Geometry HELP PLEASE and explain how I can get it

Mathematics

1 answer:

Vika [28.1K]3 years ago

7 0

Please check the attached image for answer.

<em>By </em><em>Benjemin</em>

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Write the expression as the sine, cosine, or tangent of an angle. cos 107° cos 42° + sin 107° sin 42°

7nadin3 [17]

Let a =107° and b=42°;

So cos 107° cos 42° + sin 107° sin 42° = cosa.cos42 + sina.sinb = cos(a-b)

and cos 107° cos 42° + sin 107° sin 42° = cos(107-42) = cos(65°)

8 0

4 years ago

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Simplify -10x - x plzzzz help

Marta_Voda [28]

hi <3

this is a lot simpler if you just ignore the variable (basically the letter)

now you have -10 - 1

which gives you -11

now just add back on the variable to give you your answer of:

-11x

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3 years ago

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 72.3, \sigma = 8.9$