The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.
54 is the hypotenuse since it is the longest side.
Following the Pythagorean Theorem, a^2 + b^2 = c^2:
54^2=2916
51^2=2601
22^2=484
It becomes 2601+484 = 2916.
When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute.
Answer:
x^3 + 3x^2 + 4x + 3
Step-by-step explanation:
Please write this as r(x) = x^3+x+1. " ^ " represents exponentiation.
Given r(x) = x^3+x+1, replace each x with (x + 1) (must use parentheses here):
r(x + 1) = (x + 1)^3 + (x + 1) + 1, or
= x^3 + 3x^2 + 3x + 1 + x + 1 + 1, or
= x^3 + 3x^2 + 4x + 3
32* is the answer for that question
Answer:
Andres has 12 stars.
Step-by-step explanation:
- 3 stars - 1 goal
- -3/4 stars - Missed goal
- Scored 5
- Missed 4
3 * 5 = 15
He has 15 stars but then misses 4 goals.
3/4 * 4 = 3
He loses 3 stars becuase he missed 4 goals.
15 - 3 = 12
He ends with 12 stars.
Answer:
I think 7 days for 7 cups.
Step-by-step explanation: