<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:
Option c) Transitivity
Step-by-step explanation:
We are given the following information in the question:
If A exceeds B in some property and B exceeds C, then A must also exceed C.
We have to define the property shown by A,B and C.
Transitivity:
- It is a mathematical property which states that between three numbers if first and second share the property, second and third share the property, then according to transitive property, the property holds between first and third as well.
Thus, A, B and C here shows the transitive property.
The correct answer is
Option c) Transitivity
Answer:
161 feet
Step-by-step explanation:
80.5 * 2 = 161 Feet
We multiply by 2 due to them swimming down and back
Answer:
Step-by-step explanation:
Total pencils = 48
Total erasers = 72
If we put 1 pencil and 1.5 eraser in each pouch then total pouches = 48 pouches
Answer:
x=6
Step-by-step explanation:
9(10)=15(×)
90=15×
90÷15=6