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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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Step-by-step explanation:

ascending order from the smallest to the largest

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Help asap worth 50 points<br> Use grouping symbols to make each equation true.<br> 16-4/2+3=9
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2 years ago
The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
Lena [83]

Answer:

  22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

   z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

  n = kad

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Now, we can fill in the other values of interest.

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You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

8 0
3 years ago
Raisins, almonds, and sunflower seeds are sold together in packages of 350 g.
frosja888 [35]

Answer:

124.9g approximately 125g

Step-by-step explanation:

Sum of total ratio= 5+7+2= 14

Mass of Raisins = 5/14 x 350 = 125g

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Total package = 125 + 175 + 50 = 350g.

You're Welcome

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3 years ago
Giving BRAINLIEST for correct awnser! Factor the expression below.
melomori [17]

Answer:

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Step-by-step explanation:

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We know this is the difference of squares

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(6a - 5b) (6a+5b)

6 0
4 years ago
Read 2 more answers
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