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3 years ago

Find the exact value of the expression. Sin 265 cos 25 - cos 265 sin 25

1 answer:

4 0

Answer:

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=-\frac{\sqrt{3}}{2}$

Step-by-step explanation:

Recall that;

$\sin(A) \cos(B)-\sin(B) \cos(A)=\sin(A-B)$

This implies that;

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=\sin(265\degree-25\degree)$

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=\sin(240\degree)$

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=\sin(180\degree+60\degree)$

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=-\sin(60\degree)$

$\sin(265\degree) \cos(25\degree)-\sin(265\degree) \cos(25\degree)=-\frac{\sqrt{3}}{2}$

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mel-nik [20]

Answer:

x° = 11°

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Step-by-step explanation:

If GH bisects Z FGI

then Z FGH = Z HGI

  or, (3x - 3)° = (4x - 14)°

or, 3x° - 4x° = - 14° + 3°

or, x° = 11°

Z FGI = 33° - 3° + 44° - 14°

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2 years ago

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3 years ago

You scored an 85 on a test. This corresponds to a z-score of 1.80. What percentage of the scores are better than yours?

Scrat [10]

At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.

<h3>What is a z-score?</h3>

In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

<h3>How to determine the percentage?</h3>

Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:

Z-score = (x - μ)/σ

Where:

x represents the sample score.
σ represents the standard deviation.
μ represents the mean score.

Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:

P(x > 85) = P(z > 1.80)

P(z > 1.80) = 0.0359

P(z > 1.80) = 3.59%.

Read more on z-scores here: brainly.com/question/26714379

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9 months ago