Answer:
56
Step-by-step explanation:
Keep the order of opperations in mind when doing this (PEMDAS). First, solve what is inside the parentheses (6-1). Then, solve the exponent and the multiplication (6² and 5×5). Finally, finish adding and subtracting to get the answer.
Answer:
B & C
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
A) 18^2 + 24^2 = 2,088 | 42^2 = 1,764 [NOT A]
B) 33^2 +56^2 = 4,225 | 65^2 = 4,225 [B IS CORRECT]
C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761) [C IS CORRECT]
D) 3^2 + 4^2 = 25 | 7^2 = 49 [NOT D]
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Answer:
The whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square is 6 ft
Step-by-step explanation:
Here we are required find the size of the sides of a dunk tank (cube with open top) such that the surface area is ≤ 160 ft²
For maximum volume, the side length, s of the cube must all be equal ;
Therefore area of one side = s²
Number of sides in a cube with top open = 5 sides
Area of surface = 5 × s² = 180
Therefore s² = 180/5 = 36
s² = 36
s = √36 = 6 ft
Therefore, the whole number dimension that would allow the student to maximize the volume while keeping the surface area at most 160 square = 6 ft.
B 0.05 since the thousandth digit is higher than 5, it needs to be rounded up.