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USPshnik [31]
3 years ago
12

A man walks 5 feet, turns 20 degrees and then walks another 10 feet. How far is the man from where he started? Round your answer

to the nearest tenth of a foot.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

About 14.8 ft

Step-by-step explanation:

This is a triangle. A man walks one direction, turns, and walks another direction. The question asks for you to find the distance, which is the hypotenuse side. This makes our triangle (see attachment 1)

Since this is not a right triangle, we will use law of cosines.

We are given 2 sides and an angle. However, 20 degrees is the exterior angle. To find the interior angle (green theta), we have to do a calculation:

180-20=160 degrees. This is green theta.

Now, we have all we need to use law of cosines. (see attachment 2)

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Oksanka [162]

Answer:

The null and alternative hypotheses are:

H_{0}:\mu=75

H_{a} : \mu>75

Under the null hypothesis, the test statistic is:

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Where:

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\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }

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Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

t_{critical} =2.821

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

7 0
3 years ago
A rectangle prism is shown below. What is the volume of the prism?
8_murik_8 [283]
I can help with the formula just do the math on a calculator you multiply length x width x height
8 0
3 years ago
Full Year - Williams
abruzzese [7]

Answer:

8,640 ft^2

Step-by-step explanation:

There are 144 square inches per square foot, therefore 144x60=8,640 ft^2

6 0
3 years ago
2.6-,2.061,2.601,2.34,2.7 order the following from least to greatest
kondaur [170]

Answer:

2.061, 2.34, 2.6, 2.601, 2.7

Step-by-step explanation:

Hello!

This is a bit hard to explain! If you want me to try, just comment.

I have arranged the sequence in ascending order below:

2.061,\:2.34,\:2.6,\:2.601,\:2.7.

Hope this helps!

4 0
2 years ago
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4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
m_a_m_a [10]

Answer:

height 3 inches

Step-by-step explanation:

h = V/LW = 45/3x5 = 3 inches

8 0
3 years ago
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