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4 years ago

Please help,find each acute angle measure , to the nearest degree

Mathematics

2 answers:

Luda [366]4 years ago

5 0

SOH CAH TOA

13. cosP = (A/H)
cosP = (8 ÷ 18)
cosP = (4/9)
P = cos^-1(4/9)
P = 63.61220004
Answer: 64

14. sinQ = (O/H)
sinQ = (8 ÷ 18)
sinQ = (4/9)
Q = sin^-1(4/9)
Q = 26.38779996
Answer: 26

15. sinU = (O/H)
sinU = (11 ÷ 15)
cosU = (11/15)
U = sin^-1(11/15)
U = 47.16657193
Answer: 47

16. cosW = (A/H)
cosW = (11 ÷ 15)
cosW = (11/15)
W = cos^-1(11/15)
W = 42.83342807
Answer: 43

Phoenix [80]4 years ago

3 0

As shown , using trigonometry, sine and cosine will solve all the problems. remember, soh cah toa.
Sine is opposite over hypotenuses.
Cosine is adjacent over hypotenuses.
And tangent is opposite over adjacent.

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3 years ago

If x = 9 units and h = 5 units, then what is the area of the triangle shown?

Colt1911 [192]

Answer:

The answer is D, 22.5 sq. Units

Step-by-step explanation: This is because to get the area of a triangle you multiply b x h and then divide by two. So 9 times 5 = 45. Then you divide by two and 45 ÷ 2 = 22.5

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3 years ago

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Rainbow [258]

Answer:

1.12 is the sales tax

Step-by-step explanation:

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3 years ago

Write an equation parallel to the x-axis through the point (-3,6)

Nikitich [7]

Answer:

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3 years ago

Final numeric grades in a certain course are normally distributed with a mean of 72.3 and a standard deviation of 6.4. The profe

Dimas [21]

Answer:

The minumum numeric grade you have to earn to obtain an A is 81.29.

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:

$\mu = 72.3, \sigma = 6.4$

The professor curves the grades so that the top 8% of students will receive an A. What is the minumum numeric grade you have to earn to obtain an A?

The minimum numeric value is the value of X when Z has a pvalue of 1-0.08 = 0.92. So it is X when Z = 1.405.

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

$1.405 = \frac{X - 72.3}{6.4}$

$X - 72.3 = 1.405*6.4$

$X = 81.29$

The minumum numeric grade you have to earn to obtain an A is 81.29.

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3 years ago