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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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3/4x=-18 what is the answer?
Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x-(18)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           4

Equation at the end of step  1  :

  3        

 (— • x) -  18  = 0

  4        

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         18     18 • 4

   18 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4)     3x - 72

—————————————  =  ———————

      4              4  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x - 72  =   3 • (x - 24)

Equation at the end of step  3  :

 3 • (x - 24)

 ————————————  = 0

      4      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-24)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-24)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-24 = 0

Add  24  to both sides of the equation :

                     x = 24

One solution was found :

                  x = 24

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3 years ago
Help me! :( will appreciate any type of help
KengaRu [80]

Answer:32

Step-by-step explanation: (2+3x)= 98 then solve

8 0
2 years ago
Which of the relations given by the following sets of ordered pairs is a function?
KonstantinChe [14]

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Answer:

  (a)  {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}

Step-by-step explanation:

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A person plans to invest a total of $3500 in one bank account at 2.2% annual interest and another bank account at 17% annual int
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Answer:

$435.3

Step-by-step explanation:

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Interest, I=Pi/100 where P is principal amount and i is rate of interest in percentage

For $3500, the interest will be 3500*2.2/100=$77

From total target of $151, the person is less 151-77=$74

Taking x as principal and rate of interest as 17% then

0.17x=74

X=74/0.17=$435.2941176470

Rounded off as $435.3

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Jacob's favorite movie is 1 5/6 hours long. He says he has watch the movie 5 and a half times. If that is true. How many hours h
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1\frac{5}{6}=\frac{11}{6}, and when you multiply it by 5 it turns into \frac{55}{6}, which is 9\frac{1}{6}

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