Let x and x+1 represent the consecutive integers, then x is the other leg and x+1 is the hypotenuse (because the hypotenuse must be greater than its sides).
Use Pythagorean Theorem:
a² + b² = c²
(77)² + x² = (x+1)²
5929 + x² = x² + 2x + 1
5928 = 2x
2964 = x
x+1 = 2965
Answer: The other leg is 2964 m and the hypotenuse is 2965 m
P = 2(L + W) ....this is the perimeter of a rectangle
P = 40
L = 5
40 = 2(5 + W)
40 = 10 + 2W
40 - 10 = 2W
30 = 2W
30/2 = W
15 = W <=== ur answer is 15 ft
Answer:
this function has vertical asymptotes at an interval of π.
1/2 cosecx is the answer
To find x:
use the formula: tan° = opposite/adjacent
tan 61° = x/10
answer: 18.0
other length:
use the formula: cos° = adjacent/hypo
cos 61° = 10/y
answer: 20.6
