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3 years ago

4/5/10 in simplest form

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Your answer is 4 1/2 your welcome

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schepotkina [342]

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4 years ago

What is 4(2-x)/5-10=-2

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4 years ago

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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

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

Lady bird [3.3K]

Answer:

Step-by-step explanation:

The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.

find the value of x

x + 2x + x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 : 4

x = 43

find angles

2x = 43 * 2

2x = 86°

-------

x = 43°

--------

x + 8 = 43 + 8

x = 51°

-----------------------

check

86 + 43 + 51 = 180°

the answer is good

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2 years ago