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3 years ago

What’s the answer for this question?

Mathematics

1 answer:

loris [4]3 years ago

6 0

Your answer is 16 because you have to multiply b and c but it has to be squared and then you subtract 400 by 144 and get 256 and the square root of that is 16

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(2 4/10+8 4/5)-3 1/5 equals what whole number

FromTheMoon [43]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

For each part, use the Distributive Property to write an equivalent expression

iren2701 [21]

Answer:

The answer is -3x.

Step-by-step explanation:

Combine like terms.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

A large aquarium has 6 more fish than a small aquarium. There are 19 fish in the large aquarium. How many fish are in the small

iVinArrow [24]

Answer: 13

Step-by-step explanation:

8 0

3 years ago

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A dolphin can swim up to 40 miles per hour.what is the speed in feet per hour?

zalisa [80]

In this question, the speed of the dolphin is already given, but the unit is different. The speed of the dolphin is given as 40 miles per hour and it has to be converted to feet per hour.
We already know that 1 mile = 5280 feet
Then
40 mile = 5280 * 40 feet
= 211200 feet
So the speed in feet per hour will be 211200 feet per hour. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems without requiring any help from outside.

5 0

3 years ago