Find the missing side round your answer to the nearest tenth
1 answer:
Answer:
x ≈ 14.7
Step-by-step explanation:
Assuming the triangle is right then use Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 15² = 21²
x² + 225 = 441 ( subtract 225 from both sides )
x² = 216 ( take the square root of both sides )
x = ≈ 14.7 ( to the nearest tenth )
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Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
(1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
We can find the base by solving equation (1) for b:
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!