<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Answer:
5/8
Step-by-step explanation:
there are 8 slices.
if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.
in maths, we write 5 out of 8 like 5/8
hope this helped, any questions - just ask
good luck,
-cheesetoasty
-10x<40
divide both sides with -10
x>-4
sign changes since it's divided with negative number
Answer:
50
Step-by-step explanation:
rectangle area = 144 cm
Formula: A= L*H
The give the length which is 16
144 = 16*H
Since they gave u the area instead of the height, work backwards
144/16 = 16/16 *H
9 = H
Now you have the length and height
Length: 16
Height: 9
Perimeter is when you add up all the sides
The top and bottom of the rectangle is the length which is 16 so
16 + 16 = 32
The left and right side of the rectangle is the height which is 9 so
9 + 9 = 18
Now add then both
32 + 18 = 50
So the perimeter of the rectangle is 50
Hope this helped!
