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puteri [66]
3 years ago
10

Write an expression for the number or floors the building can have for a given building height. Tell what variable in your expre

ssion represents. (Each floor will be 12 feet tall)
Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Answer:

N = H / 12

H: must be in feet

Step-by-step explanation:

Declaring variables:

- Height of each floor L = 12 ft

- Total height of the building is H

- Number of floors in the building N

Developing an expression:

- The number of floors in a building can be determined by the following expression:

                                    N = H / L

                                    N = H / 12

                                   N = 0.08333*H

- it is to be noted that the units of H must also be in ft.

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6 0
2 years ago
Secants L J and L M intersect and form an angle at point L. Solve for x.
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Answer:

x = 14  

Step-by-step explanation:

Assume your diagram is like the one below.

The intersecting secant angles theorem states, "When two secants intersect outside a circle, the measure of the angle formed is one-half the difference between the far and the near arcs."

For your diagram, that means

\begin{array}{rcl}m\angle L &=&\dfrac{1}{2} \left(m \widehat {JM} - m\widehat {PQ}\right)\\\\(3x + 13)^{\circ}& = &\dfrac{1}{2} \left[(8x + 48)^{\circ} - (5x - 20)^{\circ}\right]\\\\3x + 13& = &\dfrac{1}{2}(8x + 48 - 5x + 20)\\\\3x + 13& = &\dfrac{1}{2}(3x + 68)\\\\6x + 26 & = & 3x + 68\\6x & = & 3x + 42\\3x & = & 42\\x & = & \mathbf{14}\\\end{array}

Check:

\begin{array}{rcl}(3\times14 + 13) & = &\dfrac{1}{2} \left[(8\times14 + 48)^{\circ} - (5\times14 - 20)^{\circ}\right]\\\\42 + 13& = &\dfrac{1}{2}(112 + 48 - 70 + 20)\\\\55& = &\dfrac{1}{2}(110)\\\\55 & = & 55\\\end{array}

It checks.

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3 years ago
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