4 years ago

Lines c and d are parallel in this diagram

Mathematics

1 answer:

ahrayia [7]4 years ago

6 0

The answer is 39 degrees.

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Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie

vlada-n [284]

Recall the double/half angle formulas:

$\cos^2\dfrac x2=\dfrac{1+\cos x}2$

$\sin^2\dfrac x2=\dfrac{1-\cos x}2$

We're given $\sin u=\frac{24}{25}$ , and since $u$ is between π/2 and π, we expect $\cos u$ to be negative. So from the Pythagorean identity, we find

$\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}$

Also, we know $\frac u2$ will fall between π/4 and π/2, so both $\sin\frac u2$ and $\cos\frac u2$ will be positive. Then we find

$\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35$

$\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45$

and it follows that

$\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43$

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4 years ago

If f(1) = 8 and f(n) = 2f(n − 1) then find the value of f(5).

Andrei [34K]

2f(2Answer:

Step-by-step explanation:

f(1)=8

f(2)= 2(8) = 16

f(3) = 2(16) = 32

f(4) = 2(32) = 64

f(5) = 2(64) =128

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3 years ago

What is the greatest common factor of 8x and 40y? 5 5xy 320 320xy

Gnesinka [82]

Answer:

Step-by-step explanation:

It's none of those. It is 8, because 8 is a factor of 40 ( and of 8 of course).

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3 years ago

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Prt.3 identify the slope

andreyandreev [35.5K]

Answer:

m = - 2

Step-by-step explanation:

First coordinate : ( -2 , 9 )

Second coordinate : ( 1 , 3 )

Formulae : m=(y2-y1)/(x2-x1)

Substituting,

m = ( 3 - 9 ) / ( 1 + 2 )

m = - 6 / 3

m = - 2

If this helps you, please mark brainliest!

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3 years ago

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Whic

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I just answered this, its y = 63x

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3 years ago

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