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yawa3891 [41]
3 years ago
13

I really need help with this, thank you!!!

Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

6. 60°; 7. 5.20; 8. 7.96

Step-by-step explanation:

5. <em>Draw ∆ABC </em>

See Fig. 1 below

6 .<em> Determine m∠C </em>

∠A + ∠B + ∠C = 180

40 + 80 + ∠C = 180

       120 + ∠C = 180     Subtract 120 from each side

             m∠C = 60°

7. <em>Determine a.</em>

By the law of sines,

a/sinA = c/sinC     Multiply each side by sin A

a = c(sinA/sinC)

  = 7 × (sin40/sin60)

  = 7 × 0.6428/0.8660

  = 5.20

8. Determine b.

b/sinB = c/sinC     Multiply each side by sin B

b = c(sinB/sinC)

  = 7 × (sin80/sin60)

  = 7 × 0.9848/0.8660

  = 7.96

Lyrx [107]3 years ago
3 0

Answer:

6. 60°

7. 5.19559

8. 7.96011

Step-by-step explanation:

6. The sum of angles in a triangle is 180°, so the remaining angle is ...

  180° -40° -80° = 60°

7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

  a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559

8. Same explanation as 7.

  b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011  

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The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

  • Sum of X = 554
  • Sum of Y = 4070
  • Mean X = 69.25
  • Mean Y = 508.75
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The regression equation is

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Where:

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Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

Read more about regression at:

brainly.com/question/17844286

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