. Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point Q. If NM=7x-18,LM=31, QM=6x-4, and PM= 5y-12, which of the following are true? Select all that apply.
Answers
The statements that are true from the list of options are x = 7, y = 10 and QM = 38
Selecting which of the statements are true?Given that
Line NP is tangent to Circle K and point N and tangent to circle O at point P. Lines LQ is tangent to circle K at point L and tangent to circle O and point QThis means that
NM = LM
So, we have
7x - 18 = 31
This gives
7x = 49
So, we have
x = 7
Next, we have
QM = PM
So, we have
6x - 4 = 5y - 12
So, we have
6(7) - 4 = 5y - 12
This gives
5y = 50
So, we have
y = 10
Calculating the lengths, we have
QM = 6(7) - 4
QM = 38
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The Mean, Median and only Mode of 5 numbers , 15 12 14 19 and x, are all equal. Find the value of x.
Answers
Answer:
Step-by-step explanation: 15
Mean means average, add all numbers and divide by amount
Mean= (15+12+14+19+x)/5
=(60+x)/5
Median means to list numbers in order and pick the middle one
12 14 15 19 x is somewhere in the list in middle
Mode means the number that occurs the most, so 1 of these numbers is repeated
It must be 14 or 15 because the median must be the same as the mean
let's try both
(60+14)/5 =14.8 (60+15)/15=15
The answer is 15.
The median of the data is M = 15 and the value of x = 15
What is Median?The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points
Arrange the data points from smallest to largest.
If the number of data points is odd, the median is the middle data point in the list.
If the number of data points is even, the median is the average of the two middle data points in the list.
Given data ,
The mean is calculated by summing all the numbers and dividing by the total count of numbers. In this case, we have 5 numbers, including x.
Mean = (15 + 12 + 14 + 19 + x) / 5
Since the mean is also equal to the median, we can rearrange the numbers in ascending order:
12, 14, 15, 19, x
The median is the middle number in a sorted list of numbers. In this case, the median is 15.
Since the mode is also equal to the mean and median, and we can see that 15 is the only number that appears more than once in the list, we can conclude that 15 is also the mode.
Setting the mean equal to 15 and solving for x:
15 = (15 + 12 + 14 + 19 + x) / 5
Multiplying both sides by 5 to eliminate the fraction:
75 = 15 + 12 + 14 + 19 + x
Subtracting the known numbers from both sides:
75 - (15 + 12 + 14 + 19) = x
15 = x
Hence , the value of x is 15 and median is 15
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So confused. Pls help asap
Answers
Answer:
3.75n + 5.4 is the required answer
x>
–
4
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
Answers
The graph of the inequality expression x > -4 is added as an attachment
How to graph the inequality expressionFrom the question, we have the following parameters that can be used in our computation:
x>
–
4
Express the inequality properly
So, we have
x > -4
Next, we plot the graph using a graphing tool
The graph is added as an attacment
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Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24
Answers
Answer:
-2x+24
Step-by-step explanation:
given,
= -3(2x-8)+4x
= -6x+24+4x
= 2x+24
therefore 2x+24 is the required equation.
hope it helps!
The tables represent the points earned in each game for a season by two football teams.
Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14
Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points
Answers
The team that has best overall record for the season is the falcons because they have a larger mean value of 20.9 points
What is mean value?The mean is the sum of all values divided by the total number of values. Therefore mean can be expressed as;
mean = sum of item /number of item
The mean value of Eagles = (3+24+14+27+10+13+10+21+24+17+27+7+40+37+55)/15
= 310/15 = 20.67
The mean value of falcons = (24+24+10+7+30+28+21+6+17+16+35+30+28+24+14)/15
= 314/15 = 20.93
Therefore since the mean value of falcons is higher than eagles, falcons has the best overall performance.
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work out the circumference of a 13cm circle. Take pi to be 3.142 and write down all the digits given by your calculator
Answers
The circumference of the 13cm circle is 40.846 cm.
What is the circumference of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The circumference of a circle is expressed mathematically as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.142 )
Given that; the diameter is 13 cm, the radius is half of that:
radius r = diameter / 2
radius r = 13m / 2
radius r = 6.5 cm
Substituting this into the formula, we get:
C = 2 × π × r
C = 2 × 3.142 × 6.5cm
C = 40.846 cm
Therefore, the circumference is 40.846 cm.
