Area of the canvas: 96 = 2 · W² + 2 · W L,
where W is the width and L is the length of a back and a top side. Two square sides have area W².
2 W L = 96 - 2 W² /:2
W L = 48 - W²
L = ( 48 - W² ) / W.
The inside volume of the shelter:
V = L · W · W = L · W²
V = W² · ( 48 - W² ) / W ;
V = 48 W - W³
We have to find the derivative:
V ` = 48 - 3 W²
48 - 3 W² = 0 ( for V max. )
3 W² = 48
W² = 48 : 3
W² = 16; W = √16; W = 4 ft.
L = ( 48 - 16 ) / 4 = 32 / 4 = 8 ft.
Answer: The length of the shelter for which the volume inside is maximized is 8 ft.
Answer:
the second one
Step-by-step explanation:
The sale price is 30% of the original price (70% reduction). So $156 is 30% of the original price. 10% of the original price is $52, therefore the original price is $520 (100% price).
I think the answer is (A) 0.125 because you have a 3/24 chance of getting 3 tails in a row according to the sample space. When you simplify you should get 1/8 and when converted to a decimal 0.125. Hope this helps!
Answer:
Line 1: Undefined
Line 2: -4/3
Line 3: 4/3
Line 4: Undefined
Line 5: 7/3
Line 6: -7/3
Line 7: 0
Line 8: 0
Line 9: Undefined
Line 11: 0
Line 10 & 12: Undefined
Step-by-step explanation:
Use the slope formula (you can just search up the slope formula)
Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).
I hope this helps!
