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Trava [24]
2 years ago
9

Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference. How

many rotations does each wheel make while Shawn is coasting down the ramp?
Mathematics
2 answers:
jekas [21]2 years ago
5 0
It will make 16 rotation

hope it helps plz mark as brainliest
NeTakaya2 years ago
5 0

Answer: About 16

Step-by-step explanation:

Given : The length of the ramp = 500 cm

The circumference of the wheel = 32 cm

We know that the number of rotations made by a wheel is given by :-

\text{No. of rotations}=\text{Length of the ramp}\div\text{ Circumference of wheel}

Therefore , the number of rotations made by each wheel = 500\div32

=15.625\approx16  [Rounded to the nearest integer.]

Hence,  each wheel will make about 16 rotations while Shawn is coasting down the ramp.

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Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

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Need to determine length of the rectangle.

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So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

\text { area of rectangle }=length \times width

As given that Area of rectangle = 867 square inches

\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}

On solving quadratic equation by using quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

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