Answer:
To calculate the radius of the circle, you need to use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is the same for all three sides of the triangle. Therefore, in your triangle, the ratio of the length of the side opposite the 60° angle to the sine of the 60° angle is the same as the ratio of the length of the other two sides to their respective sines.
Let's call the two adjacent sides of the triangle a and b, respectively. The Law of Sines states that:
a/sin(60°) = b/sin(30°)
The length of side a is 12, and the length of side b is 12 times the square root of 3. This means that:
12/sin(60°) = (12√3)/sin(30°)
We can rearrange this equation to calculate the radius of the circle:
r = 12 * sin(30°) / sin(60°)
This gives us a radius of 12√3.
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If a car travels at a constant speed of v miles per hour for t hours, it will travel vt miles.
Evaluate vt for v=61 and t=5. What does your result mean in this situation?
The value vt= 305 shows the distance travelled.
What is Speed- Distance Formula?Speed = Distance/TimeDistance = Speed X Time, and Time = Distance / SpeedGiven:
If a car travels at a constant speed of v miles per hour for t hours, it will travel vt miles.
we have v= 61 and t= 5
So, vt = 61 x 5 = 305
As, we know from the formula
speed = distance/ time
distance = speed x time
here speed= v, time= t
So, the value vt= 305 represents the distance travelled when speed is 61 and time is 5.
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find the digits in the hundreds place, in the tenths place, and in the thousandths place for the following number. 401.5176
The digit in the hundreds place is 4, the digit in the tenth place is 5, and the digit in the thousandth place is 1.
To find the digit in the hundreds place, you can simply divide the number by 100 and look at the hundreds place of the result. In this case, 401.5176 ÷ 100 = 4.015176, so the digit in the hundreds place is 4.
To find the digit in the tenth place, you can look at the first digit to the right of the decimal point. In this case, the digit in the tenth place is 5.
To find the digit in the thousandth place, you can look at the second digit to the right of the decimal point. In this case, the digit in the thousandth place is 1.
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Please help me with this question.
The total amount earned by Kedar is $2285.1.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Kedar's salary is $2200. The commission amount is 3.7%. The total earnings will be calculated as:-
Total earning = 2200 + ( 4500 - 2200 ) x 0.037
Total earning = 2200 + 85.1
Total earning = $2285.1
Therefore, the total amount earned by Kedar is $2285.1.
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3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
4. College students receive a 10% discount on the amount before tax. Calculate
the amount of the discount on this bill.
The amount of the discount 10% on this bill is, $11.767
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
Discount amount 10% = 117.67x10/100
= 11.767
Hence, the discount amount is $11.767
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The ratio of the measures of the three angles is 2:5:3 find each angle
Answer:
To find the measures of each angle, we first need to determine the total measure of all three angles in the triangle. Since the sum of the measures of the angles in any triangle is 180 degrees, we can find the total measure of all three angles by multiplying the ratio 2:5:3 by 180.
We can find the total measure of all three angles by using the rule of three.
2/5+5/3+3/2 = 180/x
Solving for x:
x = 1802532/ (2+5+3) = 180*60/10 = 1080
So, the total measure of all three angles is 1080 degrees.
Then, we can find the measure of each angle by multiplying the fraction of the ratio that represents that angle by the total measure of all three angles.
The measure of the first angle is: 2/10 * 1080 = 216 degrees
The measure of the second angle is: 5/10 * 1080 = 540 degrees
The measure of the third angle is: 3/10 * 1080 = 324 degrees
QUICKLY I WILL GIVE YOU YOUR POINT FOR THE FASTEST PERSON TO ANSWER
For each value of v, determine whether it is a solution to 15 ≤v.
10
21
12
14
Is it a solution? Yes or No for each number
Answer:
21
Step-by-step explanation:
15 ≤10
15 ≤12
15 ≤14
15 isn't less or equal to 10, neither is 12 and 14.
