<span>Partition describes the equal shares of a shape.
</span>
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
8y + 36 = 14y -24 Subtract 36 to both sides
8y = 14y - 24 - 36 Combine
8y = 14y - 60 Subtract 14y from both sides
8y - 14y = - 60
-6y = -60 Divide by - 6
-6y/-6 = -60/-6
y = 10
===========================
x +48 = 64 Subtract 48 from both sides
x +48 - 48 = 64-16
x = 16
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:
![\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)](https://tex.z-dn.net/?f=%20%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7Bdb%7D%7Bdt%7Dh%20%2B%20%5Cfrac%7Bdh%7D%7Bdt%7Db%29%20)
We can find the base by solving equation (1) for b:
![b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm](https://tex.z-dn.net/?f=%20b%20%3D%20%5Cfrac%7B2A%7D%7Bh%7D%20%3D%20%5Cfrac%7B2%2A120%20cm%5E%7B2%7D%7D%7B10%20cm%7D%20%3D%2024%20cm%20)
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
![2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)](https://tex.z-dn.net/?f=%202%20cm%5E%7B2%7D%2Fmin%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7Bdb%7D%7Bdt%7D%2A10%20cm%20%2B%201%20cm%2Fmin%2A24%20cm%29%20)
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
In the given triangle,
Using Pythagoras theorem, we get
Taking square root on both sides, we get
Therefore, the correct option is B.