1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleksandr [31]
2 years ago
14

A school track is shown.

Mathematics
2 answers:
aliina [53]2 years ago
8 0

Answer:

Hey There!

Given that:

<em><u>There</u></em><em><u> </u></em><em><u>are </u></em><em><u>2</u></em><em><u> </u></em><em><u>semicircles</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>same </u></em><em><u>radius</u></em><em><u> </u></em><em><u>i.e </u></em><em><u>a </u></em><em><u>circle</u></em>

<em><u>and </u></em><em><u>a </u></em><em><u>Rectangle</u></em>

To find:

<em><u>The </u></em><em><u>perimeter</u></em><em><u> </u></em><em><u>i.e </u></em><em><u>the </u></em><em><u>sum </u></em><em><u>of </u></em><em><u>the </u></em><em><u>circumference</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>circle </u></em><em><u>+</u></em><em><u> </u></em><em><u>the </u></em><em><u>perimeter</u></em><em><u> </u></em><em><u>of </u></em><em><u>the </u></em><em><u>rectangle</u></em>

<h2><em><u>\huge\colorbox{pink}{s}olution =  ></u></em></h2><h2><em><u>2</u></em><em><u>π</u></em><em><u>r</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>(</u></em><em><u>l+</u></em><em><u>w)</u></em></h2>

<em><u>where</u></em>

  • <em><u>π </u></em><em><u>=</u></em><em><u>3</u></em><em><u> </u></em><em><u>.</u></em><em><u>1</u></em><em><u>4</u></em>
  • <em><u>r=</u></em><em><u>7</u></em><em><u>4</u></em><em><u>/</u></em><em><u>2</u></em><em><u>=</u></em><em><u>3</u></em><em><u>7</u></em><em><u>m</u></em>
  • <em><u>l=</u></em><em><u> </u></em><em><u>1000</u></em><em><u>m</u></em>
  • <em><u>w=</u></em><em><u> </u></em><em><u>7</u></em><em><u>4</u></em><em><u>m</u></em>
<h2><em><u>=</u></em><em><u>></u></em></h2><h2><em><u>2</u></em><em><u> </u></em><em><u>x </u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>37 </u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u>(</u></em><em><u>1000</u></em><em><u>+</u></em><em><u>7</u></em><em><u>4</u></em><em><u>)</u></em></h2><h2><em><u>=</u></em><em><u>></u></em><em><u>2</u></em><em><u>3</u></em><em><u>2</u></em><em><u>.</u></em><em><u>3</u></em><em><u>6</u></em><em><u> </u></em><em><u>+</u></em><em><u>2</u></em><em><u>1</u></em><em><u>4</u></em><em><u>8</u></em></h2><h2><em><u>=</u></em><em><u>></u></em><em><u>2</u></em><em><u>,</u></em><em><u>3</u></em><em><u>8</u></em><em><u>0</u></em><em><u>.</u></em><em><u>3</u></em><em><u>6</u></em><em><u> </u></em><em><u>m</u></em></h2>
ella [17]2 years ago
4 0

Answer:

2232.36m

Explanation:

since the perimeter of two semicircles adds up to that of one circle, the perimeter of the track would be the perimeter of the circle + the length of the rectangle.

we can find the perimeter of the circle using the formula of π × diameter, which would be:

π × diameter

= 3.14 × 74

= 232.36

now, we can add this to the given length of the rectangle:

232.36 + 1000 + 1000 = 2232.36

thus, the perimeter of the track is <u>2232.36m</u>.

i hope this helps! :D

You might be interested in
£60 is divided between Peter, Angad &amp; Nick so that Peter gets twice as much as Angad, and Angad gets three times as much as
Anna [14]

60£

Peter = 2 Angard

Angard = 3 Nick

Peter = 2 Angard = 6 Nick

Angard = 3 Nick

Nick = 1 Nick

6+3+1=10 Nick

60£/10 = 6£

Nick = 6£

Angvard = 3 Nick = 6£*(3) = 18£

Peter = 6 Nick = 6£*(6) = 36£

(prove: 6+18+36=60£)

3 0
3 years ago
Marc showed 7 with this addition sentence 7=3+3+1. Use marc’s way to show these odd numbers with addition sentences . 5=
Doss [256]
The answer is: 5=3+1+1
3 0
3 years ago
Working alone, it takes Julia 16 hours to clean an attic. Lea can clean the same attic in 15 hours. If they worked together how
egoroff_w [7]
How do you think we set this problem up?

7 0
3 years ago
Please help me please!!​
irakobra [83]

Answer:

mok

Step-by-step explanation:

mok

7 0
2 years ago
ASAP!!!!!!!<br><br> y-13=4(x-2)
Juliette [100K]
Y-13=4(x-2)
y-13=4x-8
y=4x+5
5 0
3 years ago
Other questions:
  • The image from reflecting a figure in the third quadrant over the x-axis
    15·1 answer
  • Write three fractions that can be written as percents between 50% and 75%. Justify your solution.
    8·1 answer
  • Find the volume of the cone.
    15·1 answer
  • Y 2 + 5y Choose the constant term that completes the perfect square trinomial.
    5·1 answer
  • Translate the sentence into an equation.
    5·1 answer
  • As smart phones have grown in popularity, regular cell phones have fallen out of favor. As a
    9·1 answer
  • An initial population of 505 quail increases at an annual rate of 23%. Write an exponential function to modelthe quail populatio
    15·1 answer
  • Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is
    5·1 answer
  • Can someone help me?
    15·2 answers
  • In the following exercises, multiply the binomials. Use any method.<br> 255. (a + b)(2a + 3b)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!