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.
204 thousands equals to 204, 000 as the mathematical value and expression.
In expanded form
200, 000 + 4, 000 = 204, 000
In word form,
Two hundred and four thousand
A. first you can translate the lines 4 squares down.
then reflect the figure on th y line.
(attention: the rotation cant be done.)
B. yes they are. although we translated and reflected the figure l, we did not make any kind of change in size
good luck
I hope this helps you
8 1/8 65/8
Volume =(65/8)^3
Volume =274625/512
Volume =536,376
Answer: a = 
We want to isolate a. Add both sides by 2. Then we get u + 2 = 2a. To get just a, we can divide by 2 to get (u+2)/2.
Hope that helped,
-sirswagger21
