Find the length of the arc
A.8 pie ft
B.32 pie ft
C.64 pie ft
D. 361 pie/ 12 ft

Find The Length Of The ArcA.8 Pie FtB.32 Pie FtC.64 Pie FtD. 361 Pie/ 12 Ft

Answers

Answer 1
Answer: Choice A. 8pi  feet

======================================================

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

Answer 2

The length of the arc is exactly 8π feet long.

To find the length of the arc.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.

Given that:

Ф=90°

r=16 feet

The perimeter around the circle is known as the circumference.

The circumference of a circle with radius r is

C = 2*π*r

C = 2*π*16

C = 2*16*π

C = 32π

But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.

=(1/4)*32π

= (1/4*32)π

= 8π

Therefore, the length of the arc is exactly 8π feet long.

Learn more about circle here:

https://brainly.com/question/17377122

#SPJ5


Related Questions

Find the distance between the points (-16,10) and (2,-14)

Answers

Answer:  The distance is 30

Step-by-step explanation:

To find the distance between the two points,find the difference between the x and y values, square them and add them to find their square root.

10 - (-14) = 24

-16 - 2=   -18

24^2 + 18^2 = d^2  where d is the distance

576 + 324 = d^2  

900 =d^2

d = [tex]\sqrt{900}[/tex]

d= 30

Answer:

d=30

Step-by-step explanation:

distance between 2 points: d

d=√(x2-x1)²+(y2-y1)²     (-16,10) and (2,-14)

d=√(2-(-16)²+(-14-10)²

d=√18²+(-24)²

d=√324+576

d=√900

d=30

what is 5 divided by 38

Answers

5 goes into 38 7 times equally, the answer is 7.6

Here is a list of numbers:
9, 3, 15, 19, 4, 2, 18,8,13
State the median.

Answers

Median is the middle number in a sorted list of numbers so in your question the number in the middle is 4 so the median is 4.

Rodney rented a machine for $70.00 to make popcorn at a school event. In addition to the machine rental cost, the popcorn supplies cost him $0.15 per bag sold. Rodney sold the popcorn for $1.00 per bag. How much profit did Rodney make if he sold 200 bags of popcorn?

Answers

Answer:

100$

Step-by-step explanation:

he profit from 1 popcorn=0.85$

from 200=170$

170$-70$=100

Answer: 100 dollars

Step-by-step explanation:

In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now? In 3 years, Dianna will be 4 times as old as she was 33 years ago. How old is Dianna now?

Answers

Answer:

x = 45

45 years old

Step-by-step explanation:

x + 3 = 4(x - 33)

x + 3 = 4x - 132

x - 4x = - 132 - 3

-3x = -135

x = -135/-3

x = 45

A catering business charges $50 to cater a meal for an event. The business also charges $12.50 per person for dinners that include chicken and $14.00 per person for dinners that include beef. Determine the charge for catering a dinner if 12 people request chicken and 8 request beef.

Answers

Answer: 312

Step-by-step explanation:

First you start with 50 dollar

then multiply 12.50 by 12

then multiply 14.00 by 8

last add everying thing up; 50+150+112

and you get 312 dollars

aka: $312.00

Larry pours 11 gallons of water equally into 4 containers. Which equation shows how to find how many gallons of water there are in each container? A. B. C. D.

Answers

Answer:

2 3/4 gallons in each container

Step-by-step explanation:

Gallons of water = 11

Containers = 4

Larry pours 11 gallons of water equally into 4 containers

Gallons of water in each container = Total gallons of water / number of containers

= 11 / 4

= 2 3/4

There are 2 3/4 gallons of water in each containers

The equation is

Gallons of water in each container = Total gallons of water / number of containers

It takes 2 gallons of milk to make a batch of ice cream. How many gallons of milk does it take to make 15.2 batches of ice cream?

Answers

Answer:

30.4

Step-by-step explanation:

2 times 15.2

what is the algebraic expression of three fourths the square of b

Answers

Answer: 3x-x+2=4

Step-by-step explanation:

Nick and Pam are paid $38.25 for their work network one hour and five minutes and Pam work three hours they split the money according to the amount of time each of them worth how much is make sure of the money explain

Answers

Answer:

Nick get = $10

Pam get = $28.25

Step-by-step explanation:

Given:

Total amount paid = $38.25

Nick work = 1 hour 5 minutes = 1.0833 hr

Pam work = 3 hour

Find:

Amount they get

Computation:

Assume each get x in 1 hour

So,

3x + 1.0833x = 38.25

4.0833x = 38.25

x = 9.3674

Nick get = 1.0833(9.3674) = 10.14 = $10

Pam get = $38.25 - $10 = $28.25

Please help and show your work TwT

Answers

Answer:

Step-by-step explanation:

First we solve 5(x + 2) ≥ 2(x + 8).

