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djverab [1.8K]
2 years ago
9

3. A children's slide is 10 feet long and inclines 64° from the ground. The

Mathematics
1 answer:
Nata [24]2 years ago
3 0

Answer:

  87.0°

Step-by-step explanation:

The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.

In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°

The ladder makes an angle of about 87° with the ground.

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WHAT IS THE LINE OF BEST FIT FOR THE FOLLOWING DATA (1,3) (2,0) (5,-8) (9, -25) . WRITE YOUR ANSWERS IN THE FORM OF Y= AX+ B​
dimulka [17.4K]

Answer:

3.471 + 7.2516 x

Step-by-step explanation:

Given the data:

(1,3) (2,0) (5,-8) (9, -25) .

X:

1

2

5

9

Y:

3

0

-8

-25

The line of best fit for the data given can be obtained using an online regression calculator :

The equation of best fit for the data is thus;

Best fit equation; y = -3.471 + 7.2516x

Intercept = - 3.471 ;

Slope = 7.2516

5 0
3 years ago
A stock has a price of $58.63. This is $5.92 less than the price of the stock yesterday. Write and solve an equation to find the
inysia [295]

Answer: $52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

4 0
2 years ago
Find the variation constant and an equation of variation where y varies directly as x and y=16 when x=2
Jlenok [28]

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

5 0
3 years ago
Find each measure! Please please help me!!! 40 points!! No files!!!
ANTONII [103]

Answer:

44º

44º

136º

22º

Step-by-step explanation:

If you want i can explain in the comments.

5 0
2 years ago
You conducted a regression analysis between Amount of Wealth in society (x) and the Stock Market Value (y) and the study yielded
Aliun [14]

Answer:

E IS THE CORRECT ANSWER

The R-squared is 0.64 and it means that the dependent value explains 64% of the independent value in the simple regression analysis

Step-by-step explanation:

R-Squared value is a very important indicator in a regression analysis.

What does it measure?

It measures how close to the line of best fit are the data points. How good the fitted line is can be indicated by the value of the r-squared.

The maximum value it can take is 1 and at this value, there is a direct and complete relationship between the independent variable x and the dependent variable y. The value 1 represents an 100% relationship between both parties.

The r-squared has a value of between 0 and 100%. The closer to 100, the better the model while the closer to 100, the more faulty the model is. In fact, a value of 0 indicates no relationship at all between the dependent and the independent variable.

With an R-squared value of 0.64, the regression model works above average to explain that the dependent variable explains 64% of the independent value in the simple regression analysis.

8 0
3 years ago
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