Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
Answer:
4.5
Step-by-step explanation:
I believe it is the first once because if a means the amount of apples and $1.75 is the amount paid for 1 apple, this answer would be correct.
Answer:
x⁵
Step-by-step explanation:
![\sqrt[3]{x^{15}} = x^{\frac{15}{3} }=x^5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B15%7D%7D%20%3D%20x%5E%7B%5Cfrac%7B15%7D%7B3%7D%20%7D%3Dx%5E5)
