Taylor has x cats
Staci has x+7 cats
The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides
square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides
square inches.
The total surface area of the prism
square inches.
The surface area of the pentagonal prism is 648 square inches.
Answer:
The height of the plank after the π/3 rotation motion is 8.464 ft
Step-by-step explanation:
The radius of the wheel = 4 ft
The elevation of the bottom of the wheel from the bottom = 1 foot
The angle to which the wheel is rolled = π/3 radians
The height of a rotating wheel is given by the following relation
f(t) = A·sin(B·t + C) + D
Where;
D = Mid line = 4 + 1 = 5 feet
B·t = π/3
C = 0
A = The amplitude = 4
Which gives;
f(t) = 4×sin(π/3) + 5 = 8.464 ft
The height of the plank after the π/3 rotation motion = 8.464 ft.
Answer:
(1/6)
Step-by-step explanation:
3x + 4 = 9x + 3
-3x -3x
4 = 6x + 3
-3 -3
1 = 6x
(1/6)
Answer:
$21.55
Step-by-step explanation:
21.50 + 44.95 + 12 = $78.45
100 - 78.45= $21.55