Im struggling, Can anyone help?
There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1 cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plank that is 5 meters long onto an ark. They do this in pairs, side by side, one male and one female from each species. The pairs of beetles are spaced so there is a gap of 7 cm between species. How many hours will it take for all 1/4 million species of beetles to embark onto the ark once the first pair starts up the gangplank?
It will take a total of 41.68 hours for 1/4 million species of beetles to embark.
How many species will embark?A total of 250,000 species will embark (1,000,000/ 4 = 250,000)
How long will it take them to embark?Each pair of beetles will occupy 6 cm (one centimeter + space before the next pair). This means the space for all the beetles is 1500000 cm (250000*6 cm)
Now, their speed is 10 cm/per second, so at this speed, it will take 150000 seconds to pass the bottom of the gang-plank (1500000/ 10) + 50 seconds to go up, which is equal to 150050 seconds. Based on this, let´s find out the time
15005/6 minutes
3001/72 hours
41.68 hours
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Determine the set of all real numbers 푥 such that
2푥 + 1 ≤ 5푥,
3푥 + 5 > 4푥 − 2.
Note that 푥 must satisfy both inequalities. Graph the result on the number
line.
The solution to the inequality is 1/3 ≤ x < 7
How to determine the solution to the inequalityFor the first inequality:
2x + 1 ≤ 5x
Solving for x:
2x + 1 - 5x ≤ 0
-3x + 1 ≤ 0
-3x ≤ -1
x ≥ 1/3
For the second inequality:
3x + 5 > 4x - 2
Solving for x:
3x + 5 - 4x + 2 > 0
-x + 7 > 0
x < 7
The set of all real numbers that satisfy both inequalities is:
1/3 ≤ x < 7
Graphically, this is represented on the number line
|----|---|---|---|---|---|---|---|---|---|
1/3 7
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Match each statement as an example of classical probability, empirical probability, or subjective probability.
-
Recruiters in UAE expect that there is an 80% chance that remote hiring will increase in 2023.
-
A medical center has 20 medical employees of whom 5 are physicians, 10 are nurses, 3 are Lab technicians and 2 are radiologists. The probability that a randomly selected medical employee from this center will be a nurse is 0.50.
-
Based on a survey of 1,012 Emiratis and residents, it is estimated that there is a 73% chance that a randomly selected adult will say that he/she is playing games on mobile phones.
-
A climate change expert said that there is a 40% chance that the frequency of extreme floods in Asian countries will double in the coming 5 years.
-
According to Sharaf DG records, there is a 25% chance that the customer who buys a smartphone will buy a bluetooth headphones also.
A.
Subjective Probability
B.
Classical Probability
C.
Empirical Probability
The situations described are A : subjective, B : classical, C : empirical, D : subjective and E : empirical.
What is Classical, Empirical and Subjective Probability?In Classical probability, probability of an event is found using the basic probability formula assuming the outcomes in a sample space are equally likely.
In Empirical probability, experiment is actually done and record the outcomes.
In subjective probability, probability is based completely on the intuition or guess.
A : Recruiters are making a wild guess that there is an 80% chance that remote hiring will increase in 2023. This is a subjective probability.
B : This is classical probability because the probability is found by the basic formula, Number of nurses divided by total number of medical employees = 10/20 = 0.50.
C : This is an empirical probability because the experiment of survey is already done to find that there is a 73% chance that a randomly selected adult will say that he/she is playing games on mobile phones.
D : This is a subjective probability because the climate change expert made a educated guess.
E : This is an example of empirical probability because, the probability is known according to the Sharaf DG records.
Hence the situations are classified as classical empirical and subjective probability.
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A programmer for a weather website needs to display the proportion of days with freezing temperatures in a given month.
Their algorithm will operate on a list of temperatures for each day in the month. It must keep track of how many temperatures are below or equal to 32. Once it's done processing the list, it must display the ratio of freezing days over total days.
