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3 years ago

A dart is tossed and hits the dart board shown.

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

4.9%

Step-by-step explanation:

To find the probability of the dart hitting the red circle, we need to find the total area of the board and the area of the red circle.

The area of the board is 16 in * 16 in = 256 in2

The area of the red circle is pi * 2^2 = 12.5664 in2

So the probability of the dart landing on the red circle is:

Probability = area_circle / area_board = 12.5664 / 256 = 0.0491 = 4.91%

Rounding to nearest tenth, we have 4.9%

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Step-by-step explanation:

1. 51 degrees

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3 years ago

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3 years ago

A line and the point (3,4) are graphed in the coordinate plane. what is the equation of the line that passes through the point (

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Step-by-step explanation:

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2 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+

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:

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

How long will it take the coin to reach the stream?

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.

3 0

4 years ago