Answer:
Step-by-step explanation:
<em>Refer to attached</em>
<u>Comparing sales by the ratio of sold to all or</u>
- Sales = sold / (remaining + sold)
<u>Applying to our table:</u>
- New Labels: p/(p+q)
- Old labels: r/(r+s)
Correct answer option is the last one
Answer: P ( 3/2, - 1 )
Step-by-step explanation: the formulae that defines the midpoint of a line is given below as
x = (x2 + x1)/2 and y = (y2 + y1)/2
Where x and y are the coordinates of the mid point.
Point A is (-1, 5) hence x1 = - 1 and y1 = 5
Point B is (4, -3) hence x2= 4 and y2 = - 3
For x coordinate, we have that 4 + (-1)/2 = 4 - 1/ 2 = 3/2
For y coordinate, we have that - 3 + 5 / 2 = - 2/2 = - 1
Hence, coordinate of midpoint is P ( 3/2, - 1 )
Answer: 30 feet
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Work Shown:
x = height of tree in feet
The larger triangle, and the smaller triangle that fits inside the larger, are similr triangles.
So we can form the proportion
x/5 = 48/8
Note how x/5 is the result of dividing the larger vertical side (x) over the smaller vertical side (5)
The same applies with 48/8. The larger triangle's horizontal side is 8+40 = 48. The corresponding horizontal side for the smaller triangle is 8
Cross multiply to solve for x
x/5 = 48/8
8*x = 5*48
8*x = 240
8*x/8 = 240/8
x = 30
The tree is 30 feet tall
