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3 years ago

Twice the difference of a number and 9 equals 5.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

if the number is x then you know 2x-9=5

2x=14

x=7

so the number is 7

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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

7 0

3 years ago

What is the end behavior of f(x)?

Alex

Answer:

no seeeeeeeeeeeee

6 0

3 years ago

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which t

Sidana [21]

<h3>Answer: 5 < x < 21</h3>

Explanation:

Let x be the length of the third side. We can't find the exact value of x, as we don't have enough info, but we can find possible values for x.

The lower boundary for x is 13-8 = 5. It must be larger than this value.

At the same time, x must be smaller than 13+8 = 21 as well.

So x > 5 and x < 21 becomes 5 < x < 21

In short, x is between 5 and 21. It cannot equal either endpoint.

3 0

3 years ago

What is 37 and 1/2 simplified?

yarga [219]

37 and 1/2 could mean:
37+ (1/2)
37 times 1/2

37+1/2=37 and 1/2 or 37.5

37 times 1/2=37/2=18 and 1/2=18.5

3 0

4 years ago

**100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in

Shalnov [3]

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

5 0

4 years ago