5x + 10 ≥ 2x + 16

3x ≥ 6

x ≥ 2.

Now we place an equal sign into the box:

4(x - 6) = 2(x - 10)

4x - 24 = 2x - 20

2x = 4

x = 2.

For the solution to only have 1 value, the solution must be x = 2.

Therefore we must have x ≥ 2 and x ≤ 2.

If you go on a road trip of 270 miles in the mountains and 7/ 10 of the trip is downhill, how many miles of the trip are not downhill? Reduce to the lowest terms.

Answers

Answer:

81 miles

Step-by-step explanation:

From the question 7/10 of the trip has been said to be downhill. It therefore means that 3/10 is not downhill.

Miles = 270

Downhill = 7/10

Not downhill = 3/10

Now we have To calculate Miles that are not downhill (uphill)

But first I calculated for the number of downhill miles

270x7/10

Downhill = 189 miles

To get the number of not downhill miles

I subtracted 189 from the total number of miles on the question.

270 - 189

= 81 Miles.

Therefore 81 Miles of the trip are not downhill.

If you have anymore questions or need clarity please let me know on the comment section. Thank you and Good luck!

270 miles
7/10 downhill

270 x 3/10
810/10
81 miles
Or
270 x 7/10
1890/10
189 miles downhill

270 - 189 = 81 miles



If the area of a triangle is 28in2 and the height is 8 inches, determine the length of the base.

Answers

area of triangle formula = ½ × B × H

28in2 = ½ × B × (8)

28in2 = 4 × B

28 ÷ 4 = B

Therefore, length of base = 7 inches

i hope my solution helps :))

How do you find the domain and range of a function and write it in set notation? What is the process of finding it? Tips and tricks are very much appreciated. I literally have no clue how to get them. Send help?

Answers

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Step-by-step explanation:

plz forgive me if my answer is wrong

Domain = looking for the very far left value and the very far right value on the x-axis, and only x-axis, so the farthest left x-axis value and the farthest right x-axis value.

Range = very bottom y-value, and very top y-value

In both cases, if the arrows extend forever then that means you could have the value of infinity.

This is true of false??​

Answers

Answer:

It's TRUE!

CLOSURE PROPERTY IS USED !

4) A scuba diver swam 112 feet beneath the surface of
the ocean. He then climbs up 63 feet. What is his depth
now?

Answers

Answer:

-49

Step-by-step explanation:

0-112+63=x

-112+63=x

-49=x

Answer:

-49 aka 49 feet below the surface/

Step-by-step explanation:

112-63=49 but make it negitave.

Increasing a number by 14 yields the same result as taking one-half of 40.

Answers

Answer:

6

Step-by-step explanation:

6+14=20

40/2+20

PLEASE OPEN THIS, I NEED HELP!!!! WHAT BELONGS IN THE ? AND WHY?

Answers

Answer:  see below

Step-by-step explanation:

Write each equation in y = mx + b format where m is the slope and b is the y-intercept.

Left side: -4 ≤ x < -1

If you continue the line through the y-axis it will pass through (0, 4) --> b = 4

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (4)   -->    y = -x + 4

Right side: -1 < x < 4

The line passes through (0,0) --> b = 0.

The rise over run is -1 over 1 --> m = -1

y = (-1)x + (0)    -->    y = -x

[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x+4&;-4\leq x<-1\\ -x&;-1<x<4 \end{array}}[/tex]

Please help me out please!!!!!!

Answers

Answer:

  you're nearly there

x/4, x/44x, 4x

Step-by-step explanation:

You have obviously determined the correct entry in the top box of each pair. What you seem to have failed to observe is that the bottom box in each pair needs exactly the same entry as the top box.

_____

You figure this out by looking at the stuff that is outside the box. The numbers and symbols for the second box show how the function indicated outside the first box is evaluated. That is f(x) at the top becomes 4x at the bottom, where x (in this case) is x/4 for both.

−2, −1, 0, 1 Which pair of numbers has a sum of zero? A . 1, −1 B. −2, 0 C.−2, 1 D.−1, 0

Answers

it would be A because 1 - 1 = 0

Answer:

The correct answer i would think would be A. 1 + -1= 0

Step-by-step explanation:

You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarters is 8 more than the number of dimes. Is your friend correct? Let d represent the number of dimes

An equation that models this situation is _____=2.80
(I’m so stupid help)

Answers

Answer:

Step-by-step explanation:

d = number of dimes

2.80 = 0.1d + 0.25 (d + 8 )

2.80 = 0.1d + 0.25d + 2            Combine like terms

2.80 = 0.35d + 2                       Subtract 2 from both sides

0.80 = 0.35d                             Divide both sides by 0.35

d ≈ 2.29

No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.

