**Answer:**

**Step-by-step explanation:**

i think it a

**Answer:**

0.2036

**Step-by-step explanation:**

u = arcsin(0.391) ≈ 23.016737°

tan(u/2) = tan(11.508368°)

**tan(u/2) ≈ 0.2036**

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You can also use the trig identity ...

tan(α/2) = sin(α)/(1+cos(α))

and you can find cos(u) as cos(arcsin(0.391)) ≈ 0.920391

or using the trig identity ...

cos(α) = √(1 -sin²(α)) = √(1 -.152881) = √.847119

Then ...

tan(u/2) = 0.391/(1 +√0.847119)

** tan(u/2) ≈ 0.2036**

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<em>Comment on the solution</em>

These problems are probably intended to have you think about and use the trig half-angle and double-angle formulas. Since you need a calculator anyway for the roots and the division, it makes a certain amount of sense to use it for inverse trig functions. Finding the angle and the appropriate function of it is a lot easier than messing with trig identities, IMO.

**Answer:**

blue

**Step-by-step explanation:**

it is going along with the points. we know it cant be red because that line is negative and the dots are going in a positive direction. we know it cant be pink bc it's not even going in the same direction as the points. so it has to be blue

**Answer:**

a) 1/8

b) 1/9

c) 1/10,000

**Step-by-step explanation:**

When a number is raised to a negative exponent, that means that the answer will be less than one. The format is:

x^-y = 1/x^y (i apologize, exponents on here are really messy)

Ok so for a, you get 1/2^3. 2^3 = 8, so your resulting fraction is 1/8

b). 1/3^2. 3^2 = 9, so your resulting fraction is 1/9

c). 1/10^4. 10^4 = 10,000, so your resulting fraction is 1/10,000.

Sorry fractions and exponents don't work well on my computer. Hope this helps!