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HELP ITS THE BIGGEST GRADE IF THE YEAR In a science experiment, a scientist records the wavelengths of six waves. The wavelengths, in nanometers, are listed below.
0.0001
5/100
10^-3
1.0001
1/1,000
2x10^-2
Part A: Which two wavelengths are equal?
Part B: Which wavelength is the shortest?
To find the speed of a wave, the scientist uses the formula shown below.
speed = (wavelength) • (frequency)
The wave with wavelength 10^-3 nanometer has a frequency of 10^x .The speed of the wave is 10^y .where y > 3.
C. Write an inequality in terms of x to represent all possible values of x.
The wavelength of a seventh wave is recorded. The wavelength is greater than 2x10^-2 nanometer and less than
5/100 nanometer.
D. Write a possible wavelength, in nanometers, for the seventh wavelength. Write the possible wavelength as a fraction with a denominator of 100.
Answers
Answer:
Sure, I can help you with that.
Part A:
The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.
Part B:
The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.
Part C:
The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.
Part D:
The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.
Here is a table summarizing the answers:
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 12 m and a base with a diameter of 8.9 m.
Answers
Answer: 248.846m^3
Step-by-step explanation:
Volume of a cone=1/3pir^2h. The r would be 4.45 because diameter=2r. So, 8.9/2. Then plug everything in the equation, 1/3 pi (4.45)^2 (12) which is 248.846m^3
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral AB'CD'. The coordinates of A' are ( )
The reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D*. The coordinates of A" are ()
Answers
The coordinates of A' are (5, -3).
Since the reflected quadrilateral A'B'C'D' is then translated 3 units right and 2 units up to form quadrilateral A"B"C"D, the coordinates of A" are (8, -1).
What is a reflection?In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
Since quadrilateral A'B'C'D' underwent a reflection across the x-axis to form quadrilateral AB'CD', the original coordinates of triangle NLM can be calculated as follows;
(x, y) → (-x, y)
A (-5, -3) → A' (5, -3)
By applying a translation, we have:
A' (5, -3) → (5 + 3, -3 + 2) = A" (8, -1).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Lauren was driving in her neighborhood and approached a stop sign. When she applied the brakes, it took 4.5 seconds to come to a complete stop from a speed of 20 miles per hour. If Lauren creates a graph of her speed versus time as she applies the brakes, which of the following would describe the domain for her graph?
Answers
Answer:
Step-by-step explanation:
Assuming Lauren's speed started at 20 miles per hour , and decreased linearly to zero in a straight line as she applied the brakes, the domain of her graph would be the range of time it takes her to come to a complete stop. In this case, it is 0 seconds to 4.5 seconds.
So the domain of her graph would be [0, 4.5] seconds.
It's worth noting that without more information about the specifics of the braking process, such as the exact shape of the deceleration curve, this is an approximation.
Construct a box-and-whisker plot for the following data:
7, 8, 15, 19, 22, 24, 31, 35, 49, 49
Hint: Remember the five-number summary.
Minimum, Q1, Median, Q3, Maximum
Answers
Median = 23
Q1 = 11.5
Q3 = 42
Minimum = 7
Maximum = 49
We have,
To construct a box-and-whisker plot for the given data, we first need to find the five-number summary, which consists of the minimum, lower quartile (Q1), median, upper quartile (Q3), and maximum values.
Arrange the data in order from smallest to largest:
7, 8, 15, 19, 22, 24, 31, 35, 49, 49
Find the median, which is the middle value of the data:
Median = (22 + 24) / 2 = 23
Find Q1, which is the median of the lower half of the data:
Q1 = (8 + 15) / 2 = 11.5
Find Q3, which is the median of the upper half of the data:
Q3 = (35 + 49) / 2 = 42
Find the minimum and maximum values:
Minimum = 7
Maximum = 49
Thus,
Median = 23
Q1 = 11.5
Q3 = 42
Minimum = 7
Maximum = 49
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8 squared c + 18c - 7 = -2
Answers
Find angles c and d. Give your answers in degrees
(°).
