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Masja [62]
2 years ago
6

Show all work to write the expression in simplified radical form:

Mathematics
2 answers:
Gekata [30.6K]2 years ago
8 0

Answer:0.08333333....

Step-by-step explanation:

anzhelika [568]2 years ago
3 0

Answer:

4x²

Step-by-step explanation:

Normally you would use the exponent → roots rule, but this one simplifies easier without that

(8x)^{\frac{2}{3} }

8 = 2³

so (8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}}

then the threes cancel, since one is a 3 and the other one is \frac{1}{3}

so (8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}} = (2x)^2

then just square the 2 and the x

(8x)^{\frac{2}{3} } = (2^{3}x)^{\frac{2}{3}} = (2x)^2 = 4x^2

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3 years ago
Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

the total surface area of the prism is

A = 2wl + 2lh + 2hw,

l is the length of the prism = 18 in,

w= width of the prism = 12 in,

h is the height of the prism = 10 in

hence A = 2(12 \times 18 ) + 2(18 \times 10) + 2(10 \times 12)=1032in^{2}

We need to convert the area of the fabric to be in the same unit as that of the prism

Area of cotton fabric = 1 yd^{2}= 1296 in ^{2}

since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

6 0
3 years ago
Read 2 more answers
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