Answer: he watched 1/12 of the movie at night.
Step-by-step explanation:
Let x represent how much of the movie that he watched at night.
Tanner watched 1/4 of a movie in the morning, and he watched some at night. This means that she had already watched
x + 1/4 = (4x + 1)/4 of the movie by the end of the day. Therefore, what he has left to watch would be
1 - (4x + 1)/4 = [4 - (4x + 1)]/4
= (3 - 4x)/4
By the end of the day, he still had 2/3 of the movie to watch, it means that
(3 - 4x)/4 = 2/3
Cross multiplying, it becomes
3(3 - 4x) = 4 × 2
9 - 12x = 8
12x = 1
x = 1/12
Answer:
cos x (2 sin x − 1)
Step-by-step explanation:
sin(2x) − cos x
Use double angle formula.
2 sin x cos x − cos x
Factor.
cos x (2 sin x − 1)
1 gallon = 4 quarts
He bought 12 quarts of milk.
Given,
Diameter of the can = 3"
Height of the can = 7"
Looking at how the cans are arranged in the box, that is 4 x 5 (4 rows of cans [width] with 5 cans in each row [length])
The length of the box (L) = 5 cans multiplied by each can's diameter = 5 × 3" = 15"
The width of the box (W) = 4 cans multiplied by each can's diameter) = 4 × 3" = 12"
The height of the box (H) = 2 layers of cans = 2 cans multiplied by each can's height = 2 × 7" = 14"
Therefore, the volume of the box = Length (L) × Width (W) × Height (H) = 15" × 12" × 14" = 2520 inches³
Volume of the box = 2520 inches³
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There is also an alternative method to calculate the volume of the box:
Consider each can. Although the can is cylindrical, each can would occupy the space required by a cuboid.
So, for each Cuboid space, the diameter of the can will be the length and width of the cuboid and the height of the can will be the height of the cuboid.
Therefore, for each can,
Length (L) = 3"
Width (W) = 3"
Height (H) = 7"
Volume occupied by one can (that is a cuboid) = L × W × H = 3" × 3" ×7" = 63 inches³
There are 40 such cans in total inside the box; therefore,
Volume of the box = 40 × 63 inches³ = 2520 inches³
Answer:
10 year old
Step-by-step explanation:
because the 10 year old has a better developed body than a 5 year old.
Hope this helps, have a nice day/night! :D
