Answer:
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Step-by-step explanation:
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You have to multiply each term by everything. For example if you have, (5z-6)(2z-4) the distributive property can be written out to help show what you have to do, if you write it as a step it would be 5z(2z-4)-6(2z-4). I hope this helps, good luck!
Let the constant be k.
For an inverse squared proportion the formula is y = k/x^2
Insert values of y and x into the formula.
3 = k/(-4)^2
3(-4)^2 = k
k = 3(16)
k = 48
Hope this helps. :)
Answer:
- building: 222.61 ft
- flagpole: 32.15 ft
Step-by-step explanation:
The tangent function of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Here, the adjacent side is 500 ft, so we have ...
tan(24°) = (building height)/(500 ft)
building height = (500 ft)tan(24°) ≈ 222.61 ft
__
Similarly, the height to the top of the flagpole is ...
total height = (500 ft)tan(27°) ≈ 254.76 ft
The length of the flagpole is the difference of these heights:
flagpole length = 254.76 ft -222.61 ft = 32.15 ft
The height of the building is 222.61 ft; the length of the flagpole is 32.15 ft.
