Answer:
60 slices
Step-by-step explanation:
1 pizza = 10 slices
6 pizzas = 10 slices * 6 = 60 slices
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer: Micheal's average Speed =6.885 miles per hour
Step-by-step explanation:
Speed= Distance /time
Given the distance he ran as = 5 1/4 miles
And Time taken = 45 3/4 minutes
changing to hours becomes
60 mins = 1 hour
45 3/ 4 mins = 45 3/4 mins/ 60mins x 1hour
= 45.75 /60 = 0.7625hours
Therefore Micheal's average Speed= Distance /time
=5 1/4miles / 0.7625hours = 5.25/ 0.7625
=6.885 miles per hour
approximately 7 miles/hour.
Answer:
Step-by-step explanation:
The area of the parallelogram is the product of its base length and height, (12 ft)*(12 ft) = 144 ft^2.
The area of the cutout is the product of its base length and height, (6 ft)*(8 ft) = 48 ft^2.
The shaded area is the area of the parallelogram less the area of the cutout,
144 ft^2 -48 ft^2 = 96 ft^2.
