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kondaur [170]
2 years ago
11

Calculate the area of the regular pentagon below:

Mathematics
2 answers:
Neko [114]2 years ago
8 0

Answer:

532.4 in²

Step-by-step explanation:

The area (A) of the regular pentagon is calculated as

A = 0.5 × perimeter × apothem

Perimeter = 5 × 17.6 = 88 in

The apothem is the segment from the centre to the midpoint of one of the sides.

Here the apothem = 12.1 in, thus

A = 0.5 × 88 × 12.1 = 44 × 12.1 = 532.4 in²

Anna [14]2 years ago
3 0

Answer:

1064.8 in^2

Step-by-step explanation:

12.1 x 17. 6 / 2 to find one half of a triangle will equal 106.48

there are 10 triangle therefore 106.48 x 10 = 1064.8

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the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base
Otrada [13]

Solution:

<u>Note that:</u>

  • Area of triangle = 6 3/8 yd²
  • Height of triangle = 2 1/2
  • Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

  • 1/2 x base x altitude = 6 3/8 yd²
  • => 1/2 x base x 2 1/2 = 6 3/8 yd²
  • => 1/2 x base x 5/2 = 6 3/8 yd²
  • => 5/4 x base = 6 3/8 yd²
  • => base = 6 3/8 ÷ 5/4 yd
  • => base = 51/8 x 4/5 yd
  • => base = 51/2 x 1/5 yd
  • => base = 51/10 yd

The length of the base is 51/10 yards.

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7 0
3 years ago
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max2010maxim [7]
The correct answer is water
8 0
3 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
alexdok [17]
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 2 + 3x + 6 = 180
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Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A

The measure of angle A is 135 degrees.

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A bag contains 12 red marbles The ratio of red marbles to blue marbles is 4:3?
Ostrovityanka [42]

There are 9 blue marbles.

Step-by-step explanation:

12÷4=3

3×3=9

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