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2 years ago

1. Solve for the value of x

Mathematics

1 answer:

Tamiku [17]2 years ago

7 0

Answer:

Explanation:

Line E B C Needs To Equal 180°

Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

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Find the value of tan(sin^-1(1/2))

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If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

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Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

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2 years ago

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DENIUS [597]

Answer:

2 $\sqrt{61}$

Step-by-step explanation:

Look here!

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2 years ago

PLSS HELPPP!!! IN ORDER TO RECIEVE A BRAINLY, ANSWER QUICKLY AND CORRECTLY, AND MOST OF ALL, GIVE AN EXPLANATION!!! TYSM IN ADVA

Natalija [7]

Answer:

A. {−3.5, −2, 1, 2.5}

Step-by-step explanation:

Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:

y=9+6x

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So we just insert the values, the first one being -12.

So since from the options only A has -3.5 as an option that's the correct answer.

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