Answer:
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do
.
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' =
.
the
ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
-12 is an integer because all fractions are rational numbers.
Answer:
Option A. 
Step-by-step explanation:
we know that
The lateral area of a cone is equal to

we have


substitute and solve for l (slant height)

simplify


Answer:
Step-by-step explanation:
The inequality y - x < -3 should be solved for y, as follows:
Add x to both sides, obtaining:
y < x - 3
Note that this y < x - 3 has the form y = mx + b, which represents a straight line. In this case the straight line would be y = x - 3, meaning that the slope of this line is 1 and the y-intercept is -3.
Because y < x - 3 involves the inequality symbol <, draw a dashed line, not a solid line. The solution set consists of all points on the graph BELOW this dashed line y < x - 3.
Answer:
1 ; 7 /17
Step-by-step explanation:
17 balls numbered 1 through 17
Picking without replacement :
If the second ball picked = 4
P(first ball has a smaller number)
Numbers less Than = (3, 2, 1)
P(number less than second ball Given 4 is drawn for second ball) :
= (3/17 * 1/16) ÷ (3/17 * 1/16) +) 14/17 * 0)
= (3 / 272) / (3 /272) * 0
= 3 / 272 * 272 / 3
= 1
2.)
(8/17 * 7/8) ÷ (8/17 * 7/8) + (9/17 * 1/17)
7/17 ÷ (7 /17) + 10/17
7 /17 ÷ 17/17
7/17 ÷ 1
7 /17