Answer:
Step-by-step explanation:
let base be x and height be 3x
we know area of parallelogram is
base*height
ie x*3x=675
3x^2=675
x^2=675/3
x^2=225
x= square root of 225
x=15
therefore base =15
height = 45
Answer:
if the equation is f(x)=ax^2+bx+c
Step-by-step explanation:
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
Answer:
A. 3 x W - 23
Step-by-step explanation:
Profit is equal to money made minus costs
Let P equal profit. We know the costs were 23, and they made 3 dollars per cookie. If they sold W bags of cookies, the money made is 3*W
P = 3*W - 23
