Robert was able to travel 292.0 miles in 4.000 hours and used 38 liters of gasoline. What was robert's speed in feet per second?

Answer:

c = 13d

Step-by-step explanation:

We begin with:

4d=1/3(c-d)

Expanding this gives:

4d = 1/3c - 1/3d

Adding 1/3d to each side results in:

4d + 1/3d = 1/3c

Combining 4d and 1/3d yields:

12d+d/3 = 1/3c

Then, we simplify to get:

13/3d = 1/3c

To isolate c, we rearrange:

c = 13/3d ÷ 1/3

Which further simplifies to:

c = 13/3d × 3/1

Thus, the final result is:

c = 13d

Answer: The ball starts at a height of 12 feet.

Step-by-step explanation:

The height(h) of the ball, measured in feet, after seconds is modeled by the function .

As height corresponds to time, we can determine that the ball's initial elevation occurs when:

To ascertain the starting height, substitute into the equation:

Thus, the ball's initial height is 12 feet.

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

L = 1.4m