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:
60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.
Answer:
12
Step-by-step explanation:
Hello!
The volume of a cylinder can be found by using the formula, V = πr²h.
Given the radius, 7 units and the height, 4 units, we can substitute the given values into the formula and solve.
V = π(7)^2 · 4
V = 49 · 4π
V = 196π
Therefore, the answer is B, 196π units³.
Answer:
1.
Step-by-step explanation:
By the order of operations, multiplication goes before addition. We got left to right.
As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.
0 + 1 = 1.
I hope this helps!
