Answer:
The answer is A
Step-by-step explanation:
The identity property of addition simply states that when you add zero to any number, it equals the number itself.
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
6 weeks
Step-by-step explanation:
Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.
7 X <u>6</u> = 42
Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.
Amount of weeks X amount of tests per weeks = 42 quizzes
<em>x </em>X 7 = 42
42/7 = 6
Keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then
subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.
