A gazebo is located in the center of a large, circular lawn with a diameter of 200 feet. Straight paths extend from the gazebo to a sidewalk around the lawn. If two of the paths form a 75° angle, how far would you have to travel around the sidewalk to get from one path to the other? Round your answer to the nearest foot if necessary.
a. 183 ft
b. 262 ft
c. 131 ft
d. 3,125 ft​

Answers

Answer 1

Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

Hope it helps you !!

~Adrianna


Related Questions

Please help!!!!!!!
Anyone help!

Answers

x=7

Step-by-step explanation:

median is the middle no.=6 and x

it will be 6+x=13

take 6 to the other side=7, hence x=7

At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?

Answers

Answer:

-15

Step-by-step explanation:

Maria lines up fabric squares in rows to make a quilt. She uses the same repeating pattern for all the rows. The rule is "Red, White, Blue, White, Floral." If there are 125 quilt squares in the quilt, how many floral quilt squares will Maria need? Enter your answer in the box.

Answers

Answer: 15

Step-by-step explanation:

the patern is

red

white

blue

white

floral.

So in each group of 5, we have one floral quilt square.

now, in 125 quilt squares, we want to find the number of groups of 5 that we can make with thos 125 quilt squares.

This is 125/5 = 15

So we have 15 groups of 5 quilt square.

And we know that in each of those groups, we have one floral quilt square.

So we have a total of 15*1 = 15 floral quilt squars.

Answer: 25

Step-by-step explanation: 125 quilt square in group of 5

125/5 = 25

Each group of 5 os 1 floral quilt so there are 25 floral quilts in total

how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?

Answers

I dont want to give you the exact equation so u wont be copying- here is an example.

let x=grams of salt that you already have

let y=grams of salt that need to be added

let z=total amount of salt in the solution after adding salt

We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:

x=.25*400g

x=100g

Therefore, there are 100 grams of salt already in the solution.

Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:

z=100g+y

The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:

400g+y=total amount of solution after adding salt.

This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.

Therefore, the second way to express z is below:

z=.40*(400g+y)

After we have two equations for z, we can set them equal to each other as follows:

100g+y=.40*(400g+y)

We then can distribute the .40 over the parenthesis.

100g+y=160g+.40y

And then we can subtract 100 grams from both sides of the equation.

y=60g+.40y

Next, we subtract .40 y from both sides of the equation to get y on one side.

.6y=60g

Finally, we can divide both sides by .6 to isolate y.

y=100g

Therefore, you must add 100g of salt to the solution to make it 40 percent salt.

DID I DO IT RIGHTT?? pls tell me

Paula invited some friends to dinner and she plans to make fajitas at the grocery store she spent $2.56 on red bell peppers and $1.92 on green bell pepper if both types of bell peppers cost $1.60 per pound how many total pounds of bell pepper does she buy

Answers

Answer: 2.8

Step-by-step explanation:

Given Data:

Money spent by Paula for red bell peppers = $2.56

Money spent by Paula on green bell peppers = $1.92

Both pepper cost = $1.60/ pound

Therefore:

Total pounds of bell peppers bought by Paula

= cost of green bell pepper + red red bell pepper / price/pound

= $2.56 + $1.92 / $1.60

= $4.48 / $1.60

= 2.8 pounds

Paula bought 2.8pounds of pepper

Answer:

2.8

Step-by-step explanation:

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

2, 18, 56.52, It will double as well.

Step-by-step explanation:

First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.

If the diameter is doubled what happens to the circumference? Explain.

It will double because its like a second layer is added on,  and 56.52 x 2 = 113.04, which would be the doubled circumference.

Hope this helps! :)

solve |-4|/|-4| please help

Answers

Answer:

i think the answer is 1 dont take my word for it though

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1

A dvd movie originally cost $24.99. It’s current price is $19.99. What is the percent of change rounded to the nearest percent?

Answers

Answer:

I think it would be 20%.

Step-by-step explanation:

$5 was taken off the original price, which is about 1/5 of $24.99. So, since 1/5 as a percent is 20%, I think the answer would be 20%.

I agree it would be 20%

True or False: Sine is the ratio of opposite side to adjacent side in a right triangle? *

Answers

Answer:

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos. Finally, the ratio of the opposite side to the adjacent side is called the tangent and given the symbol tan.

6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119

Answers

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.

Based on the data, which of the following statements must be true?

(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.

(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.

(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

(Choice D)
More people without internet access prefer using social networking than people with internet access.

Answers

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."

What is internet speed?

It is Mbps or kbps of data packets that can be transferred within a specified time.

Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.

Learn more about internet speed,

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Solve the 3x3 system shown below. Enter the values of x, y, and z.

x+2y-x=-3

2x-y+z=5

x-y+z=4

Answers

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

-x +y  -z = - 4

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

-2x +y -z = -5

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

   3y  -2z= -7

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

Answer: x=1 y=-1 z=2

Step-by-step explanation:

secant zv interscts secant zw at point z find the length of tw

Answers

Answer:

MN ;K ;K ;K ;K

Step-by-step explanation:

A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?

