Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:

where r is the radius but L is the slant height.
As you can see in the figure attached:

But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):

Substitute into the formula, then:
units²
0, 3, -2, 8. You go up 8 rungs and you were halfway there so 16.
1)

3)

notice the rate "r"... now, is in decimal format, as you saw on 1) is just r/100 so 1.6% was really 1.6/100 or 0.016 anyhow
to get the percentage form, just multiply it by 100
Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.
Answer:
MK = 23
Step-by-step explanation:
Rectangle means that the angles are all 90 degrees, so all the sides are not tilted in any direction. Meaning the JL = MK, therefore:
2x + 5 = 7x - 40
subtract 5 from both sides
2x = 7x - 45
subtract 7x from both sides
-5x = -45
divide by -5
x = 9
Now input 9 into the equation
MK = 7(9) - 40 = 63 - 40 = 23