An equilateral triangle is inscribed in a circle. An apothem is shown. Lines are drawn from each point to the center point to form radii. The angles between the radii are 120 degrees. The angles between the radii and the sides of the triangle are 30 degrees.
An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle.

Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is
units long and the radius of the circle is
units long.

Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or (
π −
StartRoot 3 EndRoot) units2.

Answers

Answer 1

Answer:

6

12

48

36

Step-by-step explanation:

Hope This Helps! :)

Answer 2

Answer: 6, 12, 48, 36

Step-by-step explanation:

An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle.

Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is

✔ 6

units long and the radius of the circle is

✔ 12

units long.

Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or (

✔ 48

π −

✔ 36

StartRoot 3 EndRoot) units2.


Related Questions

on a number line suppose point E has a coordinate of -4, and EG = 13. what are the possible coordinates of point G

Answers

the next to the nearest G of the point

Is the relation y = 3x - 5 a function? Justify the answer.

Answers

Answer:

yes

Step-by-step explanation:

use the vertical line test

2008 = NOOB and 426 = and

Answers

"Hey, Noob is my Line"

- Developer of Robux

Answer:I dont know noobs are noobs

Step-by-step explanation:

it takes joan 5h to paint the porch, while jan can do it in 4h. how long will it tae them working together

Answers

It will take them 2 hours and 22 minutes to working together.

Here,

Joan paint the porch in 5 hours.

Jan can take 4 hours to paint the porch.

We have to find the time to take them working together.

What is Fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Let x is number of hours to take them working together.

Then, 1/x is how much of the porch they can paint together in 1 hour.

Joan paint the porch in 5 hours.

Then, Joan can take 1 hour to paint the 1/5 part of porch.

Jan can take 4 hours to paint the porch.

Then, Jan can take 1 hour to paint the 1/4 part of porch.

To find how much of the porch they can paint together in 1 hour, we can add together;

[tex]\frac{1}{5}+ \frac{1}{4} = \frac{1}{x} \\\\\frac{4+5}{20} = \frac{1}{x} \\\\\frac{9}{20} = \frac{1}{x}\\\\x = 20.22[/tex]

Hence, It will take them 2 hours and 22 minutes to working together.

Learn more about the fraction visit:

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The diagram represents an 11 cm by 6 cm rectangle.
11 cm
6 cm
Calculate the perimeter of the rectangle.

Answers

the perimeter is 34cm

What is 10and 1 half divided by 7 eights​

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10 1/2 / 7/8= 12

HELPPP DUE AT 10:45 ???

Answers

i’m not sure what the first part would be but
KLM ~ FGH

A linear function is graphed on the grid.
What is the rate of change of y with respect to x?

Answers

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{-6}{2}\implies \LARGE \begin{array}{llll} -3 \end{array}[/tex]

Mrs. Juarez is buying cleaning supplies for her company. The first brand, Mr. Clean, is selling 64 wipes for $3.20. Clorox has a deal for 72 wipes at the cost of $4.32. What is the unit price of the better buy?

Answers

Answer:

Mr. Clean has a slightly better buy

Step-by-step explanation:

Mr.Clean
Mr.Clean: 64 wipes divided by $3.20 equals $1 for 20 wipes
Clorox: 72 wipes divided by $4.32 equals $1 for 16.67 wipes

The price of silver has increased by 25% per year from 2000. In the year 2000,Harry bought a silver bowl for $170. Write a function F(x) that can be used to represent the price of the bowl in x years after 2000

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The price of silver has increased by 25% per year from 2000. In the year 2000, Harry bought a silver bowl for $170.

To calculate the price of the silver bowl after x years, we need to use the following formula:

F(x)= PV*(1+g)^x

F(x)= future value

PV= present value

g= growth rate

x= number of years

For example, we determine the value of the coin after 10 years:

F(x)= 170*(1.25^10)

F(x)= $1,583.25

Answer:

F(x)= 170*(1.25^10)

F(x)= $1,583.25

Step-by-step explanation:

Which of the following does not have the same value as the whole number 4?

