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:
x = -8
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides:
3x + 12 (-12) = -12 (-12)
3x = -12 - 12
3x = -24
Next, divide 3 from both sides:
(3x)/3 = (-24)/3
x = -24/3
x = -8
x = -8 is your answer.
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Answer:
1 .i think it is d
Step-by-step explanation:
Matter exists in three states; <em>solid, liquid and gas.</em>
The statement that corrects the error in his table is:
<em>D. The Solids column and the gas column should be switched because solids have a definite shape and volume and gases have no definite shape or volume.
</em>
<em />
<em />
Looking at the table, we have the following observations.
- <em>The solid column shows indefinite shape (because the particles fill in the container)</em>
- <em>The liquid column is properly cataloged</em>
- <em>The gas column shows a definite shape</em>
<em />
Solid has definite shape, while gas doesn't.
To make corrections, Marcus needs to switch the gas and the solid column.
Read more about states of matter at:
brainly.com/question/18538345
