Answer:
Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio
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.
1. 7<x<13
The range for 1/x would be from 1/13 to 1/7, the reciprocals of 7 and 13.
answer: 1/13<1/x<1/7
2. 6<a<10 -----> -10<-a<-6 -------> -8<2-a<-4
×-1 +2
answer: -8<2-a<-4