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Dmitriy789 [7]
2 years ago
12

Rewrite this radicand as two factors, one of which is a perfect square.

Mathematics
2 answers:
seropon [69]2 years ago
5 0

Answer:

2 \sqrt{15}

Step-by-step explanation:

1) rewrite 60 as it's prime factors.

\sqrt{2 \times 2 \times 3 \times } 5

2) group the smae prime factors into pairs.

\sqrt{(2 \times 2)}  \times 3 \times 5

3) Rewrite each pair in exponent form.

\sqrt{ {2}^{2} \times 3 \times 5 }

4) use this role:

\sqrt{ {x}^{2} }  = x

2 \sqrt{3 \times 5}

5) Simplify.

4 \sqrt{15}

So, therefor, the answer is option 1.

Ilia_Sergeevich [38]2 years ago
3 0
The answer is a. 4x15=60 and 2^2=4 so we get 2x/sqrt(15)
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The formula for compound interest is

P = I (1 + r/n)^nt

where

P: the total amount of money in the account after a certain amount of time

I: the principal amount

r: the interest rate as a decimal

n: the number of times a year interest is compounded

t: the number of years passed

For Patrick:

P = 200 (1 + 0.02/12)^12*8

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For Brooklyn:

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7 0
2 years ago
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anastassius [24]

Answer:

-18k^2+72kx+54x^2

Step-by-step explanation:

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4 0
3 years ago
Simplify a5 ÷ a4, a ≠ 0.<br> A) 5a<br> B) a<br> C) 4a<br> D) 1
wel
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3 years ago
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liq [111]

Answer:

A. V = (pi)(3.25)^2(12)

Step-by-step explanation:

The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

A = (pi)(r)^2

Multiply that by the height to find the formula for the volume of a cylinder,

V=(pi)(r)^2(h)

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

V=(pi)(\frac{6.5}{2})^2(12)\\\\V = (pi)(3.25)^2(12)

3 0
3 years ago
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