Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
Answer:
y=-2/3x-1
Step-by-step explanation:
Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
Answer:
a. is 5
c. is 3
e. is 6
b. is 1
d. is 4
f. is 2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
If all of the dimensions of the tank are doubled, since we live in three dimensions, the volume of the new tank will be
times as large.
feet, or answer choice A. Hope this helps!