Answer:
C. 20
Step-by-step explanation:
You need you use the Pythagorean Theorem to answer this. We are given the lengths of both legs of the right triangle.
a^2 +b^2 = c^2
If we plug the number given to us into the formula, we get
(12)^2 + (16)^2 = c^2
144 + 256 = c^2
400 = c^2
= C
20 = C
Answer:
(n+2)(n+1)
Step-by-step explanation:
Write out the numerator and cancel common factors:
(n+2)!/n! = (n+2)(n+1)n!/n! = (n+2)(n+1)
_____
You might be expected to multiply it out:
= n·n +2·n +n·1 +2·1
= n² +3n +2
Answer:
C) 4.0 ft
Step-by-step explanation:
We will use the Pythagorean theorem to solve this. It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,
a²+b² = c²
The height splits the base in two, giving us a leg of 3. The hypotenuse is 5. This gives us:
3²+b² = 5²
9+b² = 25
Subtract 9 from each side:
9+b²-9 = 25-9
b² = 16
Take the square root of each side:
√b² = √16 = 4
