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VLD [36.1K]
3 years ago
12

different sizes of regular pentagons are used in a stained glass window.each small pentagon has side lengths of 4 inches and an

area of 27.5 square inches.each large pentagon has a side lengths of 8 inches.what is the area of each large pentagon?
Mathematics
1 answer:
Liula [17]3 years ago
7 0
The goal is to find the area of a pentagon with side length 8.

We can find the area of a pentagon very easily by splitting it up into 10 congruent right triangles with the apothem as the height. The base of one of these triangles would be 4. The base angle would be 54 degrees, because it's half of the angle of a regular pentagon.

Using trig we find that the height of this triangle/apothem of the pentagon is equal to 4tan(54 degrees), which is about 5.506.

The area of a triangle is bh/2, so...4*5.506/2 = 11.011 in².
Times 10 triangles is 110.11 in².

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The side lengths are 9cm, 6cm, 10cm, 5cm, 4cm, and 4cm.

So the perimeter is the following...

Perimeter = 9 + 6 + 10 + 5 + 4 + 4 = 38cm total
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3 years ago
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fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

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3 years ago
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Hence, correct option is k=\frac{p}{2x^{2} }.

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Answer:

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Step-by-step explanation:

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