Answers

Answer:

The final cost of bike = $535.00

Step-by-step explanation:

Cost of bikes =  $500.00

If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;

7% of $500.00

= [tex]\frac{7}{100} * 500\\[/tex]

= $35

The final cost of bike = initial selling price + amount paid as tax

The final cost of bike  = $500.00 + $35.00

The final cost of bike = $535.00

what is 2x+3=x+15 100 points i don't want points

Answers

anewr

you could caluta

Step-by-step explanation:

Answer:

X = 12

Step-by-step explanation:

2x + 3 = x + 15

2x + 3 = x = -3

-3 + 15 = 12

So X = 12

Hope I helped!

Have a good day. =)

I am not sure if this is right can someone check it ASAP please

Answers

Answer:

x=10

Step-by-step explanation:

3(4x-12) = 84

Divide each side by 3

3/3(4x-12) = 84/3

4x-12 =28

Add 12 to each side

4x-12+12 = 28+12

4x= 40

Divide each side by 4

4x/4 = 40/4

x = 10

2x-y<5
[tex]2x - y \leqslant 5[/tex]

Answers

Answer:

Step-by-step explanation:

Please be sure to include the directions when you post a question.  I will assume you want to graph this inequality 2x - y ≤ 5.  

2x - y = 5 is a linear function whose graph is that of a straight line.  Because of the ≤ sign, the solution set includes all points on this straight line PLUS all  points below it.

x - intercept:  Set y = 0 in 2x - y = 5 and solve the resulting equation for x:

2x - 0 = 5.  Then x = 5/2, and the x-intercept is (5/2, 0).

y-intercept:  Set x = 0 and solve for y:  2(0) - y = 5:  y = -5.  Then the y-intercept is (0, -5).  

Plot both points (5/2, 0) and (0, -5).  Draw a solid line through them.  Shade the area BELOW this line.

The equation for the pH of a substance is pH = -log[H+), where H+ is the concentration of hydrogen ions.
What is the approximate pH of a solution if the concentration of hydrogen ions is 5.0 x 104 moles per
liter?
2.7
3.0
3.3
3.6

Answers

Answer:

3.3 :)

Step-by-step explanation:

Answer:

3.3

Step-by-step explanation:

edge 2021

Which expression is equivalent to 2(5 − 3x)?

Answers

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

I think the answer is C.

First start by factoring, you should get (2n-3)(n-2)=0

Then start to solve for n.

2n-3=0

n-2=0

n=2, n= 3/2

I hope that helps.

Which are ways to decompose the composite figure into simpler shapes that you have area formulas for? Check all that apply.

Answers

Answer:

1st  and second, unless you have already learned area of trapezoids. If you have, add third

Step-by-step explanation:

Answer: this is ez its

first

second

third

Step-by-step explanation:

Electronics unlimited sells tvs. There are 110 tvs on display in the showroom, and each tv is turned on to a random channel from a set of 11 channels, 7 sport channels, 3 news channels, and one movie channel. Which statement best predicts how many tvs will not be showing a sports channel?

Answers

it would be 4/11 chance bc if you you think about it, it would 7/11 of it being a sports channel which remains 4/11 of it being any of the other

Answer:

b

Step-by-step explanation:

khan

find the degree of the monomial x^2 z^3

Answers

Answer:

5

Step-by-step explanation:

Degree of monomial = 2 + 3 = 5

Monica put 1 L, 2 centiliters, and 7 milliliters of water into a bowl. how many milliliters of water did she put in the bowl?

Answers

Answer:

1,027 milliliters

Step-by-step explanation:

1 liter is 1,000 milliliters

2 centiliters is 20 milliliters

7 milliliters stays the same

Adding up the new numbers gives you

1,000+20+7

what’s the answer for this question

Answers

Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

Hi there! I need some help with this question, thx!


In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."

Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60

Which statement is true?


A. Every term in Pattern B is 3 times the corresponding term in Pattern A.

B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.

C. Every term in Pattern B is 5 times the corresponding term in Pattern A.

D. Every term in Pattern B is 13 the corresponding term in Pattern A.

Answers

Answer:

sky im going with A

Step-by-step explanation:

A I took the test it is correct

factorise x+y

-ax-ay​

Answers

Answer:

Step-by-step explanation:

x+y-ax-ay

by grouping the like terms,

x-ax+y-ay

since x and y are common in all the terms,

=x(1-a) + y(1-a)

= (1-a) ( x+y)

hope this helps

plz mark it as brainliest!!!!!!!!!

The factorized expressions of (x + y)² is

x² + y² + 2xy

The factorized expressions of (-ax - ay)² is

a²x² + ay² + 2a²xy

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Using middle-term factorization.

1)

(x + y)²

x² + y² + 2xy

2)

(-ax - ay)²

(-ax)² + (-ay)² + 2 x (-ax)(-ay)

a²x² + ay² + 2a²xy

Thus,

The factorized expressions are:

x² + y² + 2xy

a²x² + ay² + 2a²xy

Learn more about expressions here:

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The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.

A. sine
B. secant
C. cosine
D. cosecant

Answers

Answer:

cosine I think

Step-by-step explanation:

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.

The sine is given as the side opposite to the angle is known as perpendicular.

The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Eduardo is filling containers with water to make lemonade. He filled 4 containers in 29 minutes, and each container holds 8.7 gallons. At what rate did Eduardo fill the containers?

Answers

Answer: 7.25 minutes per container.

Step-by-step explanation:

Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.

Which of the following are whole numbers ?

Answers

Answer:

-1 and 3 should be right

Answer:

3

Step-by-step explanation:

Whole numbers are non-negative integers

A whole number can be 0 or positive with decimal/fraction part

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