Answer:
∠WVU = 67°
Step-by-step explanation:
∠WVU = 1/2(arc WV)
8x + 11 = 1/2(15 + 17x)
8x + 11 = 7.5 + 8.5x
subtract 7.5 and 8x from each side of the equation:
0.5x = 3.5
multiply both sides by 2:
x = 7
∠WVU = 8(7) + 11 = 67°
proof:
arc WV = 15 + 17(7) = 134° which is 2 x 67°
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
If their are 32 kids and their are 8 slices in a pizza then just divide 32 by 8 and you get 4. 4 pizzas for each student to get 1 slice each.
Step-by-step explanation:
We have,
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :
......(1)
Part (a) :
The maximum height reached by the ball is given by :

Part (b) :
The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

Answer:
The area is 
Step-by-step explanation:
I assume that the figure is a square
The area of a square is equal to

where
b is the length side of the square
In this problem we have

substitute in the formula

