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1 answer:
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Answer:
9.
10. B = 16 ft, H = 15 ft
11.
Step-by-step explanation:
<u>Area Of The Triangle </u>
(9)
The area of a triangle of base length B and height H is
provided the base and height are perpendicular to each other
(10)
The dimensions of the given triangle are not the ones needed to compute its area. We need to calculate the height of the triangle, and we have the hypotenuse of one of the identical right triangles. To find the height, we must apply Pythagoras's theorem:
Note the length of one leg of the triangle is half the length of the base. We need to solve for H:
Thus
(11)
Now we compute the area of the triangle
Answer:
32.9 mpg
Step-by-step explanation:
Population mean (μ) = 25.5 mpg
Standard deviation (σ) = 4.5 mpg
Assuming a normal distribution for gasoline use, the manufacturer wants his car to be at the 95-th percentile of the distribution. The 95-th percentile has a corresponding z-score of 1.645. The expression for the z-score for a given gasoline use rate 'X' is:
The gasoline use rate for the new car must be at least 32.9 mpg