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2 years ago

The circumference of a circle is given by the formula C = 2 πr Find r if the circumference is 88 meters and π is 22/7

Mathematics

2 answers:

True [87]2 years ago

5 0

Answer:

radius= 1.272727 meters.

Step-by-step explanation:

We have given the circumference of a circle :

C = 88 meters.

We have to find the radius of circle.

We know the formula of circumference that is:

C = 2πr

Here C =88 and π = 22/7.

Putting these values in above formula we get,

88 = 2(22/7)r

88 = (6.285714)r

r = 88/ (6.285714)

r= 1.272727 meters.

Viefleur [7K]2 years ago

3 0

Answer: 1.27 m

Step-by-step explanation:

To solve this problem you onlly need to solve dor the radius from the formula of the circumference given in the problem above, as you can see below:

$C=2r\pi \\r=C/2\pi$

Substitute values into the formula, therefore you obtain that the radius of the circle is the shown below:

$r=\frac{8m}{2*\frac{22}{7}}\\r=1.27m$

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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.

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3 years ago

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olganol [36]

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2 years ago

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

Look at the picture.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate b:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ subtract 10/3 from both sides

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

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3 years ago

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Kobotan [32]

Answer:

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Step-by-step explanation:

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2 years ago

Help me I need help with this factorization of 630?

nignag [31]

Answer:

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3 years ago