3 5/5
1/4
4/1
3 4/4

Answers

The correct answer is 4/1

Answer:

B

Step-by-step explanation:

3 5/5 = 4 because 5/5 is equal to 1, and 3+1 = 4.

1/4 is not equal to 4 because it is equal to 0.25

4/1 = 4 because it is an identity

3 4/4 = 4 because 4/4 is equal to 1, and 3+1 = 4

Find the exact length of the third side.
8
6

Answers

Answer:

10

Step-by-step explanation:

The triangle in the pic is a right-angled triangle. And in right-angled triangles , Pythagorean Theorem. So , according to Pythagorean Theorem

[tex]Base^{2} +Perpendicular^{2} =Hypotenuse^{2}[/tex] where 'c' is the hypotenuse and 'a' & 'b' are the other two sides.

Using Pythagorean Theorem ,

[tex]Hypotenuse^{2} = 8^{2} +6^{2} =64+36=100\\=>Hypotenuse = \sqrt{100} =10[/tex]

In the first round of a card game, Niki scored 20 points. Then, she lost 10 points on one turn and an additional 25 points on her final turn. Part A Choose the number line that shows the change in Niki's score.

Answers

Full question :

Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.

a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.

b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.

c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

part b what is niki’s final score? enter your answer in the box. points

Answer:

d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.

Step-by-step explanation:

The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15

To get Niki's final score, we calculate hence

+20-10-25 = -15 points

explain the difference in meaning between |-3| and -3

giving brainliest to whoever answers first

Answers

The absolute value of anything is always positive. Absolute value of a positive number is the number.
And absolute value of a negative number is the correspondence of the number.
So
|-3| = +3

(8.1 + 7.9)x – (25 ÷ 5)x

will give brainliest!

Answers

Answer:

-80

Step-by-step explanation:

( 8.1 + 7.9 ) × ( -25 ÷ 5 )

= 16 × ( -5 )

= -80

don't forget to mark this ans branliest

Answer:

11x is the answer.

Step-by-step explanation:

( 8.1 + 7.9 )x - ( 25 ÷ 5 )x

= 16x - 5x

= 11x

hope this answer will help you.

have a great time

what’s the equation for 8 and 9 i need the answer asap

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

(8)

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)

m = [tex]\frac{2-2}{8+3}[/tex] = [tex]\frac{0}{11}[/tex] = 0

A slope of zero indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus

y = 2 ← equation of line

(9)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)

m = [tex]\frac{2-1}{-3+6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 2) , then

2 = - 1 + c ⇒ c = 2 + 1 = 3

y = [tex]\frac{1}{3}[/tex] x + 3 ← equation of line

PLEASE HELP ASAP! I WILL DO BRAINLIST! Alan has 9 books, Vadim has 12 books. What is the ratio of the number of books they have altogether to the number of books Vadim has?

Answers

Answer:

21:12

Step-by-step explanation:

Answer:

Alan has 9 books

Vadim has 12

12+9=21

The answer is 21:12

Step-by-step explanation:

Please mark brainlist

600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d

Answers

Answer:

easy one

Step-by-step explanation:

first factorise 600 as 2*2*2*3*5*5

then write as 2^3 * 3*5^2= 2^a*b*c^d

equating corresponding elements as a=3

b=1and c= 2 is the answer

The circle graph shows the number of cell phones sold at a local store. The darker shaded portion shows the number of cell phones that were sold with an unlimited data plan. A total of 2,712 cell phones were sold. Using the circle graph, approximately how many cell phones were sold with an unlimited data plan?

Answers

Answer:

1,153

Step-by-step explanation:

Please!!! Help me plzz

Answers

Answer:

i thinks or might be the correct

Answer:

The correct answer is [tex]\frac{or}{and} \\[/tex].

Step-by-step explanation:

Part 1: The sign "<" means "less than." Therefore, "or" makes the most sense because there is only one option if you use this sign:  the number on the left has to be smaller than the number on the right.

