3 years ago

Which pair of expressions is equivalent?

Mathematics

1 answer:

dlinn [17]3 years ago

6 0

Answer:

Step-by-step explanation:

sorry if i am wrong

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4 years ago

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3 years ago

Use the power reducing formula to rewrite the expression in therms of first powers of hte cosines of ultiple angles 3cos^4x.

Oxana [17]

The particular identity you want to use is

$\cos^2x=\dfrac{1+\cos(2x)}2$

Then

$3\cos^4x=3(\cos^2x)^2=3\left(\dfrac{1+\cos(2x)}2\right)^2=\dfrac34(1+\cos(2x))^2$

Expand the binomial to get

$3\cos^4x=\dfrac34\left(1+2\cos(2x)+\cos^2(2x)\right)$

Use the identity again to write

$\cos^2(2x)=\dfrac{1+\cos(4x)}2$

and so

$3\cos^4x=\dfrac34\left(1+2\cos(2x)+\dfrac{1+\cos(4x)}2\right)$

$3\cos^4x=\dfrac38\left(3+4\cos(2x)+\cos(4x)\right)$

7 0

3 years ago

Identify the volume of the composite figure. HELP PLEASE!!

Ilya [14]

Answer:

Vol. of the composite figure is 189 m³

Step-by-step explanation:

Find the volume of the larger figure by mult. together its 3 dimensions:

V = (9 m)(8 m)(3 m) = 216 m³.

Next, find the volume of the "notch," which is (3 m)³, or 27 m³.

Finally, subtract the "notch" volume from the 216 m³ volume found earlier:

216 m³ - 27 m³ = 189 m³

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4 years ago

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larisa [96]

14 is the answer I believe

8 0

2 years ago