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2 years ago

X= Enter the number that belongs in the green box.

Mathematics

1 answer:

Marat540 [252]2 years ago

8 0

<em>72 degrees</em>

<em>When the transversal cuts through, the angles are now the same (I forgot the term).</em>

<h3>I am pretty sure this is the answer! Correct me if I'm wrong!!</h3>

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

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3 years ago

How many 1x1 unit cubes would equal the volume of the figure shown?

motikmotik

D 3500 kk bye now ! :))

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2 years ago

Which fraction has a value that's equal to 7/8

S_A_V [24]

There's a bunch of them like if you simplify you could get 3/4.I'll give you some more.

Examples:14/16 21/24 28/32 and 35/40.

My brain was getting tired to think...but there's more.

Hope this helps :D

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3 years ago

Is this a function. ?

goldenfox [79]

Answer:

Step-by-step explanation:

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2 years ago

Derrick and Sam need 10 pounds of colored gravel for the bottom of their new fish tank. Derrick has 2 pounds of purple gravel an

Sunny_sXe [5.5K]

Answer:

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3 years ago