Answer:
2500 kg
Step-by-step explanation:
Given:
• Force produced by the truck = F = 15,000 Newtons Acceleration of the truck = a = 6 m/s²
To find:
Mass of the truck if force is 15000 newtons and acceleration is 6 m/s²
Formula:
Force = Mass Acceleration
Substituting the above values:
15000N Mass×6
Mass = 15,000/6
Mass = 2500 kg
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.
First
bring the fractions to a like denominator
8/12 equals 2/3 and 9/12 is equal to 3/4
2nd
cut the 8/12 into fourths
so 2/12 each piece
jessica ate 3 of the fourths so she ate
6/12 of the leftovers so it's half of the leftovers
now lets just cut up the pizza into 36. and 2 thirds is equal to 24/36
jessica ate 6/12 so she ate 12/24 of that
jessica ate 1/3 of the pizza
16
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