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djverab [1.8K]
4 years ago
14

Please help! You will get 17 points!

Mathematics
2 answers:
lawyer [7]4 years ago
8 0

Answer:

1695.6 is the volume.

Step-by-step explanation:

3.14 * 6^2 * 15 = 1695.6

gavmur [86]4 years ago
8 0

Answer:

1695.6 yds^ 3

Step-by-step explanation:

If the diameter is 12 yds then the radius is 6 yds.  The height is 15 yds.  Thus the volume of this cylinder is

V = πr²h = 3.14(6 yd)^2·(15 yds) = 1695.6 yds^ 3

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Lowering powers write in terms of first power of cosine. Cos^6
yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x

Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x

\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x

4 0
4 years ago
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using
madam [21]

Answer:

1\dfrac{1}{2} teaspoon of salt is required

Step-by-step explanation:

The recipe requires 3/4 cup of flour and Nick wants to make the recipe using 1 cup of flour.

The recipe requires  1 1/8 teaspoon of salt and Nick wants to know how much salt he heeds.

Consider short description:

3/4 cup of flour - 1 cup of flour,

1 1/8 teaspoon of salt - x teaspoon of salt.

Mathematically, you can wrte a proportion:

\dfrac{\frac{3}{4}}{1\frac{1}{8}}=\dfrac{1}{x}.

Then

\dfrac{3}{4}\cdot x=1\cdot 1\dfrac{1}{8},\\ \\\dfrac{3x}{4}=\dfrac{9}{8},\\ \\3x\cdot 8=4\cdot 9,\\ \\24x=36,\\ \\x=\dfrac{36}{24}=\dfrac{3}{2}=1\dfrac{1}{2}.

3 0
4 years ago
(19) Larry can run a mile in 9 minutes. At the same pace, can he run 26 miles in 3<br> hours?
disa [49]
He would be able to run 26 miles in 3.9 hours with a 9 minute mile pace
6 0
3 years ago
Pls help I’ll brainlest and add extra points<br><br> Just do number 1
Lapatulllka [165]

Answer:

B

Step-by-step explanation:

While reading, I felt like the quote was in an angry tone. It sounded like the author wanted the Devil to know that he was ready to attack him in vengeance and questioned why the Devil wasn't afraid.

8 0
3 years ago
At Pizza Company, Lee made 50 pizzas one day. There were 110 pizzas sold that day. What fraction of the pizzas did Lee make? Sim
sineoko [7]

Answer:

50/110 or 5/11

Step-by-step explanation:

Use 5/11 as your final answer

8 0
3 years ago
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