<h3>
Solution:</h3>
<u>A few tips...</u>
- Pythagoras theorem can ONLY be used in right triangles.
- Usually, the longest side is the hypotenuse.
Option A:
- 6² = 5² + 4²
- => 36 = 25 + 16
- => 36 ≠ 41
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
Option B:
- 50² = 40² + 30²
- => 2500 = 1600 + 900
- => 2500 = 2500
The <u>side lengths</u> given are <u>possible</u> for a right triangle.
Option C:
- 30² = 20² + 10²
- => 900 = 400 + 100
- => 900 ≠ 500
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
Option D:
- 4² = 3² + 2²
- => 16 = 9 + 4
- => 13 ≠ 16
The <u>side lengths</u> given are <u>not possible</u> for a right triangle.
<h3>In conclusion...</h3>
5/8 is a rational number because 5/8 as a percentage is 62.5. As long as the number doesn't go on forever without any patterns, it will be a rational number. If it does go on forever and doesn't have a pattern then it is an irrational number.
The quotient of 3589 ÷ 18 is 199.388. The first digit is the hundreds place
2.77 × 10 ^ ( -3 ) is the answer
Step-by-step explanation:
2^-6 = 1/2^6 = 1/64
1/64 * 1/13 = 1/832
