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3 years ago

Find the area of the circle. Write your solution in terms of and round to the nearest hundredth.

Mathematics

1 answer:

sleet_krkn [62]3 years ago

4 0

Answer:

A = 25π cm²

In decomal form = 78.5cm²

Step-by-step explanation:

Area of a circle is expressed as;

A = πr²

r is the radius of the circle

Since we are not given the radius. Let us assume that r = 5cm

Substitute into the formula;

A = π(5)²

A = 25π cm²

As a decomal;

A = π(5)²

A = 3.14 * 25

A = 78.5cm²

<em>Note that the radius of the circle was assumed. The same calculation can be employed for any value of the radius</em>

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Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

8 0

3 years ago

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Let f(x) = 2x+4. If f(x) = 16, find x.

jeyben [28]

$f(x)=2x+4$

And we are given that $f(x)=16$ and want to find the value of x. Set f(x) to 16 and we get the equation:

$2x+4=16$

Subtract both sides by 4

$2x=12$

Divide both sides by 2

$x=6$

This is the answer. Let me know if you need any clarifications, thanks!

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3 years ago

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The cost of a book was decreased from 60 to 50 by what percent the price decrased with solution

Artist 52 [7]

Answer:

The price decreased by 16 1/3%, or approximately 16.3%

Step-by-step explanation:

Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.

percent change = (new price - old price)/(old price) * 100%

In this case, use:

new price = 50

old price = 60

percent change = (new price - old price)/(old price) * 100%

percent change = (50 - 60)/60 * 100%

percent change = -10/60 * 100%

percent change = -1/6 * 100%

percent change = -100/6% = -50/3% = -16 1/3%

The price decreased by 16 1/3%, or approximately 16.3%

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3 years ago

a boat travels 252 miles in 13 hours (with a constant speed) How much time will it take traveling 279 miles?

Ilya [14]

Answer: 14.4 h

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