a sector with a radius of 15 cm has a central angle measure of 8/5 what is the area of the sector

Answer:area of the sector = 360 cmStep-by-step explanation:To calculate the area of the sector, we will follow the steps below;First write down the formula for calculating the area of a sector.If angle is measured in degree, then area of sector = /360 rbut if angle is measured in radians, thenarea of sector = 1/2 r In this case the angle is measured in radiance, hence we will use the second formulaFrom the question given, radius = 15 cm and angle = 8/5area of sector = 1/2 r =1/2 15 8/5 =1/2 225 8/5 =360 cmarea of the sector = 360 cm

Mathematics Middle School

a sector with a radius of 15 cm has a central angle measure of 8π/5 what is the area of the sector

Answers

Answer 1

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360 × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф

=1/2 × 15² × 8π/5

=1/2 ×225 × 8π/5

=360π cm²

area of the sector = 360π cm²

Related Questions

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.

What is the mean number of minutes spent on the phone?

Answers

Answer: 31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me

Answers

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

2, 3, 5, 9, 17, 22, 31, 39

Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17

Answers

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

16
2+3+5+9+17+22+31+39=128
128/8=16

Washington Middle School sold 500 tickets to the annual musical production for Friday night. If the tickets sold for Friday night were only 40 percent of the total tickets sold, how many total tickets were sold for the production?

Answers

Answer:

200

Step-by-step explanation:

500x.4

Answer:

1,250 tickets

Step-by-step explanation:

Jake, Becky, and Max are meeting at Charley's Pizza for dinner and then plan to go to a movie. When they arrive at the pizza place, each one of them has a different coupon. They decide to use the coupon that will give them the best deal. Jake's coupon is $19.99 for a pizza and pasta meal deal; Becky's coupon is for two large one-topping pizzas--each at of the menu price; and Max's coupon is for three medium one-topping pizzas -- each at off the menu price. According to the menu, a medium one-topping pizza is $8.99, and a large one-topping pizza is $14.89. They also spend $1.25 each for sodas and $5.00 on the tip. At the movie theater, Max has a coupon that's good for off a third movie ticket when you purchase two other movie tickets at the regular price. The regular price of each movie ticket is $9.80.

Although Jake, Becky, and Max plan to split the cost of the pizza and movie, they decide that with the coupons, it's just easier if one of them pays at each place. So, the friends agree that Jake will pay for the pizza and Becky will pay for the movies. At the end of the night, they'll figure out how much Max owes both Jake and Becky.

If Jake gives the server $30 at the pizza place, he should receive back ______
$1.50 in change (after leaving the tip).
A: More than
B: less than
C: Exactly

Answers

Answer:

I think it's "C" but i may be wrong

Step-by-step explanation:

Answer: 87% sure its C hopes this helped!!

Step-by-step explanation:

Question is Image included

Answers

Answer:

Step-by-step explanation:

a is correct

The answer for this question is A.

help me pls, i need correct answers

Answers

Answer:2.16

Step-by-step explanation:

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x ?

plz help. I am confusion.

Answers

Answer:

Answer

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

The answer is 16
You just have to do 48 divided by 3 to get the constant of proportionality, it is like finding unit rate

Please help me I'm stressed and this is due tomorrow...:((

Answers

Answer:

Step-by-step explanation:

The line starts at 24 and ends with 34. The box starts at 25 and 32. The line in the middle shows 31.

option A since the line in the middle is at 31 and it starts at 24 and ends at 34

Figure Q has undergone a dilation
Which scale factor was used for the dilation?
A. 1/2

B. 3

C. 1/3

D. 2

Answers

Answer: 2

Step-by-step explanation: the figure has increased by 2 by x and y

What is Dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

An example of dilation math is a square of side 5 units can be dilated to a square of side 15 units, but the shape of the square remains the same.

Dimensions of Object Q are as follows:

(3 1/3,1)

(3 1/3,2)

(1,1)

(1,2)

Dimensions of Object Q’ are as follows:

(6 2/3,2)

(6 2/3,4)

(2,2)

(2,4)

Dimensions of Object Q to Object Q’ are as follows:

(3 1/3,1) ⇒ (6 2/3,2)

(3 1/3,2) ⇒ (6 2/3,4)

(1,1) ⇒ (2,2)

(1,2) ⇒ (2,4)

Let’s consider each vertex one by one.

The x-coordinate 3 1/3 changed to 6 2/3 and the y-coordinate 1 changed to 2. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 3 1/3 changed to 6 2/3 and the y-coordinate 2 changed to 4. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 1 changed to 2 and the y-coordinate 1 changed to 2. This shows that both the coordinates of Q’ became twice the coordinates of Q.The x-coordinate 1 changed to 2 and the y-coordinate 2 changed to 4. This shows that both the coordinates of Q’ became twice the coordinates of Q.

