Arectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. find its volume. a. 21 ft3 b. 42 ft3 c. 28 ft3 d. 84 ft3

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = , where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V =

V = 28 ft³

18.75 gallons

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).