The base of a pyramid is a rectangle with a width of 4.6 cm and a length of 9 cm. What is the height, in centimeters, of the pyramid if its volume is 124.2 cubic cm?

9 cm

Step-by-step explanation:

The volume of a pyramid is calculated by the formula:

Volume = (Length * Width * Height ) / 3

Filling in the details from the question will give:

124.2 = (9 * 4.6 * h) / 3

Solve for h:

9 * 4.6 * h = 124.2 * 3

41.4h = 372.6

h = 372.6 / 41.4

h = 9 cm

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2