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damaskus [11]
2 years ago
14

A triangular plaque has side lengths of 8 inches, 13 inches, and 15 inches.

Mathematics
1 answer:
lianna [129]2 years ago
6 0
<h3>Answer:  A) 52 square inches</h3>

==========================================================

Explanation:

a = 8, b = 13, and c = 15 are the sides of the triangle

s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.

Those values are then plugged into Heron's Formula below

A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\

The triangular plaque has an area of approximately 52 square inches.

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The total number of possibilities is 3*2 = 6.

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7 0
2 years ago
WHICH RATIO SHOW PORTION FORM WITH 25/28 BY WRITING IN LOWEST FORM
miss Akunina [59]
25/28

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8 0
3 years ago
11
BaLLatris [955]
<h3>Answer:</h3>

x=30

<h3>Solution:</h3>
  • First, use the distributive property:
  • 8x-3(2x-4)=3(x-6)
  • 8x-6x+12=3x-18
  • Simplify:
  • 2x+12=3x-18
  • 2x-3x=-12-18
  • -x=-30
  • x=30

Hope it helps.

Do comment if you have any query.

8 0
2 years ago
12. Determine the area of the shaded region. 12 in 12 in​
vekshin1

Answer:

  • 216/7 in²

Step-by-step explanation:

<u>We know that:</u>

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

<u>Solution:</u>

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
  • => Area of shaded region = 144 x 7/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²
3 0
2 years ago
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