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GarryVolchara [31]
3 years ago
14

Given with a = 22, b = 17, and c = 19, find . round the cosine value to the nearest thousandth and answer to the nearest whole d

egree.
Mathematics
1 answer:
Firdavs [7]3 years ago
3 0
Assuming all angles are to be calculated.
Using the cosine rule:
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
substitute values,
cos(A)=(17^2+19^2-22^2)/(2*17*19)=83/323=0.25697
A=75.11 degrees
similarly
cos(B)=(19^2+22^2-17^2)/(2*19*22)=139/209=0.66507
B=48.31 degrees
cos(C)=(22^2+17^2-19^2)/(2*22*17)=103/187=0.55080
C=56.58 degrees
Check: (75.11+48.31+56.58)=180.00 degrees, ok.

Note:
1. Better accuracy than required is calculated for a more accurate check.  You need to round answers to the specified accuracy.
2. In fact, not all tables are made from formulas.  Some tables are compiled by experimentation and require hundreds and thousands of man-years to complete (e.g. steam tables).
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235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each gr
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Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

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G = 270/3 = 90

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The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

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How do you find DE, Round to nearest 10th
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Answer:  DE\approx6.0

Step-by-step explanation:

Observe in the figure given in the exercise that four right triangles are formed.

In this case you can use the following Trigonometric Identity to solve this exercise:

cos\alpha=\frac{adjacent}{hypotenuse}

From the figure you can identify that:

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Then, you can substitute values:

cos(53\°)=\frac{DE}{10}

The next step is to solve for DE in order to find its value. This is:

10*cos(53\°)=DE\\\\DE=6.01

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DE\approx6.0

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