What is the height of a rectangle prism that has a volume of 192 cubic feet and a base with an area of 48 square feet ? explain your work

4 feet

Step-by-step explanation:

The volume of a rectangle is V = B*h where B is the base area of the prism and h is the height. Substitute V=192 and B = 48 to solve for h, the height.

V = B*h

192 = 48h

192/48 = h

4 =h

The height is 4 feet.

there will be 35 boys in each team. : )

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places