We have given
hypotenuse=<span>6√2
let us suppose leg =a
using Pythagorean theorem
a^2+a^2=(</span><span>6√2)^2
</span>2a^2=36*2
diving by 2 on both sides
a^2=36
taking square root on both sides
√a^2 =<span>√36
a=6
therefore
</span><span>the leg of each isosceles right triangle is 6</span>
The percentile rank of a certain score is the score percentages in its frequency distribution that are equal to it or lower that it.
This means that:
<span>Nancy's percentile rank on a science test was 78. this means that Nancy equaled or surpassed 78% of all those who took the test.</span>
Answer:
14b - 10ab + 34a²b - 64a²b²
Step-by-step explanation:
We have to simplify the expression
2ab + 3b + 7b + 3a × 3a × b + 4b - 8ab × 8ab + 5a × 5a × b - 12ab
= 2ab + 3b + 7b + 9a²b + 4b - 64a²b² + 25a²b - 12ab
{Since (3a × 3a × b) = 9a²b, (8ab × 8ab) = 64a²b² and (5a × 5a × b) = 25a²b}
= 2ab + 10b + 9a²b + 4b - 64a²b² + 25a²b - 12ab
= 14b - 10ab + 34a²b - 64a²b² (Answer)