Answer:
The length of shadow decrease at 0.48 m/s.
Step-by-step explanation:
The distance of man from building = x
Thus initially, x = 12
It is given that dx/dt= -1.3 m/s
Let the shadow height = Y
Now solve for the 
when x=4
from the diagram (triangle) it can be seen similar triangles with similar base/height ratios.
The total fabric Morgan needs to cover the cushions will be 19.64 square feet.
It is given that each cushion has a circumference of 7.85 feet.
It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.
2πr = 7.85
r = 1.25
<h3>What is an area of a circle?</h3>
area of a circle is πr².
now, we can calculate the area = π× 1.25² = 4.91 square feet
since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.
Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.
to get more about the area of a circle, refer to the link:
brainly.com/question/12069107
Where dose the A go to tho..
Answer: Choice D
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Explanation:
Let g(t) be the antiderivative of 
. We don't need to find out what g(t) is exactly.
Recall by the fundamental theorem of calculus, we can say the following:
This theorem ties together the concepts of integrals and derivatives to show that they are basically inverse operations (more or less).
So,
From here, we apply the derivative with respect to x to both sides. Note that the 
portion is a constant, so 
![\displaystyle F(x) = g(x^2) - g(\pi)\\\\ \displaystyle F \ '(x) = \frac{d}{dx}[g(x^2)-g(\pi)]\\\\\displaystyle F\ '(x) = \frac{d}{dx}[g(x^2)] - \frac{d}{dx}[g(\pi)]\\\\ \displaystyle F\ '(x) = \frac{d}{dx}[x^2]*g'(x^2) - g'(\pi) \ \text{ .... chain rule}\\\\](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%28x%29%20%3D%20g%28x%5E2%29%20-%20g%28%5Cpi%29%5C%5C%5C%5C%20%5Cdisplaystyle%20F%20%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29-g%28%5Cpi%29%5D%5C%5C%5C%5C%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%5E2%29%5D%20-%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28%5Cpi%29%5D%5C%5C%5C%5C%20%5Cdisplaystyle%20F%5C%20%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E2%5D%2Ag%27%28x%5E2%29%20-%20g%27%28%5Cpi%29%20%5C%20%5Ctext%7B%20....%20chain%20rule%7D%5C%5C%5C%5C)
Answer is choice D
Answer:
lokókà
haha
Step-by-step explanation:
góbôńìkásó