Therefore, the scale factor in this dilation is 2.

So, the correct option is Option (D) 2

Learn more about Dilation here

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Mark BRAINLIEST

Evaluate (2 - 3)4(4) - 9 ÷ 3.
-7
-2
1
2

Answers

Answer:

its -7

Step-by-step explanation:

becuz

Answer:

i got -19

Step-by-step explanation:

(PLS HELP)
Choices:
A. 120cm
B. 117cm
C. 101cm
D. 350cm

Answers

Answer:

117

Step-by-step explanation:

13*9=117

Answer:

117 cm

Step-by-step explanation:

First, you find the area of the triangle in the triangular prism itself. The area of the base is already given, which is 13 cm^2. Then, you multiply it by the height.

v = bh
v = 13 * 9
v = 117 cm^2

what is the area of this face?

Answers

Answer:

38 in

Step-by-step explanation:

its hard to explain but ik im right ;-;

The answering 38 have a good day!!

The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.

Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.

Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24

Answers

Both the interquartile range (IQR) and the range indicate that Bus 18 is the more consistent option. Its IQR of 16 and range of 16 are both smaller than the corresponding values for Bus 47, implying that the travel times of the students on Bus 18 are more consistent and have less variability.

To determine which bus is the most consistent, we can compare the measures of variability provided for each bus, namely the interquartile range (IQR) and the range.

The IQR is a measure of spread that represents the range of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3) of a dataset. The IQR provides information about the spread of the central portion of the data, ignoring outliers.

Looking at the given information:

For Bus 18:

IQR = 16

For Bus 47:

IQR = 24

Comparing the IQRs, we can conclude that Bus 47 has a larger IQR of 24, while Bus 18 has a smaller IQR of 16. A larger IQR indicates a greater spread or variability in the data, suggesting that the travel times of the students on Bus 47 vary more widely than those on Bus 18. Therefore, Bus 18 is more consistent or has less variability in travel times based on the IQR.

Additionally, we can also consider the range, which is the difference between the maximum and minimum values in a dataset. The range provides a measure of the total spread of the data, including the extreme values.

For Bus 18:

Range = 16

For Bus 47:

Range = 24

Comparing the ranges, we see that Bus 47 has a larger range of 24, while Bus 18 has a smaller range of 16. Similar to the IQR, a larger range indicates a wider spread or variability in the data, whereas a smaller range suggests less variability. Therefore, based on the range as well, Bus 18 is more consistent or has less variability in travel times compared to Bus 47.

In summary, both the interquartile range (IQR) and the range indicate that Bus 18 is the more consistent option. Its IQR of 16 and range of 16 are both smaller than the corresponding values for Bus 47, implying that the travel times of the students on Bus 18 are more consistent and have less variability.

for such more question on range

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It’s correct! I tried it!

Evan's science class placed some metal balls on a scale. They used a red ball that weighed 5/13 of a pound, a yellow ball that weighed 10/17 of a pound, a green ball that weighed 5/13 of a pound, a blue ball that weighed 4/13 of a pound, and a gray ball that weighed 6/17 of a pound. What was the total weight of the metal balls?

Answers

Answer:

2 4/221 = 2.018

Step-by-step explanation:

5/13+10/17+5/13+4/13+6/17 = 2 4/221 = 2.018

Brainly plz help only three questions and don't answer for point kinda rude

Answers

Answer:

look down

Step-by-step explanation:

(8) no because 3.5*6.5=22.75 and that is over 20 square feet

(9) 34-19-7 * 17/2 = 17*17/2=144.5cm^2

(10) 4*6/2=12 so 1 can but if we are talking technical here it is 3/25

The questions are a bit broad so these might be incorrect

Please do 4 - 7!!! tysm!

Answers

Answer:

-3

Step-by-step explanation:

So basically, 7 is bigger than 4, but 4 is at the beginning. When the beginning number is smaller than the number you are going to subtract it by, then your answer will be negative. To figure this out, you will subtract the 7 by the 4 and add a negative sign to show that it is negative.

Answer:

4. 23/30

5. 3/7

6. 8/15

7. 2

Step-by-step explanation:

PLZZ HELP THIS DUE TODAY AND I STRESSING OUT PLEASE SOMEONE HELP PLZ DON'T SPAM PLZ THS DUE RIGHT NOW PLZZ!!!
1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.

2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?

3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.

4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water.

Answers

Answer:6

Step-by-step explanation:

you need to subtract

Answer:6

Step-by-step explanation:

you need to subtract

Please help ASAP! I attached a screenshot.

Answers

Answer:

answer:A,C

Step-by-step explanation:

Name all the sets of which the given set is a subset
A. the set of a whole numbers
B. the set of positive integers
C. The set of negative rational numbers
D. the set of natural numbers

Answers

Answer:

Step-by-step explanation:

a sub set contain whole numbers

The sets of which the given set is a subset is the set of natural numbers.

