Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:
ab=54 in^2
ac=90 in^2
bc=60 in^2
Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.
Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.
Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)
Answer:
C. (5x√2)² = 50x²
Step-by-step explanation:
Area of parallelogram = QR²
QR = √((5x)² + (5x)²) ---› pythagorean theorem
QR = √(25x² + 25x²) =
QR = √(50x²)
QR = √(25*2*x²)
QR = 5x√2
✔️Area of parallelogram = QR²
= (5x√2)² = 25x² × 2 = 50x²
Answer:
A. 68%
Step-by-step explanation:
68 + 32 = 100, therefore the answer is 68%.
Answer:
1:3
Step-by-step explanation:
To find the probability of selecting a certain type of item from a collection, simply divide the number of items of that type by the total number of items.
There are 3 + 2 + 1 = 6 marbles in total. There are 2 yellow marbles, so the probability of choosing a yellow marble on the first draw is 2/6. This can be further simplified to 1:3.
Answer:
m = 
Step-by-step explanation:
Given
y = mx + b ( subtract b from both sides )
y - b = mx ( divide both sides by x )
= m
