One of the tokens for a board game is a circle containing 5 congruent triangles, as modeled below.


Which measurement is closest to the area in square centimeters of the token not covered by the triangles?

25.76 cm2

2.5 cim2

110.6 cm2

28.27 cm2

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The solution is Option A.

The area of the token not covered by the triangles is 25.76 cm²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

Given data ,

Let the area of the token not covered by triangles be A

Let the area of the triangle be T

Now , the height of the triangle h = 1 cm

The base of the triangle b = 1 cm

The area of the triangle = 1/2 x l x b

Substituting the values in the equation , we get

Area of the triangle T = 1/2 cm²

The number of triangles = 5

The area of 5 triangles = 5 x Area of the triangle

The area of 5 triangles = 5/2 cm²

The area of 5 triangles = 2.5 cm²

Now , the radius of the circle r = 3 cm

The area of the circle = πr²

Substituting the values in the equation , we get

Area of the circle = 3.14 x 3 x 3

Area of the circle = 28.26 cm²

Now , the area of the token not covered by triangles
A = Area of the circle - area of 5 triangles

Substituting the values in the equation , we get

The area of the token not covered by triangles A = 28.26 - 2.5

The area of the token not covered by triangles A = 25.76 cm²

Therefore , the value of A is 25.76 cm²

Hence , the area of the token without triangles is 25.76 cm²

To learn more about triangles click :

https://brainly.com/question/16739377

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Related Questions

pls answer this i just do not get it

Answers

$1.50

Here’s the steps/explanation:
25%=0.25
0.25*2=0.50
$2 - $0.50 = $1.50

Or
1 - 0.25 = 0.75
0.75*2 = $1.50
The answer is 1.50 dollars

Find the median of the data set represented in the following stem-and-leaf plot.

62
67
63
64

Answers

Answer:

63.5

Step-by-step explanation:

63+64/2

127/2

63.5 hope it helpssssssssssss

Answer:

64

Step-by-step explanation:

slope = 1/3; y-intercept = -1

Answers

Answer:

What is the question?

Step-by-step explanation:

Answer:

y = (1/3)x -1

Step-by-step explanation:

y = mx + b

Here, m = 1/3 ;  y -intercept (b) = -1

y = (1/3)x -1

ANSWER THIS NOW please. An amusement park constructed a new ride called the "Haunted Hotel." There are x2 –
3 floors in this hotel. Each floor is 2x2 + 5 feet high. Which expression shows the total
height of this hotel?

Answers

Answer:

2x⁴ - x² - 15

Step-by-step explanation:

(X² - 3)(2x² + 5)

[x²(2x² + 5)] - [3(2x² + 5)]

= 2x⁴ - x² - 15

Toni bought 5 t-shirts for 35 if each T-shirt cost the same amount .how much tony would pay for20 shirts 

Answers

Answer: The answer is Toni can buy 20 tee shirts for 140 dollars

Step-by-step explanation:

First you find out how many times 5 can go into 20

Next you see that 5 can go into 20, 4 times so you take the 35 and multiply 4 and you get 140 so you can buy 20 tee shirts for 140 dollars.

If AFGH » AKJH, find FH.

Answers

Answer:

there is no numbers

Step-by-step explanation:

An angle measures 27.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles have a sum of 180 degrees.

a+a-27.2=180

2a-27.2=180

2a=207.2

a=103.6, and since b=a-27.2

b=76.4

So one angle is 103.6 degrees and the other is 76.4 degrees.

Read the problem below. Type in your answer on the box.
The length of a rectangle is (3x - 1) and its width is ( 2x + 5). What is the area of the rectangle?

Answers

Answer:

3x^2 + 13x - 5

Step-by-step explanation:

To find the area, you multiply the length by width. So its is (3x - 1) * (2x + 5)

Then distribute. (3x * 2x) + (3x *5) + (-1 *2x) + (-1 * 5)

So 3x^2 + 15x -2x -5

Final Answer: 3x^2 + 13x - 5

Answer:

30 INCHES

Step-by-step explanation:

polygon ABCD is dilated using a scale factor of 6/5 to produce polygon A'B'C'D with the origin as the center of dilation.

Answers

Answer:

the answer is A

Step-by-step explanation:

Find the length of ST.

Answers

Answer:

ST = 5

Step-by-step explanation:

3/12 = ST/(ST+15)

12ST = 3ST+45

9ST = 45

ST = 5

What is the slope is this line please?

Answers

Answer:

3/4

Step-by-step explanation:

I'm not for sure but it won't hurt to try it.

Answer:

m= -1/2

Step-by-step explanation:

(0,3) and (4,1)

m=(y2-y1)/(x2-x1)

m=(1-3)/(4-0)

m= (-2)/4

m= -1/2

helppp find the value of the missing side length pleasee

Answers

Step-by-step explanation:

[tex]45 + 45 + x = 180 \\ 90 + x = 180 \\ x = 180 - 90 \\ x = 90[/tex]

90!!!!!!!!!!!!!!!!!!

A rectangular prism has a volume of 60 cubed inches. The length of the prism is 4in and the width is 3in. What is the height? Use V=LWH to solve. Show your work.

Answers

Answer is- 48
Explanation:
60=4*3*h
60=12*h
60-12=h
48=h

Due in a couple of hours pls help!!!

Answers

Answer:

Co me he re guys tjyvynoqtu

If f(1) = 8 and f(n) = -4f(n-1) + 5 then find the value of f(3).

