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1 answer:
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Answer:
Where "h" is the height of the building.
Step-by-step explanation:
For this exercise it is important to read and analize carefully the information provided.
According to the data given in the exercise, the height of each floor the arquitect is designing is 12 feet.
You want to know the number of floors of 12 feet tall that building can have for a given building height.
Then, you can let "h" represents the height of the building. This will be the variable in the expression.
In order to find the number of those floors that the building can have for "h", you need divide this height by the height of each floor.
Therefore, you can determine that the expression asked in the exercise is the following:
Where "h" is the height of the building.
9514 1404 393
Answer:
252.8 cm²
Step-by-step explanation:
The missing side of the right triangle can be found from the Pythagorean theorem:
s² = 20² -16² = 400 -256 = 144
s = 12 . . . . cm
The area of a right triangle is more easily found using the traditional area formula:
A = 1/2bh
A = 1/2(12 cm)(16 cm) = 96 cm² (left-side triangle)
The area of the triangle on the right can be found from Heron's formula. The semiperimeter is ...
s = (16 +20 +23)/2 = 29.5
The area is ...
A = √(29.5(29.5 -16)(29.5 -20)(29.5 -23)) = √(29.5·13.5·9.5·6.5)
A = √24591.9375 ≈ 156.818 . . . . . cm² (right-side triangle)
Then the total area of the figure is ...
A = 96 cm² +156.818 cm² = 252.818 cm² . . . . total area
