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GarryVolchara [31]
2 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]2 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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Answer:

\bar X = \frac{8+11+17+7+19}{5}= 12.4

And the can be founded with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367

And rounded to the nearest tenth we got s= 5.4

Step-by-step explanation:

For this case we have the following data given:

8, 11, 17, 7, 19

The first step is calculate the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{8+11+17+7+19}{5}= 12.4

And the deviation can be founded with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}

And replacing we got:

s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367

And rounded to the nearest tenth we got s= 5.4

7 0
3 years ago
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If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
vlada-n [284]

Answer: c) 27:8

Step-by-step explanation:

As volume of cube is side^3

volume of cube with side 2a is 8.a^3

volume of cube with side  3a is 27.a^3

ration of volumes is 27:8

3 0
2 years ago
If the simple interest on ​$4000 for 2 years is ​$400​, then what is the interest​ rate?
ivanzaharov [21]

Step-by-step explanation:

the answer is 5 percentage because the formula is 100 * 400 over 4000 * 2

6 0
2 years ago
Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of f
nika2105 [10]

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = ^{6}P_3

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

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