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Len [333]
3 years ago
12

How do you prove #sin 5pi/12 = sin pi/6 cos pi/4 + cos pi/6 sin pi/4#?

Mathematics
1 answer:
choli [55]3 years ago
6 0
You rewrite 5π/12 as  2π/12 + 3π/12 since 2 + 3 = 5.
Then you simplify the fractions into π/6 + π/4.
Then you use the sine addition identity.

sin(5π/12) = sin(π/6 + π/4) = sin <span>π/6 cos </span><span>π/4 + cos </span><span>π/6 sin </span><span>π/4</span>
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What is the distance from point Yto wx in the figure below?
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The distance YZ is sqrt(34^2-30^2)=16

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true

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HELP!?! PLEASE!! Which pair of fractions shows 7/9 and 5/12 correctly converted with their least common denominator?
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Keegan deposits into her savings account at the beginning of the year. The account earns 3% simple interest each year. She has $
fiasKO [112]

Answer:

She deposits $350 into the account at the beginning of the year.

Step-by-step explanation:

Let us assume that Keegan deposits $P into her savings account at the beginning of the year.

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If Keegan did not make any additional deposits or withdrawals during the year.

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3 years ago
Twice the difference of a number and 9 equals 8
ladessa [460]

Answer:

13 is the number.

Step-by-step explanation:

Given:

Twice the difference of a number and 9 equals 8.

Let the unknown number be 'x'.

Therefore, as per question:

The difference of 'x' and 9 = x-9

Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,

2(x-9)

Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,

2(x-9)=8

Solving for 'x', we get:

Using distributive property of addition and distributing 2 inside the bracket. This gives,

2\times x-2\times 9=8\\\\2x-18=8\\\\2x=8+18\\\\2x=26\\\\x=\frac{26}{2}=13

Therefore, the unknown number is 13.

Now, we can verify our answer.

2(13-9)=26-18=8

Therefore, the answer is correct.

3 0
3 years ago
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