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Bess [88]
3 years ago
5

A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of

the circle. What is the ratio of the area of the square to the area of the circle?

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

r=AB=AC=BC, AD=r/2, ED=DF=CD=squareroot(3.r)/2

The area of square is : (EF)^2=(squareroot(3.r))^2=3r^3

The area of circle is : (pi.r^2)

The ratio will be: 3/pi

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hodyreva [135]
75/100 x/56
Then do the math to find what's <span>75% of 56.</span>
3 0
3 years ago
what are the x-intercepts of the graph of the function f(x) = x2 4x – 12? (–6, 0), (2,0) (–2, –16), (0, –12) (–6, 0), (–2, –16),
joja [24]
F(x) = x^2 + 4x - 12
x-intercepts are the values of x when y = 0
x^2 + 4x - 12 = 0
(x - 2)(x + 6) = 0
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Therefore the x-intercepts are (-6, 0), (2, 0)
4 0
3 years ago
Read 2 more answers
1. Two thousand dollars is invested at 5.5 percent interest compounded
Dafna11 [192]

Two thousand dollars is invested at 5.5 percent interest compounded

quarterly for 2 years. Then the amount is $ 2230.88

<u>Solution:</u>

Given that Two thousand dollars is invested at 5.5 percent interest compounded  quarterly for 2 years

<em><u>The formula for amount using compounded quarterly is given as</u></em>:

\text { Amount }=P\left(1+\frac{R / 4}{100}\right)^{4 T}

Where, "p" is the principal sum

"R" is the rate of interest

"T" is the number of years

Here in this problem,

P = 2000 ; R = 5.5 ; T = 2 years

Plugging in values in formula we get,

\text {Amount}=2000\left(1+\frac{\frac{5.5}{4}}{100}\right)^{4 \times 2}

=2000\left(1+\frac{1.375}{100}\right)^{8}

On solving we get,

=2000(1+0.01375)^{8}=2000(1.11544)=2230.88

Hence the amount is $ 2230.88

4 0
3 years ago
BRAIN TO CORRECT ANSWER!!
vaieri [72.5K]

Answer:

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Step-by-step explanation:

X is most likely used to symbolize a number under twenty but over 10 - but you don't have the question posted

6 0
2 years ago
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Answer:

\int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

Step-by-step explanation:

i)it is given that the rate of change of W with respect to x is proportional to          

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ii) Therefore \int k(x + 18)dx = \int kx + 18k dx = k\frac{x^{2} }{2} + 18kx + C where C is the constant of integration.

iii) the complete solution can only be found if we know the constant of proportion and also the constant of integration.

4 0
3 years ago
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