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Nonamiya [84]
3 years ago
13

if you drop a tennis ball from the height of 100in and the rebound is 58in what is the height on the 10th bounce?

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

0.431 inches

Step-by-step explanation:

We were given the following values:

Height the tennis ball was dropped = 100in

Rebound height = 58in

We have to find the rebound ratio

= 58in/100in = 0.58

The formula to be used

Height on nth bounce = Initial height × (Rebound ratio)ⁿ

Where n = number of bounce

Height on the 10th bounce = 100 × (0.58)^10

Height on the 10th bounce = 0.4308042069inches

Approximately, the height on the 10th bounce = 0.431 inches.

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Step-by-step explanation:

8.27 is rational

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the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the
dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

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Answer:

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Step-by-step explanation:

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Well when you see parentheses set up like these together that automatically means to multiply. The solution is:
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Write a system of inequalities using the given graph
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Take two points

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Slope

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So both lines have y intercept at -3 and -1 respectively

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So as lines are dashed symbols remain >

The inequalities are

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