Answer:
(a) 0.2707
(b) 0.8576
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Answer:
s represents the shorter leg
3s - 9 represents the longer leg
2s + 1 represents the hypotenuse
(2s + 1)2 = s2 + (3s - 9)2 Pythagorean Theorem
4s2 + 4s + 1 = s2 + 9s2 - 54s + 81 square binomial
4s2 + 4s + 1 = 10s2 - 54s + 81 combine like terms
0 = 6s2 - 58s + 80 set to 0
0 =3s2 - 29s + 40 divide both sides by 2
0 = (3s - 5)(s - 8) FOIL
{5/3, 8}
5/3 is not feasible since 3(5/3) - 9 is negative.
-by-step explanation:
Answer:
d = √91 ft = about 9.53 ft
Step-by-step explanation:
use pythagorean theorem which is a²+b²=c²
(the hypotnuse which is opposite side of the right angle is always going to be C in the pythagorean theorem)
a = 3 b = ? c = 10
(3)² + b² = (10)²
9 + b² = 100
subtract 9 from both sides
b² = 91
take the square root of both sides
b = ±√91
so the side d = √91 ft = about 9.53 ft