<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:
Answer is in the link below- jkjk
Step-by-step explanation:
It's a right angle so it can only add to 90 degrees, not 180
Step-by-step explanation:
area of rectangle = l × h
= 9 × y
= 72
9 × y = 72
y = 72÷9
y = 8cm
area of circle = 50.27cm²
total area of the logo = 2(50.27) + 72
= 100.54 + 72
= 172.54cm²
