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Evgen [1.6K]
3 years ago
5

I have a question that involves derivatives in the context of a triangle. Can someone confirm that the answer is 39/41?

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0
X^2 + y^2 = z^2
d/dt[ x^2 + y^2 ] = d/dt[ z^2 ]
d/dt[ x^2 ] + d/dt[ y^2 ] = d/dt[ z^2 ]
2x*dx/dt + 2y*dy/dt = 2z*dz/dt
x*dx/dt + y*dy/dt = z*dz/dt
12*(3*dy/dt) + 5*dy/dt = z*1
12*(3*dy/dt) + 5*dy/dt = 13
12*(3*w) + 5*w = 13 ... letting w = dy/dt
36*w + 5*w = 13
41*w = 13
w = 13/41
dy/dt = 13/41
dx/dt = 3*(dy/dt)
dx/dt = 3*(13/41)
dx/dt = 39/41

You have the correct answer. Nice job.

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Helpppp plssssss I need to get my grade up in math
KatRina [158]

Answer: 1.25 square feet

This converts to the improper fraction 5/4

===========================================================

Explanation:

The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5

The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4

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-----------

If you need the answer as an improper fraction, then,

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1.25 = 1 + 1/4

1.25 = 4/4 + 1/4

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3 years ago
If f(x) = 3x + 2, what is f(5)?​
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5 0
3 years ago
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Arrange the following numbers in order from least to greatest.<br><br>7, 7.1, 7.2, √51<br>​
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Answer:

7, 7.1, √51, 7.2

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5 0
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