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Andrews [41]
2 years ago
6

How to divide 400 by 40

Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

10

Step-by-step explanation:

because 40 can go into 400 ten times

also if you do it on long division you will do 10 times 40 is 400

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Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2
Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b).

The sine difference identity is:

\sin(a-b)=\sin(a)\cos(b)-\cos(a)\sin(a).

The cosine addition identity is:

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

The cosine difference identity is:

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

We need to find a way to put some or all of these together to get:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}.

So I do notice on the right hand side the \sin(a+b) and the \sin(a-b).

Let's start there then.

There is a plus sign in between them so let's add those together:

\sin(a+b)+\sin(a-b)

=[\sin(a+b)]+[\sin(a-b)]

=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]

There are two pairs of like terms. I will gather them together so you can see it more clearly:

=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]

=2\sin(a)\cos(b)+0

=2\sin(a)\cos(b)

So this implies:

\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)

Divide both sides by 2:

\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)

By the symmetric property we can write:

\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}

3 0
3 years ago
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. Please don't give me the wrong answers :(
nignag [31]

Answer:

10. MN=17.9 in

11. ST= 4.1 cm

12. CE= 13.0 yd

Step-by-step explanation: hope this helps :)

3 0
3 years ago
Read 2 more answers
3. A dish contains 100 candies. Juan removes candies from the dish each day and no
iVinArrow [24]

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

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2 years ago
Solve the inequality:<br><br> x^2(x+2)(x-7) is greater than or equal to 0
const2013 [10]

Answer:

greater

Step-by-step explanation:

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3 years ago
Enter a negative number that is greater than -8
Art [367]

Answer:

-7

Step-by-step explanation:

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