Answers

Answer:

f(3) = 113

Step-by-step explanation:

Using the recursive rule and f(1) = 8 , then

f(2) = - 4f(1) + 5 = - 4(8) + 5 = - 32 + 5 = - 27

f(3) = - 4f(2) + 5 = - 4(- 27) + 5 = 108 + 5 = 113

How do I Graph: y = 2(2*)

Answers

Answer:

Step-by-step explanation:

help plz i give brainiest

Answers

Answer:

a) 5²/4². b) 4.2²/2.8²

This is your answer ☺️☺️

Answer:

a. [tex]\frac{5}{4}[/tex]

b. [tex]\frac{3}{2}[/tex] or [tex]1\frac{1}{2}[/tex]

Steps:For a.)Apply radical rule: [tex]\sqrt[n]{\frac{a}{b} } =\frac{\sqrt[n]{a}}{\sqrt[n]{b} }[/tex], assuming [tex]a\geq 0,b\geq 0[/tex]

= [tex]\frac{\sqrt{25} }{\sqrt{16} }[/tex]

[tex]\sqrt{16}=4[/tex]

[tex]\frac{\sqrt{25} }{4}[/tex]

[tex]\sqrt{25} =5[/tex]

[tex]=\frac{5}{4}[/tex]

For b.)[tex]\frac{\sqrt{18} }{\sqrt{8} }[/tex]

Apply radical rule: [tex]\frac{\sqrt{a} }{\sqrt{b} } =\sqrt{\frac{a}{b} }[/tex]

Which means[tex]\frac{\sqrt{18} }{\sqrt{8} }=\sqrt{\frac{18}{8} }[/tex]

[tex]=\sqrt{\frac{18}{8} }[/tex]

2. Cancel [tex]\frac{18}{8}[/tex]: [tex]\frac{9}{4}[/tex]

= [tex]\sqrt{\frac{9}{4} }[/tex]

Now apply the radical rule: [tex]\sqrt[n]{\frac{a}{b} } =\frac{\sqrt[n]{a} }{\sqrt[n]{b} }[/tex]  assuming [tex]a\geq 0,b\geq 0[/tex]

= [tex]\frac{\sqrt{9} }{\sqrt{4} }[/tex]

[tex]\sqrt{4}=2[/tex]

[tex]=\frac{\sqrt{9} }{2}[/tex]

[tex]\sqrt{9}=3[/tex]

The final answer for b.) should be [tex]\frac{3}{2}[/tex]

Find the value of i^9

Answers

Answer:

The answer is i (i^9)

Step-by-step explanation:

help if u mayy:)))))))

Answers

Answer:

R= 16

M=  -12

N=  -4

Step-by-step explanation:

what you need to do next time is when you figer out one of the numbers see what it is multiplying by so you know what the numbers would be

Have a nice week.  Please mark as brainllest

[o]-[o]

\___/

WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

-125

Step-by-step explanation:

-1/125 so x = -125

Answer:

-125

Step-by-step explanation:

Since the question has already applied the negative exponent rule and expanded it, we just need to find the value for x.

1/ (- 5)(-5)(-5)

1/-125

The value of x is -125

Jessie needs 36 eggs. Cartons of 12 eggs cost $2.75 each. How much does Jessie need to spend for 36 eggs

Answers

Answer:        $8.25 is your answer.

Step-by-step explanation:

12 x 3 = 36

2.75 for 12 so 2.75 times 3 = 8.25

Answer:

$8.25

Explanation:

If 12 eggs cost £2.75,

3 x 12 = 36,

$2.75 x 3 = $8.25.

x 0 1 2 3 4
y -2 -1 2 7 ?
What is the missing term?

Answers

Answer:

Sry

Step-by-step explanation:

Which expression is equivalent to 10p?

Answers

Answer: 5(2p-7)

Step-by-step explanation:

im using all my points for this pls help
A. The area of a square is 196 cm.?. What is the length of each side?
B. The area of a rectangle is 94.5 in.. The length is 9 inches. What is the
width?
What is the answer to a and b

Answers

Answer:

A. 14 cm

B. W== 0.5in

Step-by-step explanation:

Hope this helps

pam is 17 years old and her sister is 9. her two brothers are 11 and 7 years old. what is the mean of their ages

Answers

Answer:

11

Step-by-step explanation:

17+9+11+7 divided by 4

because the mean= sum of the terms divided by the number of terms

the sum= 17+9+11+7=44

the number of terms= 4

44 divided by 4= 11

Answer:

(17+9+11+7) / 4 mean is an average

it is equal to the sum of the elements divided by the number of elements

the sum is 44

the number of elements is 4

the mean is the average= 44/4=11

Step-by-step explanation: i dont know why they would ask that

Eliza finds an investment account that earns 4.5% interest. She decides to deposit $2,500 into an account.



How much money will be in her account after 14 years?

Answers

Answer:

Eliza will have in her $4,075 account after 14 years.

Step-by-step explanation:

:)

She will have 4,075 dollars in fourteen years

3(x + 2) – 2x + 4?

A. 12
B. 20
C. 54
D. 60

Answers

Answer:

20

Step-by-step explanation:

the answer is 20

36% of the members in a gym are females. There are 252 female gym members
a .
How many members are there altogether in the gym?​

Answers

Answer:

700members

Step-by-step explanation:

36%=252

100%=?

100×252/36

=700

Answer:

700 members in the gym

Step-by-step explanation:

Pllllz help, brainieledt and 15 points

Answers

Answer:

y=-3/2x+20

Step-by-step explanation:

slope is -3/2 and the y intercept is 20

Sweetie will feed the cat 4 oz of food each day for 10 days what is the smallest bag that has enough food for grammy cat

Answers

Answer:

40 ounces

Step-by-step explanation:

Number of ounces per day to be consumed = 4 oz

The number of days = 10

The smallest bag that has enough enough food for the cats is one which has atleast :

Number of ounces consumed per day * number of days

4 oz * 10 = 40 ounces

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