10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.
11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
Answer:
Step-by-step explanation:
If we let the measure of the smallest angle be , then we know that the measure of the angle that is three times as large as it is and the measure of the angle that is larger than it is .
Because the sum of the measures of the interior angles in a triangle is , we can write the following equation to solve for :
Solving for , we get:
(Combine like terms)
(Subtract from both sides of the equation to isolate , Simplify)
Therefore, the measures of the other angles are and . Since , the measure of the largest angle will be . Hope this helps!
Answer:
$104,710.29
Step-by-step explanation:
The amount is given by ...
A = Pe^(rt)
where P is the principal invested at annual rate r for t years. Filling in the numbers, we get ...
A = 30000e^(.05·25) = 30000e^1.25 ≈ 104,710.29
The balance will be about $104,710.29 on the child's 25th birthday.
Answer:
The draw in the attached figure
Step-by-step explanation:
we know that
An office building has the shape of a right rectangular prism with a width 20 meters. length 40, height 60
so
The shape of one floor of the building is equal to the shape of the rectangular base of the prism
therefore
One floor of the building is a rectangle with
Length 40 m
Width 20 m
see the attached figure
Answer: the probability of landing on blue as more and more colors are added is low because as you add more colors there is less and less of the blue
Step-by-step explanation: i am honestly just guessing dont come at me!!!