60°
C
80°
40°
d
Not to scale
Answers
Answer:
c=100, d=40
Step-by-step explanation:
I need help with geometry, finding the measures for angles, it tells me one angle is 63, another is (2x+8), and another is (x+7)
Answers
Answer:
63, 41, and 76
Step-by-step explanation:
A triangle is equal to 180 degrees. So, its angles must be equal to 180 degrees. So, we set 63+2x+8+x+7 equal to 180. Combining like terms, we get 78+3x=180. We want to isolate x, so, we subtract 78 from both sides to get 3x=102. Then we divide by 3 on both sides, x=34. Now, that we have x, we plug it into (2x+8) and (x+7). 2(34)+8= 76 and (34+7)= 41.
A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to the nearest year.
Answers
Answer:23
Step-by-step explanation:
se the equation to complete the activity.
219 86Rn→215 84Po+α
The nuclear equation shows the transmutation of a form of radon into polonium and an alpha particle. In one to two sentences, explain whether or not the reaction is balanced.
(2 points)
Answers
The equation is balanced since an alpha particle was emitted.
As, Natural transformation happens on its own because of the element's half life. Unlike natural transmutation, which requires exposing one element to another element or particle by induction or bombardment.
The radon element transforms into polonium and an alpha particle in the example inquiry. The equation is as follows:
[tex]_{86}^{219}RN[/tex] => [tex]_{84}^{215}Po[/tex] + [tex]_{2}^{4}a[/tex]
Therefore, the equation is balanced since an alpha particle was emitted.
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Find the volume of this composite object!
(use 3 for pi)
Answers
Answer:
Step-by-step explanation:
Please help me with this math!!!!
Answers
Answer: The midpoint is at (-0.5, 2.5)
Explanation:
You are given a line segment with two points,
point 1: (-4,3)
point 2: (3,2)
To find the midpoint [tex](x_m,y_m)[/tex] of a line segment, we use these:
[tex]x_m=(\frac{x_1+x_2}{2})[/tex]
[tex]y_m=(\frac{y_1+y_2}{2})[/tex]
So, to solve:
[tex]x_m=(\frac{-4+3}{2})=(\frac{-1}{2})=-0.5[/tex]
[tex]y_m=(\frac{3+2}{2})=(\frac{5}{2})=2.5[/tex]
Which is the value of x?
Answers
The calculated value of x in the circle is 18 degrees
Which is the value of x?From the question, we have the following parameters that can be used in our computation:
The circle
The angle at a semicircle is 90 degrees
using the above as a guide, we have the following:
5x = 90
Divide by 5
So, we have
x = 18
Hence, the solution for x is 18 degrees
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Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters.Is the relationship between the radius of a circle and the distance around the circle the same for all circles?
Answers
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
Using this formula, we can find the circumferences of Circle A and Circle B:
Circumference of Circle A = 2π(21) = 42π meters
Circumference of Circle B = 2π(28) = 56π meters
To answer the second part of the question, yes, the relationship between the radius of a circle and the distance around the circle (circumference) is the same for all circles. The formula for the circumference of a circle, C = 2πr, shows that the circumference is directly proportional to the radius. This means that if we double the radius, we will also double the circumference, and if we triple the radius, we will also triple the circumference, and so on. This relationship holds true for all circles, regardless of their size or location.
A worker transferred 50 bags of rice weighting 38 kg 500 g each into a truck. The weight of the empty truck is 1480 kg. What will be the weight of the truck with the bags?
Answers
__________________________________
= 38kg × 50 bags= 1,900kg= 1,900kg + 1,480kg= 3,380kgThe Total Weight of The Truck With The Bags Will Be 3,380kg.__________________________________
Determine whether the question is a statistical question. Explain. How many pages are in the favorite books of students your age? Responses statistical; Pages of books have a numerical value. Statistical; Pages of books have a numerical value. Statistical; There are many different answers. Statistical; There are many different answers. Not statistical; There is only one answer. Not statistical; There is only one answer. Not statistical; There is an unlimited number of books to choose from. Not statistical; There is an unlimited number of books to choose from
Answers
The question "How many pages are in the favorite books of students your age?" is a statistical question. This is because the question is asking about a characteristic of a population (students of a certain age group), and the answer will likely vary from person to person. The response to the question is also numerical, which is another characteristic of a statistical question. Therefore, the correct responses are "Statistical; Pages of books have a numerical value" and "Statistical; There are many different answers."
