THEOREM:
- h² = p² + b² where h is hypotenuse, b is base and p is perpendicular.
ANSWER:
[3] By pythagorean theorem,
- x² = 14² + 9²
- x² = 196 + 81
- x² = 277
- x = √277
- x = 16.64 rounded.
[4] By pythagorean theorem,
- x² = 32² + 24²
- x² = 1024 + 576
- x² = 1600
- x = √1600
- x = 40.
[5] By pythagorean theorem,
- (2x)² = 21² – 12.6²
- 4x² = 441 – 158.76
- 4x² = 284.24
- x² = 284.24/4 = 70.56
- x = √70.56
- x = 8.4
[6] By tangent property,
- 7x – 29 = 2x + 16
- 7x – 2x = 16 + 29
- 5x = 45
- x = 9.
So, WX = 7(9) – 29 = 63 – 29
Total students = 1295
Number of women = 714
Percentage of women = 714/1295 x 100 = 55.14%
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Answer: 55.14% of the students are women.
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The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.
<h3>What are the side lengths of the first triangle?</h3>
The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:
- 5 inches + 5 inches + 4 inches + 4 inches
<h3>What are the side lengths of the new triangle?</h3>
5 inches x 4 = 20 inches
4 iches x 4 = 16 inches
<h3>What is the new perimeter?</h3>
20 + 20 + 16 +16= =72 inches
Learn more about perimeter in: brainly.com/question/6465134
