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Write an equation that relates the quantities.
1. The square of the length of a hypotenuse c of a right triangle varies jointly with the sum of the squares of the lengths of its legs a and b. The constant of proportionality is 1.
c^2 = (a^2 + b^2)(1)
Is this right?
2. The perimeter p of a rectangle varies jointly with the sum of the lengths of its sides l and w. The constant of proportionality is 2.
p = 2(l + w)
You say?
3. The period of a pendulum is the time required for one oscillation; the pendulum is usually referred to as SIMPLE when the angle made to the vertical is less than 5 degrees. The period T of a simple pendulum (in seconds) varies directly with the square root of its length L (in feet).
The constant of proportionality is (2pi)/sqrt{32}.
Let me see.
T = sqrt{L}[(2pi)/sqrt{32}]
What do you say?
Thanks....
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1. right
2. right
3. right,
but I would simplify:
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1. right
2. right
3. right,
but I would simplify:
I never understood LaTex.
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