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Ostrovityanka [42]
3 years ago
7

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

so


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
Read 2 more answers
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!

8 0
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%

7 0
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

The speed is : v=\frac{d}{t} =\frac{252}{13} =19.46 miles/h\\

The time it takes to travel 279 miles :

t'=\frac{d}{v} =\frac{279}{19.46} =14.4 hours

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