Answer:
129
Step-by-step explanation:
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Answer:

Step-by-step explanation:
We want to write the trignometric expression:

As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:

Take the secant of both sides:

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

By substitutition:

Using an double-angle identity:

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

Simplify. Therefore:

If you add Hillary to the friend count, that's 24. So there are 16 boys and 8 girls
Answer:
12
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2+ b^2=c^2
In our case, we know b, which is 5 and c which is 13.
If we plug that into the equation, we get a^2+ 5^2 = 13^2
Next, we simplify the equation. a^2 + 25 = 169
Then we subtract 25 from 169. 169 - 25 = 144.
Lastly, we do the square root of 144 and we get 12 which is the missing side.
Answer:
probability of landing on a number greater than 2 on the spinner.
Step-by-step explanation:
A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question:
8 possible outcomes(all numbers from 1 to 8).
6 desired outcomes(3, 4, 5, 6, 7 and 8, that is, all the numbers greater than 2). So

probability of landing on a number greater than 2 on the spinner.