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3 years ago

What is the arc measure, in degrees, of minor arc AC ⌢ on circle P below?

Mathematics

1 answer:

AnnZ [28]3 years ago

5 0

Answer:

174

Step-by-step explanation:

m<APC = 70 + 104

arc measure of AC = 174

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A coin suspected to be unfair. It is flipped 100 times and is heads 77 times. What is the empirical probability that the coin wi

maw [93]

The answer is b.).0.77 I

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3 years ago

(3x4)^4 simplify using power rule

hichkok12 [17]

Answer:

12 to the fourth power

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3 years ago

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

If you have one ace what is the probability that you have a second ace

Basile [38]

The way your question is worded, the probability is zero. One ace is not two aces.

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3 years ago

The number 88 is 44% of what number

castortr0y [4]

Answer:

Your answer is 38.72

Step-by-step explanation: I did not know what it was so i googled it lol. this one was tough! hope it is correct! it is google so i bet it is :)

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4 years ago