Which of these correctly expresses that algorithm in pseudocode?
The correctly expresses that algorithm in pseudocode
numFreezing ← 0
numDays ← 0
FOR EACH temp IN temps
IF (temp ≤ 32)
{numFreezing ← numFreezing + 1}
{numDays ← numDays + 1}
DISPLAY(nonfreezing/numDays)
For this situation, Pseudocode B would be appropriate. Two variables are created by this code for the overall number of days (numDays) and the number of freezing days (nonfreezing). Then, it does a loop over the complete collection of data to determine whether each temperature is less than or equal to 32 degrees.
If so, it adds it to nonfreezing; otherwise, it skips the step while still increasing the number of days after each loop by 1. Contrary to answer A, which prints the ratio after each loop iteration, this answer only prints the ratio once the loop has been completed.
numFreezing ← 0
numDays ← 0
FOR EACH temp IN temps
IF (temp ≤ 32)
{numFreezing ← numFreezing + 1}
{numDays ← numDays + 1}
DISPLAY(nonfreezing/numDays)
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The full question:
A programmer for a weather website needs to display the proportion of days with freezing temperatures in a given month.
Their algorithm will operate on a list of temperatures for each day in the month. It must keep track of how many temperatures are below or equal to 32. Once it's done processing the list, it must display the ratio of freezing days over total days.
Which of these correctly expresses that algorithm in pseudocode?
Try This question out and I’ll give you brainliest
Answer:
18%
Step-by-step explanation:
Celia=100%-Mark-Juan-Mary
Celia=100%-36%-29%-17%
Celia=100%-82%
Celia=18%
If you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment
The payment when you lease a new Toyota Corolla is 5935.
How to calculate the total payment?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
From the information, you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment.
The total payment will be:
= 2599 + (139 × 24)
= 2599 + 3336
= 5935
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Complete question
If you lease a new Toyota Corolla, the dealer is offering a 24 month deal where you pay 139 per month and a 2,599 down payment. What is the total payment?
In a volatile housing market, the overall value of a home can be modeled by V(x) = 210x^2 – 4400x + 125000, where V represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this function means in terms of the value of the home. Show the work you completed to determine the vertex.
The vertex is (21, 125210)
The vertex shows that the overall value of home in 21 years after 2020,i.e., in 2041 is 125210 dollars.
What is quadratic equation in math?
A polynomial equation of the second degree, or a quadratic, must contain at least one squared term to be considered a quadratic.
Equations with quadratic terms are another name for them. The quadratic equation is expressed in its general form as ax2 + bx + c = 0. When the numerical coefficients a, b, and c are present and x is an unknown variable.
The overall value of a home is modeled by
v(x) = 210x²-4400x+125000
This is a quadratic function which is of the form ax²+bx+c ⇒ x²+(b/a)x+(c/a)
The vertex of a quadratic function is the point where the rate of change of function is zero.
x-coordinate of the vertex is given by (-b/2a) and the y-coordinate is the corresponding y-value to the x-coordinate of the vertex.
Hence here, x-coordinate = -(-4400/210) = 20.95 ≈ 21
y-coordinate = 210 x 21²-4400 x 21+125000 = 125210
The vertex is (21, 125210).
The vertex shows that the value of home in 21 years after 2020,i.e., in 2041 is 125210 dollars.
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What is the area of the triangle? PLEASEE HELP ME
Answer: I believe the answer is 60 square miles.
Step-by-step explanation:
Base = 8, height = 15
A= 15*8/2 = 60
Please help me with this question.
By integration by parts, the integral ∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx is an alternative form of integral ∫ 4 · x · e³ˣ dx. (Correct choice: A)
How to define an integral by means of integration by parts
Herein we find the case of an integral of a product of two functions that cannot be integrated by means of a single integral and algebraic substitution, this can be found alternatively by definition of integration by parts:
∫ u dv = u · v - ∫v du
First, define functions u and dv:
u = 4 · x
dv = e³ˣ dx
Second, find functions du and v:
du = 4 dx
v = (1 / 3) · e³ˣ
Third, find the alternative integral equation:
∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx
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Find the smallest pair of 4-digit numbers such that the difference between them is 303 and
their HCF is 101. Show your steps.
