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valkas [14]
3 years ago
9

What is the volume?10 ft 6ft 9ftcubic feetSubmit​

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

540 cubic feet

Step-by-step explanation:

volume = 10 \times 6 \times 9 \\   \hspace{38 pt}= 10 \times 54 \\  \hspace{38 pt}= 540 \:  {feet}^{3}  \\

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use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos^4
Firdavs [7]

The expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8.</u>

The power-reducing formula, for cosine, is,

cos² θ = (1/2)[1 + cos 2θ].

In the question, we are asked to use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine cos⁴ θ.

We can do it as follows:

cos⁴ θ

= (cos² θ)²

= {(1/2)[1 + cos 2θ]}²

= (1/4)[1 + cos 2θ]²

= (1/4)(1 + 2cos 2θ + cos² 2θ] {Using (a + b)² = a² + 2ab + b²}

= 1/4 + (1/2)cos 2θ + (1/4)(cos ² 2θ)

= 1/4 + (1/2)cos 2θ + (1/4)(1/2)[1 + cos 4θ]

= 1/4 + cos 2θ/4 + 1/8 + cos 4θ/8

= 3/8 + cos 2θ/4 + cos 4θ/8

= [ 3 + 2cos 2θ + cos 4θ]/8.

Thus, the expression cos⁴ θ in terms of the first power of cosine is <u>[ 3 + 2cos 2θ + cos 4θ]/8</u>.

Learn more about reducing trigonometric powers at

brainly.com/question/15202536

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5 0
2 years ago
What is 1.23625 rounded to the nearest cent?
Art [367]
Answer:
1.23625 rounded would be 1.24
6 0
3 years ago
Read 2 more answers
Which situation is most likely to show a constant rate of change?
Wewaii [24]
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6 0
3 years ago
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. he converts his speed into miles per hour, as shown below.
oksano4ka [1.4K]
The correct question is
<span>Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
</span>Which ratio is incorrectly written to convert his speed? 

the picture in the attached figure

we know that
The term (5280 ft/1 mi)  is incorrect
"Feet"<span> needs to be on the bottom to cancel with the previous term. 
</span>"Mile"<span> needs to be on top in the numerator so that the answer can be expressed in "miles per hour"
</span>
the correct term is (1 mi/5280 ft)

5 0
3 years ago
Cy) = 3y - 4<br> d(y) = 3 – 2y<br> Find (c. d)(y).
Sati [7]
It is the middle because the top and bottom don’t add up or make sense
3 0
3 years ago
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