A roof has a rise of 5 feet for every horizontal change of 7 feet (see figure). Find the inclination of the roof. Round your answers to one decimal place.
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For an acute triangle, suppose that you know the measures of each angle ,
, and
as well as the lengths a and c for two sides. State the formula that you would use to find the area A of the triangle.
What will be an ideal response?
Given f(x) and g(x), find the composition.f(x) = 4x2 + 4x + 8; g(x) = 4x - 6Find (g ? f)(x).
A. (g ? f)(x) = 4x2 + 16x + 26 B. (g ? f)(x) = 16x2 + 16x + 38 C. (g ? f)(x) = 16x2 + 16x + 26 D. (g ? f)(x) = 4x2 + 4x + 2
Solve the problem.A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card?
A.
B.
C.
D.
Provide an appropriate response.The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day.
A. 0.20 B. 0.65 C. 0.35 D. 0.15