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kap26 [50]
3 years ago
12

Find sin A and sec B given a=2 b=11

Mathematics
2 answers:
zalisa [80]3 years ago
8 0

Answer:

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{5\sqrt5}{11}

Step-by-step explanation:

Given: a=2,b=11

Using pythagoreous theorem:

c^2=a^2+b^2

c^2=11^2+2^2

c=5\sqrt{5}

Trigonometric Identities:

\sin \theta=\dfrac{\text{Opposite}}{\text{Hypotenuse}}

\sin A=\dfrac{a}{c}

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{c}{b}

\sec B=\dfrac{5\sqrt5}{11}

Hence, The value of trigonometric identity

\sin A=\dfrac{2}{5\sqrt5}

\sec B=\dfrac{5\sqrt5}{11}

Sonbull [250]3 years ago
7 0
If there is a triangle with Sid a and b then sina b/✓a2+b2and seven=✓a2+b2/a
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There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro
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Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that \mu = 20.1, \sigma = 5.1.

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

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The composite score on Exam B is approximately normally distributed with mean 1031 and standard deviation 215.

This means that \mu = 1031, \sigma = 215.

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You had a better Z-score on exam A, so you did better on that exam.

The correct answer is:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

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3 years ago
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Yuki888 [10]

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NISA [10]

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Step-by-step explanation:


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