Based on the information, it can be inferred that the required numbers are 1010 and 1313.
How to identify the required numbers?To find the required numbers we must find the HCF, that is, the highest number by which these two numbers can be divided (303 and 101). We have tried this procedure with different numbers as shown below:
101 x 10 = 1010101 x 11 = 1111101 x 12 = 1212101 x 13 = 1313Once we have these digits, we must find the numbers whose difference is 303; these numbers are 1010 and 1313.
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Please Help Before Tomorrow Thank you!!!
Answer: 5,211 dollars
Step-by-step explanation: Our first approch to this is to find the number of Gala and Honeycrisp(HC) Trees are there.
We are given the number of total trees (81 trees) and the ratio between Gala and HC trees (5 to 4). This means for every set of 9 trees, 5 will be Gala and 4 will be HC. We can create the equation
9x = 81
5x = number of gala trees
4x = number of HC trees
x represents the number of sets of 9 trees so in this case, there will be 9 sets if you solve for x.
9x = 81
divide both sides by 9
x = 9
We can plug this back into the 2 other equations that represent the number of each tree so
5(9) = 45 gala trees,
4(9) = 36 HC trees
This makes sense since 45+36 = 81 so it adds up
Now to find the amount of money just take the amount of each trees we have and multiply it by the pounds each tree made then multiply it by the price each pound makes.
45 gala trees * 25 pounds * 1.52 dollars = 1,710 dollars
and
36 HC trees * 25 pounds * 3.89 dollars = 3,501 dollars
Finally, add both of them up to get the total profit
1,710 + 3,501 = 5211 dollars
linear inequalities in two variables
Linear inequalities in two variables are mathematical statements involving two variables, such as x and y, that are related to each other by a linear equation.
What is variables?Variables are symbols or names used in programming or mathematics to represent a value that can change. They are typically used to store data that can be used in calculations, or to control the flow of a program. Variables can be declared and assigned a value, and the value can be changed at any time.
Linear inequalities in two variables are mathematical statements involving two variables, such as x and y, that are related to each other by a linear equation. A linear inequality in two variables is a mathematical statement that can be written in the form “ax + by < c” or “ax + by > c”, where Real numbers a, b, and c, as well as variables x and y, are used.. The inequality can be written in a number of different forms, including slope-intercept form, standard form, and point-slope form.
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Please help me with the following question.
Answer:
Step-by-step explanation: I can't see what there
find the width of a rectangle with perimeter of 64cm and. length of 18 cm
Answer:14 cm
Step-by-step explanation:
There are 20 students in a class. 5 of them scored A and 10 of them scored B while the others scored C for Calculus. If a student is selected at random, what is the probability that the selected student scored A or B in Calculus?
Answer:
15/20
Step-by-step explanation:
5students=a
10students=b
15/20
please tell me if i got it right
a sandwich store has a machine which packs 10 sandwiches in 3 minutes how many hours will the machine take to pack 100 sandwiches?
Answer: The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.
Step-by-step explanation:
The machine packs 10 sandwiches in 3 minutes, so it packs 10/3 = 3.33 sandwiches per minute.
To pack 100 sandwiches, it would take 100/3.33 = 30 minutes, or 30/60 = 0.5 hours.
Answer:
0.5 hours or 30 minutes10:3
100:?
10*10=100
3*10=30
100:30
Step-by-step explanation:
For what values of r will the area of the shaded region be greater that or equal to 12 square units? Write your answer as an inequality.
The value of r should be greater than 8 in order for the area of the shaded region to be greater than 12.
