Answer:b
Step-by-step explanation:
-21x+28 is factored into:
-7(3x-4)
H=2f/m+1
subtract one from both sides
h-1=2f/m
multiply m to both sides
m*h-1=2f
divide 2 both sides
mh-1/2=F
(the whole left side of the equation is divided by 2 i just cant do it on the computer)
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:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
