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3 years ago

Your friend's final bowling score is 105. Your final bowling score is 14 pins less than your friends final score.

Mathematics

2 answers:

Elanso [62]3 years ago

7 0

Answer: a) 91 pins b) No.

Step-by-step explanation:

Since we have given that

Number of final bowling score of his friend = 105

Number of final bowling score of him be 'x'.

According to question, his final bowling score is 14 pins less than his friends final score, it becomes,

$105-x=14\\\\105-14=x\\\\91=x$

a) the final score of his is 91 pins.

b.) Your friend made a spare in the tenth frame. Did you? Explain.

No, as his friend has 14 pins more than him, so, he could not do this.

Hence, a) 91 pins b) No.

aliina [53]3 years ago

3 0

A.) 105-14=91
b.) No,cause you wont have 14 pins.

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tekilochka [14]

Answer:

It will take 5.61 seconds for the coin to reach the stream.

Step-by-step explanation:

The height of the coin, after t seconds, is given by the following equation:

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The stream is the ground level.

So the coin reaches the stream when h(t) = 0.

$h(t) = -16t^{2} + 72t + 100$

$-16t^{2} + 72t + 100 = 0$

Multiplying by (-1)

$16t^{2} - 72t - 100 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$16t^{2} - 72t - 100 = 0$

$a = 16, b = -72, c = -100$

$\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584$

$t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61$

$t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11$

Time is a positive measure, so we take the positive value.

It will take 5.61 seconds for the coin to reach the stream.

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