Find the measure of the indicated angle to the nearest degree.

Mathematics

1 answer:

fredd [130]2 years ago

3 0

Step-by-step explanation:

Let the measure of required angle be x degree

$\therefore \tan \: x = \frac{33}{56} \\ \\ \therefore \tan \: x = 0.589285714 \\ \\ \therefore \: x = {\tan}^{ - 1} (0.589285714) \\ \\ \therefore \: x = {\tan}^{ - 1} ( \tan \: 30.510237394 \degree) \\ \\ \huge \red{ \boxed{\therefore \: x = 31\degree}}$

Thus, first option is the correct answer.

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How do i solve this?

Goryan [66]

For this, I got the equation (X+3)^2-2 or X^2+6X+7. I used this method:

First I set up an equation (X+H)^2-K, where (K, H) is the vertex. All we have to do is find where the graph reaches its minimum value (because it opens upwards), then find the x-coordinate that lies there, which is (-2,3). Substituting these value in for H and K, we get the equation <span>(X+3)^2-2 or simplified X^2+6X+7.
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8 0

3 years ago

x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 de

barxatty [35]

Answer:

The standard deviation of this probability distribution is 1.2.

Step-by-step explanation:

We have that:

P(X = 0) = 0.25

P(X = 1) = 0.3

P(X = 2) = 0.1

P(X = 3) = 0.35