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Elena L [17]
3 years ago
6

(URGENT) Someone please help I do not get these questions and I only get one try to insert the correct answer. (IF HELPFUL WILL

MARK YOUR ANSWER AS BRAINLIEST)

Mathematics
2 answers:
uysha [10]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

1

Using right ΔBCD and the tangent ratio to solve for BC

tan40° \frac{opposite}{adjacent} = \frac{BC}{20}

Multiply both sides by 20

20 × tan40° = BC

BC ≈ 16.8

----------------------------------------------------

2

Using right ΔABC and the cosine ratio to solve for AB

cos30° = \frac{adjacent}{hypotenuse} = \frac{30}{AB}

Multiply both sides by AB

AB cos30° = 30 ( divide both sides by cos30° )

AB = \frac{30}{cos30} ≈ 34.6

------------------------------------------------------------

3

Using the tangent ratio

tanA = \frac{opposite}{adjacent} = \frac{5}{12}, hence

A = tan^{-1} ( \frac{5}{12} ) ≈ 22.6°

------------------------------------------------------------------

4

Using the sine ratio

sin58° = \frac{4}{x}

Multiply both sides by x

x sin58° = 4 ( divide both sides by sin58° )

x = \frac{4}{sin58} ≈ 4.7

-------------------------------------------------------------

5

Any of the 3 trig ratios may be used here since all 3 sides are given.

Using the tangent ratio

tan58° = \frac{4}{x}

Multiply both sides by x

x tan58° = 4 ( divide both sides by tan58° )

x = \frac{4}{tan58} ≈ 2.5

UkoKoshka [18]3 years ago
3 0

Answer:17x - 6 + 3x - 5 = x + 11 + 4x

Step-by-step explanation:

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A department store has daily mean sales of​ $28,372.72. The standard deviation of sales is​ $2000. On​ Tuesday, the store sold​
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Answer:

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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.

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\mu = 28372.72, \sigma = 2000

On​ Tuesday, the store sold​ $34,885.21 worth of goods. Find​ Tuesday's ​z-score.

This is Z when X = 34885.21

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

Z = \frac{34885.21 - 28372.72}{2000}

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Tuesday z-score was 3.26.

Was Tuesday a significantly good​ day?

A z-score of 3.26 has a pvalue of 0.9994. So only 1-0.9994 = 0.0006 = 0.06% of the day are better than Tuesday.

So yes, Tuesday was a significantly good day.

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3 years ago
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