Part 2: The sign [tex]\leq[/tex] means "less than or equal to." Therefore, "and" makes the most sense because there are two options if you use this sign: the number on the left can be either smaller than or equal to the number on the right.

Therefore, the correct answer is [tex]\frac{or}{and} \\[/tex].

Hope this helps! :D

Your job is to sort and sack marbles for sale a bag contains 55 marbles some red and some green if there are 11 red marbles what is the ratio of red to green marbles?

Answers

Answer:

1:4

Step-by-step explanation:

There are only two colours available, red and green.  We know that there are 11 red marbles and 55 marbles altogether, so the number of green marbles must be 55 - 11, or 44.  That means that the ratio of red to green marbles is 11:44, or 1:4.

Linda practiced her free throw shots and missed 26% of her shots. If she
shot the ball 50 times, how many times did she miss? *

Answers

Answer:

13

Step-by-step explanation:

Find 26% of 50 by doing

.26 * 50

resulting in 13

The ratio of boys to girls in Mr. Johnson’s class is 3:5. If there are 32 students in his class, how many of these students are girls? Write equation and solve.

Answers

Answer:

12:20

Step-by-step explanation:

3 : 5 = 3x : 5x = 32

3x + 5x = 8x = 32

x = 32/8 = 4

3x = 3x4 = 12

5x = 5x4 = 20

so there are 12 boys and 20 girls

There are 20 girls in the class.
There are 12 boys in the class.
32/8 = 4
3 x 4 = 12
5 x 4 = 20
12 + 20 = 32

rofit stefon charges people $25 to test the air quality in their homes. the device he uses to test air quality cost him $500. the function y

Answers

The function to determine the gross cost he earns to test the air quality in their homes can be given by Y=500+25X.

What is a function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.A function consists of three components: a collection of inputs, a collection of outputs, and a constraint that links the components of the input set to the members of the output set so that each entry is paired with exactly one output.

The function to determine the gross cost he earns to test the air quality in their homes can be given by,

Y=500+25X

where X is the no. of homes he tested and y is the gross cost.

Learn more about function here:

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a added to 25 equals 172

Answers

Answer:

147+25=172

Step-by-step explanation:

Have a nice day!

Brainliest me pls

Answer:

A = 147

Step-by-step explanation:

A + 25 = 172

subtract 25 from both sides

A + 25 - 25 = 172 - 25

A = 147

Help plz i need it before 10:30 i! ​

Answers

Answer:

G. 4n-5< -21

Step-by-step explanation:

because....I'm smart

How do i multiply and divide fractions? Please explain each( multiply first and then divide)

Answers

Answer:

Multiply=times top then bottom. 1/2*1/3=1*1/2*3=1/6

Divide Fractions=take reciprocal then multiply. 1/2=1/3=1/2*3/1=3/2

Step-by-step explanation:

Not needed

Please help fast! Comment only if you know it’s multiple-choice QUESTION 13 ILL GIVE EXTRA POINTS

Answers

Answer: D) 26.1

Step-by-step explanation:

5 +-8f+ -2f + -1 + -8

Answers

Answer:

= −10f − 4

Step-by-step explanation:

A tile pattern has 5 tiles in figure 0 and adds 7 tiles in each figure, write a linear equation that represents this pattern

Answers

Answer:

The equation is:

y = 7x + 5

Step-by-step explanation:

Given

Figure 0 = 5 tiles

Figure 1 = 5+7 = 12 tiles

Given that it adds 7 titles in each figure. Thus, the rate of change = 7 tiles

Thus, the equation is:

y = 7x + 5

Here

7 is the rate change or slope of the equation.

VERIFICATION:

setting x = 0 to determine the tiles in figure 0

y = 7x + 5

y = 7(0) + 5

y = 5

Thus, the figure 0 has 5 tiles

setting x = 1 to determine the tiles in figure 1

y = 7x + 5

y = 7(1) + 5

y = 7 + 5

y = 12

Thus, the figure 0 has 12 tiles    (5 plus 7 added)

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