Bonnie has a container in the shape of a rectangular pyramid. The formula for the surface area of the enclosed space is S = lw + 0.5Ph. Solv

Question

Bonnie has a container in the shape of a rectangular pyramid. The formula for the surface area of the enclosed space is S = lw + 0.5Ph. Solve for P. P = S – lw – 0.5h P = S + lw + 0.5h P = The quantity S minus l times w all divided by 0.5 times h P = S divided by the quantity l times w plus 0.5 times h

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    2021-10-04T12:41:00+00:00

    S = LW + 0.5Ph……subtract LW from both sides
    S – LW = 0.5Ph……divide both sides by 0.5h
    (S – LW) / 0.5h = P

    P = the quantity S minus L times W…all divided by 0.5 times h

    0
    2021-10-04T12:41:38+00:00

    Answer:

    P=\frac{S-lw}{0.5h}

    Step-by-step explanation:

    Our original equation is

    S = lw + 0.5Ph

    The term lw is the farthest from P; subtract it first:

    S-lw = lw+0.5Ph-lw

    S-lw = 0.5Ph

    We want to cancel both the 0.5 and the h; since both are multiplied by P, we can cancel both of them using division at the same time:

    \frac{S-lw}{0.5h}=\frac{0.5Ph}{0.5h}\\\\\frac{S-lw}{0.5h}=P

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