Lucas is having posters made for a school event. The setup fee for producing the posters is $18, and each poster he has made costs an additional $1.50. If the total cost of Lucas's posters is $42, how many posters did he have made?

Answers

he had 16 posters made.
18+1.50x=42
x=16
42- 18= 24
24/1.5=16.

He made 16 posters.

Perform the indicated operation.

Answers

Answer:

-22

Step-by-step explanation:

-18 - 4 =

We are subtracting both number so add them and then give them a negative sign

-( 18+4)

-22

Answer:

-22

Step-by-step explanation:

Sasha's soccer team, the Strykers, tracked the number of goals they scored over the first 7 games of the season below. 3, 7, 3, 0, 5, 8, 2 What is the mean number of goals the Strykers scored each game?

Answers

Given :

The number of goals they scored over the first 7 games of the season are :

3, 7, 3, 0, 5, 8, 2 .

To Find :

The mean number of goals the Strikers scored each game .

Solution :

We know , mean of numbers is given by :

[tex]M=\dfrac{\text{Sum of all numbers}}{\text{Total numbers}}\\\\M = \dfrac{3+7+3+0+5+8+2}{7}\\\\M=\dfrac{28}{7}\\\\M=4[/tex]

Therefore , the mean number of goals the Strikers scored each game is 4 .

Hence , this is the required solution .

At a concert 60% of the audience are adults . 25% of those remaining are boys and the rest of the audience members are girls .There are 30 girls altogether. How many a people are the at the concert?

Answers

Answer:

1800 people were at the concert.

Hello there! :D

Its math time!!

Alright, let's write out all the percentages.

60%= adults

25%= boys

There are thirty girls.

We can find out what percentage of the people there are girls by adding the percentages of the adults and boys and subtracting that from 100.

60+25= 85

100-85=15

So, 15% of the audience are girls. That is equal to 30 people.

I also know that 60 is divisible by 15 and 4. So, if we multiply 30 by 4 we can find out how many adults are at the concert.

30*4= 120 adults

We can also take 15 and divide it by 3 (as well as 30)  so we can find out how many people there are for 5% of the concert. That will make it easier to find out how many boys there are.

15/3= 5%

30/3=10

Now we just need to know how many fives go into 25, which is 5.

5*10= 50

Add that to the number of adults and girls:

50+120+30= 200 people

There are 200 people at the concert!

I hope this helped you and you have a wonderful day,

Kai xx

2. Continuous data are usually _____________________, but discrete data are usually ______________________.

Answers

Answer:

Measured and Counted.

Step-by-step explanation:

Continuous data are usually “Measured”, but discrete data are usually “Counted”.

The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.


A recipe needs a ratio of 2.5 of sugar to flour. If Joe uses 60g of sugar, how much flour should he use?

Answers

Answer:24



Explanation for equation:

Answer:

150 g

Step-by-step explanation:

The 2 part of the ratio represents 60 g , thus

60 g ÷ 2 = 30 g ← value of 1 part of the ratio, then

5 parts = 5 × 30 g = 150 g ← amount of flour required

what are the advantage of buying a new vehicle

Answers

Answer:

I don't really understand what this means but the advantage of buying a new vehicle gives you a better car and if its better you can use less gas on it or maybe it goes faster and has more ways to drive it.

Step-by-step explanation:

Please solve this question and show your work! Thank you!

Answers

Answer:

[tex]u<-1\text{ or } u>2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-3|2-4u|+5<-13[/tex]

First, subtract -5 from both sides:

[tex]-3|2-4u|<-18[/tex]

Divide both sides by -3. Since we are dividing by a negative, we will flip the sign:

[tex]|2-4u|>6[/tex]

Definition of absolute value:

[tex]2-4u>6\text{ or } 2-4u<-6[/tex]

Note that we flip the sign on the right because we multiplied 6 by a negative.

On both the left and right, subtract 2:

[tex]-4u>4\text{ or } -4u<-8[/tex]

Divide both equations by -4. Since we're dividing by a negative, flip the signs:

[tex]u<-1\text{ or } u>2[/tex]

So, our final solution is:

[tex]u<-1\text{ or } u>2[/tex]

And we're done!

find the X in the following figure​

Answers

Answer:

x = 135°

Step-by-step explanation:

Sum of interior angles of a pentagon is 540°

x + 80 + 110 + 95 + 120 = 540

--> x = 540 - 80 - 110 - 95 - 120 = 135

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