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3 years ago

Find the measures of the angles of a right triangle where one of the two acute angles measure 8 times the otehr.

Mathematics

1 answer:

Goryan [66]3 years ago

8 0

Answer:

Step-by-step explanation:

The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.

<m1 + <m2 + 90 = 180 Subtract 90 from both sides.

<m1 + <m2 + 90 - 90 = 180 - 90 Combine

<m1 + <m2 = 90

Let m1 = 9*m2 Substitute.

9m2 + m2 = 90 Combine

10 m2 = 90 Divide by 10

10m2/10 = 90/10

m2 = 9

m1 = 9*m2

m1 = 9 * 9

m1 = 81

The right angle = 90

m1 = 81

m2 = 9

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Vlada [557]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Problem PageQuestion

krok68 [10]

Answer:

Jennifer's height is 63.7 inches.

Step-by-step explanation:

Let X = heights of adult women in the United States.

The random variable X is normally distributed with mean, μ = 65 inches and standard deviation σ = 2.4 inches.

To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or z-score.

The standardized score of a raw score X is:

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

These standardized scores follows a normal distribution with mean 0 and variance 1.

It is provided that Jennifer is taller than 70% of the population of U.S. women.

Let Jennifer's height be denoted by x.

Then according to the information given:

P (X > x) = 0.70

1 - P (X < x) = 0.70

P (X < x) = 0.30

⇒ P (Z < z) = 0.30

The z-score related to the probability above is:

z = -0.5244

*Use a z-table.

Compute the value of x as follows:

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

$-0.5244=\frac{x-65}{2.4}$

$x=65-(0.5244\times 2.4)$

$=63.7414\\\approx63.7$

Thus, Jennifer's height is 63.7 inches.

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2 years ago

What is the length of latus rectum for (y + 3)^(2)= 12(x - 1)

Oxana [17]

Answer:

12 units

Step-by-step explanation:

The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus $(h+p,k)$ by using the equation $(y-k)^2=4p(x-h)$ for a vertical parabola.