What is an inequality?An inequality is an inequation separated by <,>≥,≤
Given here: A rectangle with dimensions r and 3 units
Thus area of the square is given by a=3r
Now area of the shaded region is given by
3r-1/2 ×3×r where ( 1/2×3×r is the area of the non-shaded triangle)
3r-1.5r
1.5r
Again the area of the shaded region is given by
1.5r>12
r>8
Hence, The value of r should be greater than 8 in order for the area of the shaded region to be greater than 12.
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Find the values of x for which g(x) = 5.
Answer:
The question is meaningless without the definition of the function g(x).
EASY POINTS!
If you borrow $150 from your parents and one year later, they ask you to repay $200, what percent interest are they charging you?
250%
33.3%
71%
71.3%
Answer:
33.3%
Step-by-step explanation:
they're charging u 50 more
50 is 1/3 of 150 and 1/3 to percentage form is 33.3%
Answer:
33.3% I think
Step-by-step explanation:
Correct me if I'm wrong
200-150=50
150x33.3%=49.95
49.95+150=195.95
Close enough? nothing else works and 33.4% is over.
Consider the function in the graph to the right.
Step-by-step explanation:
There are two curves on this graph. One that is higher than the other. The higher one is the max and the lower one is the min
Let's find the coordinate of the higher one. Looks like it's at (2,3). This means The function has a maximum of 3 at x=2
The lower on is the same process. Looks like that ons is at (-3,-2). This means The function has a minumum of -2 at x=-3
ap stats what can be a binomial variable two people with equal skills; one game for 50 days, skills never change
The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.
In this scenario, the binomial variable is the number of wins for the two people with equal skills playing a game for 50 days.
The probability of success (a win) is the same for each game, and the number of trials is fixed at 50, making this a binomial experiment.
Probability is the measure of how likely it is that an event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that it is certain to occur. The probability that an event will occur is determined by the likelihood of each possible outcome and the number of possible outcomes.
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Complete question:
A binomial variable in the context of this scenario would be the number of wins out of 50 games, since there are only two outcomes that can occur: a win or a loss.
Program x has annual cost of $35,000 and in returns is expected to save the company $40,000 during the first year assuming the costs and savings are equally distributed across each month after how many months with the company recovery is investment and program x
The required Number of months with the company recovery is investment and program x are 10.5.
What is Saving?Saving enhances emotions of stability and peace of mind and offers a financial "backstop" for life's uncertainties. Savings can serve as the "seed money" for higher-yielding assets like stocks, bonds, and mutual funds if an appropriate emergency fund has been developed.
According to question:This calculation can be used to determine the payback period
Payback of month = [tex]\frac{cost of invesment}{Saving during the year}[/tex] × months in year
= [tex]\frac{35000}{40000}[/tex] × 12
= 10.5 months
Thus, required number of months are 10.5 months.
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If a box of clothes weighs 10 lb 4.5 kg and a box of books ways the same if they were both put on a balance being scale with one way heavier than the other
A new car is purchased for 20500 dollars. The value of the car
depreciates at 14% per year. To the nearest tenth of a year, how long
will it be until the value of the car is 7900 dollars?
The nearest tenth of a year, about 11 years 5 months long will it be until the value of the car is 7900 dollars
How long will it be until the value of the car?For $25,000, a brand-new car is bought. The automobile loses 14% of its value annually.
x=6.3.
Using the conditions stated, come up with:
20500 . 1 - 14% x 7900
Determine the difference or total:
First, we convert R percent to r a decimal,
which is 14%/100, which is 0.14 each year. Next, we solve for t by using the ratio
(1/0.14)(20500/7900) - 1),
which gives us 11.39 years.
At a basic interest rate of 14% per year, it will take 11.39 years to accumulate a total of $20,500.00 from the principle and interest on a $7,900.00 starting point (about 11 years 5 months).
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Answer: 6.3
Step-by-step explanation: just because
