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:
=0.5278
Step-by-step explanation:
a) The first die roll is bigger than the second or the first roll is a 3
Cases for 2 rolls are
(1,1)(1,2)(1,3)....(1,6),(2,1)(2,2)..... (total 36)
We will get 6 cases when they are equal and 15 when 1st is bigger and 15 when 1st is smaller
So
Let A is the event when first roll bigger
B is the event when First roll=3
So
P(A)=15/36
P(B) =1/6
P(A and B)=2/36
So
P(A or B)=P(A)+P(B)-P(A and B)
=15/36+1/6-2/36
=19/36
=0.5278
Answer:
A greater percentage of blue T-shirts were sold.
see the explanation
Step-by-step explanation:
we know that
To find out the percentage sold, divide the number of shirts sold by the total number of shirts and multiply by 100
so
<em>White t-shirts</em>
total shirts 200
shirts sold 120
<em>Blue t-shirts</em>
total shirts 300
shirts sold 240
Compare
therefore
A greater percentage of blue T-shirts were sold.
Answer:
π/3
Step-by-step explanation:
The vector is in the first quadrant. The angle is:
tan⁻¹(√3 / 1) = π/3