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Triss [41]
3 years ago
13

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
Yes correct yay ! :)
Bezzdna [24]3 years ago
6 0

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

arc =  \frac{θ}{360}  \times 2 \: \pi \: r

Let r be radius = 56 cm,

Let θ = 90°

arc =  \frac{90}{360}  \times 2 \times\pi \times 56

=  \frac{1}{4}  \times 2 \times \pi \times 56

=  \frac{1}{2}  \times \pi \times 56

= 28\pi \: cm

We have already found the arc. Next we have to add up together to find the perimeter :

p = 56 + 56 + 28\pi

p = 112 + 28\pi

p = 200 \: cm \: (3s.f)

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Select three ratios that are equivalent to 11:111:111, colon, 1.<br> Choose 3 answers:
kirill115 [55]

The three ratios that are equivalent to the given ratio are options B, C and E.

<h3>How to determine the equivalent ratios?</h3>

In order to determine the ratios that are equivalent to the given ratio, we would evaluate by dividing each of them by their respective denominator value:

(11:111:111)/1 = 11:111:111.

For choice A, we have:

1:111:111/11 = 1/11:111:111 (not equivalent).

For choice B, we have:

22:222:222/2 = 11:111:111. (equivalent).

For choice C, we have:

55:555:555/5 = 11:111:111. (equivalent).

For choice D, we have:

9:999:999/99 = 1/11:111:111 (not equivalent).

For choice E, we have:

110:1110:1110/10 = 11:111:111. (equivalent).

Read more on ratio here: brainly.com/question/13513438

#SPJ1

<u>Complete Question:</u>

Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.

4 0
2 years ago
10 seconds into a race, Clara was at the 25 meter mark. At 60 seconds into the race, she was at the 100 meter mark. What was the
lions [1.4K]

Answer:

1.5 m/s

Step-by-step explanation:

To find the rate of change for two different sets of data, you have to divide the distance and the time to find the speed.  

Using the general formula: d = rt, where d=distance, r=rate and t=time,

r = d/t

\frac{distance}{time}=\frac{meters}{second}=\frac{75}{50}=1.5m/s

3 0
3 years ago
I NEED HELP PLEASE !!!!!<br><br> answer needs to be in simplest radical form
AnnZ [28]

Answer:

Use the image as an example

Step-by-step explanation:

Use this image as an example to solve it may help.

Hopefully this helps:)

3 0
3 years ago
Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1
6 0
3 years ago
4-[2.5(5.4+2.6)-(-7.2)
valkas [14]
-23.2 I think this is the answer
7 0
3 years ago
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