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Aleksandr [31]
3 years ago
14

A school track is shown.

Mathematics
2 answers:
aliina [53]3 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]3 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

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ANSWER ASAP <br> PLEASE AND THANK YOU
Romashka [77]

Answer:

(C) $111.83

Step-by-step explanation:

If Sonya buys four pairs of shoes, each on a buy one get one 50% off, that means that we can find the value if she bought ONE deal of buy one get 50% off one, then multiply that by 2 (as if you do the deal, you are paying for two.)

The shoe costs $35, and if we have a 50% discount on it:

35\cdot0.5=17.5

So the cost of the shoe ON DISCOUNT is 17.50, however the first pair still stays the same.

So the cost of two pairs of shoes using the discount is 35+17.5 = 52.5

So four pairs cost 52.5\cdot2 = 105

However, there is a tax of 6.5%

So we can multiply 105 by 1.065 to get the cost after tax.

105\cdot1.065=111.825

This simplifies down to 111.83.

Hope this helped!

7 0
3 years ago
Help me please I’m down baddddd
Pani-rosa [81]

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

8 0
3 years ago
Find the quotient. 5 1/4 ÷ 1 3/4. *
weeeeeb [17]

Answer:

3

Step-by-step explanation:

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5 0
3 years ago
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kifflom [539]

Answer:

a. y=5x-1

b. 2y=8-2x

y=8-2x/2

y=4-x

c. y=3x-3

Step-by-step explanation:

there you go

5 0
3 years ago
A baseball team played 32 games and lost 8. Katy was a catcher in 5/8 of the winning game and 1/4 of the losing games. In how ma
lana66690 [7]

32 - 8 = 24. This means that there were 24 winning games and 8 losing games.

24 multiplied by 5/8 = 15. Katy was a catcher in 15 of the winning games.

8 multiplied by 1/4 = 2. Katy was a catcher in 2 of the losing games.

In total, Katy was a catcher in 17 of the games.

6 0
3 years ago
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