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VLD [36.1K]
4 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]4 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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All whole numbers are integers, and all integers are also whole numbers.
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Read 2 more answers
(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each
den301095 [7]

Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years

... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)

... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values

... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P

They should deposit $110.37 at the beginning of each month.

6 0
3 years ago
8. Solve for x.<br> 28°<br> X
Lerok [7]

Answer:

if X is the angle degree like I think it is, then X = 56 degrees

Step-by-step explanation:

isosceles triangles will have 2 equal base angles.

90 degree angle - 28 = 62°

62 is now each base angle.

62 times 2 angles equals 124

the final angle, x, is 180 - 124 = 56°

8 0
2 years ago
Use braces and digits to indicate the set of whole numbers
Sergeeva-Olga [200]

Whole numbers are numbers without decimal points greater than 0.

The set of whole numbers is:

W =\{0,1,2,3,4.....\}

In the introductory part of this solution, I stated that:

  • Whole numbers do not have decimal point
  • The smallest whole number is 0

This means that the following numbers are whole numbers:

1, 9, 10, 67

While the following numbers are not:

-1, 9.0, 1.0, -67

Let W be the set of whole numbers; the set is:

W =\{0,1,2,3,4.....\}

The dots after 4 means the set still continues

Read more at:

brainly.com/question/13106807

4 0
3 years ago
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