Answer:
tan theta = 2 sqrt(5) /15
Step-by-step explanation:
sin theta = opp / hypotenuse
sin theta = 2/7
We can use the Pythagorean theorem to find the length of the adjacent side
a^2 + b^2 = c^2
2^2 +adj^2 = 7^2
4 + adj^2 = 49
adj ^2 = 49-4
adj^2 = 45
Taking the square root of each side
adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)
The tan theta = opp/ adj
tan theta = 2 / 3 sqrt(5)
Multiply by sqrt(5) / sqrt(5)
= 2 sqrt(5) / 3 *5
= 2 sqrt(5) /15
Answer:
a=36
Step-by-step explanation:
because look 0a=a
0a=36
a=36
Due to the higher z-score, the correct option regarding the highest relative score is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
<h3>What is the z-score formula?</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

The z-score measures how many standard deviations the measure is above or below the mean, hence the higher the z-score, the higher the score X is relative to other scores.
The respective z-scores for this problem are given by:
- (1136 - 1080)/67.8 = 0.83.
- (4730 - 3960)/555.5 = 1.39.
Hence the correct option is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
More can be learned about z-scores at brainly.com/question/28096232
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