It is required to find the real number.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

We know that N⊂Z where N represents set of natural numbers and Z represents set of all positive and negative integers.

Since N⊂Z,

Since Z represents set of all positive and negative integers.

Therefore, the sets of which the given set is a subset is the set of natural numbers.

Learn more details about real number here:

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A basket contains 19 apples. There are 9 yellow apples. There are 2 fewer red apples than yellow apples. There are 3 times as many yellow apples as green apples. How many red apples are in the basket? How many green apples are in the basket

Answers

3 green apples and 7 red apples

Answer:

3 green apples

Step-by-step explanation:

3 x 3 = 9 "3 times as many yellow as green apples"

3 green + 7 red + 9 yellow

Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 234 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
40 rounds per hour
B.
39 rounds per hour
C.
38 rounds per hour
D.
41 rounds per hour

Answers

Answer:

38 rounds per hour

Step-by-step explanation:

Answer:

I think the answer is b. 36

whats the area of this paralellogram?

Answers

Answer: The area of the paralellogram is $55 ft^{2}$We know that area of paralellogram is:Area = Base x Height So, according to this question we have givenBase = $11ft$Height = $5ft$Putting the values in the formula:Area = $11ft$ × $5ft$Area = $55ft^{2$Therefore, Area of this paralellogram is $55ft^{2}$Know more about Paralellogram,https://brainly.com/question/970600

Each month, Margie's pets need 3 bags of dog food and 2 bags of cat food. How many bags of pet food would she need for 4 months?Which equation shows how to solve this problem?

Answers

Answer:

20 bags; 3 x 4 + 2 x 4 = y bags of pet food

Step-by-step explanation:

4 x 2 = 8 bags of cat food

4 x 3 = 12 bags of dog food

12 + 8 = 20 bags in total

So, we now know how many bags of pet food Margie needs for 4 months. To write an equation based on this, we need to include how many times Margie would buy each type of pet food. Which, in this case, would be 4 months. So, 4 months times 2 bags of cat food equals 8 bags of cat food, and 4 months times 3 bags of dog food equals 12 bags of dog food. This all together equals y amount of bags for pet food. In conclusion, 3 x 4 + 2 x 4 = y bags of pet food.

Answer:

20 bags of pet food in 4 months

Step-by-step explanation:

3*4=12

2*4=8

8+12=20

Dog food: Multiply 3 by 4 since 4 months which equals 12.

Cat food: Next multiply 2 by 4 since 2 bags in a month which equals 8

Finally add 8 and 12 and you will get 20 bags of pet food in 4 months.

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

function expressed by formula y=-0.5x is there a value of x for which y=-150 if there is such value then solve it

Answers

Answer:

3000

Step-by-step explanation:

y=-.05x

y=-150

x*.05=150

150/.05=3000

Answer:

3000

Step-by-step explanation:

14-15 Estimate the value of Y when x= 19
20-21 how well does each model fit in dataset
22.Word problem
23word problem
16-19. Describe the type of correlation indicated by each correlation coefficient.

Answers

Answer:

Step-by-step explanation:

Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?

Answers

Answer:

Step-by-step explanation:

form. Meaning you need make both fractions improper

Make sure each number is turned improper.

*PLEASE help* *no explanation = report* *spam = report*
Youssef has $40 in his piggy bank and he spends $2 a day on a soft pretzel at lunch. Tiernan is selling his lunch each day at school to save up for an electric skateboard. After 3 days, he has a total of $22 and after 6 days he has a total of $34. In how many days will the two have the same amount of money?

Answers

Answer: 5 days

Explanation:
Tiernan
10 + 4d
10 + 4(5) = 30

Youssef
40 - 2d
40-2(3) = 34
40-2(4)= 32
40-2(5) = 30

They two shall have the same amount of $30 after 5 days

[Consider "d" is number of days, "y" is total amount]

For Youssef:

Starting amount = $40Spending amount = $2

1) Equation created: y = 40 - 2d ____ eq(1)

For Tiernan:

3 days = $226 days = $34

Unit rate: (change in amount)/(change in day) = (34 -22)/(6-3) = $4

2) Equation created:

y - 22 = 4(d - 3)y = 4d - 12 + 22y = 4d + 10 ____eq(2)

For them to have same amount, solve simultaneously:

4d + 10 = 40 - 2d4d + 2d = 40 - 106d = 30d = 30/6 = 5 days

Amount after 5 days: 4(5) + 10 = $30

2(3) I NEEEEED HELPLPLPLPLP

Answers

Answer:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(3) can also be written as 2 x 3 which equals 6

2(3) means you are adding 2, 3 times.

2 + 2 +2 = 6

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