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3 years ago

Which is the best approximation for the measure of angle ABC?

1 answer:

3 0

We can find the approximate measurement of angle ABC and it is equal to 180°. The summation of all angles in a triangle is 180°.
Solving for x or angle B, we need to used Pythagorean theorem and SOH CAH TOA.
Solving for angle A:
sinA = 10.5/20
A = 31.67°

Solving for angle B:
180° = ∠C + ∠B + ∠A
180° = 90° + ∠B + 31.67
∠B = 58.33°

The x value is 58.33°.

You might be interested in

If the risk-free rate is 7 percent, the expected return on the market is 10 percent, and the expected return on Security J is 13

Lelu [443]

Answer:

0.02 or 2% = Beta

Step-by-step explanation:

Given that,

Risk-free rate = 7 percent

Expected return on the market = 10 percent

Expected return on Security J = 13 percent

Therefore, the beta of Security J is calculated as follows;

Expected return on Security J = Risk-free rate + Beta (Expected return on the market - Risk-free rate)

13 percent = 7 percent + Beta (10 percent - 7 percent)

0.13 - 0.07 = 0.03 Beta

0.06 = 0.03 Beta

0.06 ÷ 0.03 = Beta

0.02 or 2% = Beta

6 0

3 years ago

A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?

alexandr1967 [171]

Answer:

it would be a triangle

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Catherine paid $159.00 for an MP3 player. If the price paid includes a 6% sales tax, which of the following equations can be use

Colt1911 [192]

<u>ANSWER: </u>

The equation is y = 1.06x, so option D is correct.

<u>EXPLANATION:</u>

Given:

Amount Catherine is paid for an MP3 player=$159.00

The price paid includes a sales tax= 6%

To find:

Equations that can be used to determine the price of the MP3 player before tax?

Solution:

Now, we know that, total cost = selling price of item + sales tax on item

y = x + 6% of x

y = x + $\frac{6}{100}x$

y = x + 0.06x

y = 1.06x

Hence, the equation is y = 1.06x, so option D is correct.

7 0

3 years ago

A researcher reports the following confidence interval for a comparison of the difference between two groups: 95% CI −12.0 [−30.

Lapatulllka [165]

Answer:

Decision: Support the null hypothesis.

Sample mean: -12

Step-by-step explanation:

Hello!

When deciding with a Confidence interval you have to keep in mind that the following conditions are met:

The hypothesis and the interval are made for the same parameter.
The hypothesis should be two-tailed.
The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.

If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.

The intervals to estimate the population mean have the following structure:

Estimator ± Margin of error

This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:

sample mean: $\frac{Upper bound + Lower bound}{2}$

sample mean: $\frac{6 + (-30)}{2}$

sample mean: -12

I hope it helps!

7 0

4 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 63.2 in, and a standard deviation given by

JulijaS [17]

a. Your answer is correct.

b. Divide the given value of sigma by √n where n = sample size = 7. Then perform the same calculation you did for part a. The probabiilty is 0.4427.

8 0

4 years ago