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marysya [2.9K]
3 years ago
8

A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is

the area of the pentagon if theta=54 degrees? Round to the nearest foot.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
We assume that the dimension 5 has units of feet.

The area of each triangle will be
  A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
  A = (1/2)(2×5 ft)(5 ft)(tan(54°)
  A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
  total area = 5×25×tan(54°) ft² ≈ 172 ft²

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Two numbers total 10, and there difference is 12. Find a smaller of the two numbers.
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Answer:

There doesn't seem to be numbers to answer that, do you have the question right? If it was a difference of 18, for example, the numbers would be 64 and 36.

Step-by-step explanation:

Find 2 numbers that added together, equal 10.

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Then subtract them by their opposites. Find the numbers with the difference of 12.

91 - 19 = 72

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64 - 46 = 18

55 - 55 = 0

46 - 64 = -18

37 - 73 = -36

28 - 82 = -54

19 - 91 = -72

There is no numbers with the difference of 12.

If it was a difference of 18, for example, the numbers would be 64 and 36.

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