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3 years ago

If the area of a circle is found using A=πr2, find r if the area is 25in2 and using pi equals 3.14

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

r = 2.8 in ( to 1 dec. place )

Step-by-step explanation:

substitute the given values into the formula

25 = 3.14r² ( divide both sides by 3.14 )

r² = $\frac{25}{3.14}$ ( take the square root of both sides )

r = $\sqrt{\frac{25}{3.14} }$ ≈ 2.8 in

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Given f(x) = 4x^2 + 19x - 5 and g(x) = 4x^2 - x what is (f/g)(x)?

Free_Kalibri [48]

$( \frac{f}{g} )(x) = \frac{4 {x}^{2} + 19x - 5}{4 {x}^{2} - x} = \frac{(4x - 1)(x + 5)}{x(4x - 1)} = \frac{x + 5}{x}$

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3 years ago

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Find the diagonal of a television screen 30 inches wide by 35 inches tall.

marin [14]

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

4 0

3 years ago

The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

mylen [45]

The length of side x in simplest radical form with a rational denominator is 8√3

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3