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4 years ago

How do you simplify 2 sin (4theta) cos (4theta), using a double-angle formula?

Mathematics

1 answer:

VikaD [51]4 years ago

3 0

sin(4θ)=sin(2⋅2θ) You would use the double angle formula twice here. hope this helps :D

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Can someone help me with this?

aivan3 [116]

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

Given

Volume (v) = 57ft³

$v = \frac{4}{3} \pi {r}^{3}$

$57 = \frac{4}{3} \times 3.14 \times {r}^{3}$

$57 = \frac{12.56}{3} \times {r}^{3}$

$57 = 4.19 \times {r}^{3}$

${r}^{3} = \frac{57}{4.19}$

${r}^{3} = 13.6$

$r = \sqrt[3]{13.6}$

Therefore r = 2.4 ft

I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft

7 0

3 years ago

PLZZZZZ NEED HELP!!!!!!

storchak [24]

Cos 18 = x/25
x = 25 cos 18
x = 25(0.9510) = 23.775 ~ 23.78 cm

5 0

3 years ago

A chemical factory has 2 cylindrical chemical tanks, one containing Chemical X and the other containing Chemical Y. The tank con

Mashutka [201]

The tank with Chemical X "takes up" a space of 25ft³. Ordinarily we think of something "taking up" space as being area or surface area; however, area is a square measurement, and this is cubic; this must be volume. The volume of the tank with Chemical X is 1.5 times the volume of the tank containing Chemical Y; setting this up in an equation we would have
25 = 1.5V
We would divide both sides by 1.5 to get the volume of the tank containing Chemical Y:
$\frac{25}{1.5}=\frac{1.5V}{1.5} \\16 \frac{2}{3}=V$
To find the volume of a cylinder, we find the base area and multiply by the height. We know the volume and we know the base area, so our equation to find the height of the tank containing Chemical Y would look like:
$16 \frac{2}{3}=3.2h \\ 16 \frac{2}{3}=3 \frac {2}{10}h$
We would now divide both sides by 3 2/10:
$\frac{16 \frac{2}{3}}{3 \frac{2}{10}}= \frac{3 \frac{2}{10}h}{3 \frac{2}{10}}$
This is the same as:
$\frac{\frac{50}{3}}{\frac{32}{10}}=h \\ \\ \frac{50}{3}* \frac{10}{32}=h \\ \\ \frac{500}{96}$
So the height of the tank containing Chemical Y is 500/96 = 5 5/24 feet.

8 0

3 years ago

3/4w=9 what does w equal?

Studentka2010 [4]

3/4 w = 9

multiply by 4/3 on both sides

4/3 x 3/4 w = 9 x 4/3

w = 9 x 4/3

Simplify that

w = 3 x 4

w = 12

So your final answer is

$\boxed{\bf{w=12}}$

5 0

3 years ago

Read 2 more answers

The length of a rectangle exceeds its width by 7 inches and the area is 30 inches what are the length and width of the rectangle

Sonja [21]

L is 10
w is 3
10-3 is 7
3*10 is 30

4 0

4 years ago