Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
£72000
Step-by-step explanation:
According to the Question,
- Given, At a football game, the ratio of men to women is 4:1 & There are 9,000 people in total
Thus, 5 ⇒ 9000 People
So, 4 ⇒ 7200 People(Men)
1 ⇒ 1800 People(Women)
- And, each ticket costs £10
Thus, The amount of money made from tickets sold to men is 7200 total Men x £10 Per Ticket Cost ⇒ £72000.
Answer:
23x-1
Step-by-step explanation:
Answer: 7:3
Step-by-step explanation:
15 chairs are red
35 are blue
35:15
Simplifies to
7:3
Answer:
slope=1/3
Step-by-step explanation:
the equation is in slope-intercept form (y=mx+b) and m always equals slope in that equation, so in your equation m=1/3, so slope=1/3