Answer:
203 ; 245
Step-by-step explanation:
158 + 45= 203
question 2
203+42= 245
Answer:
40
Step-by-step explanation:
Answer:
1.25b
Step by step explanation:
1, B
2, C
3, C
4, C
5, a
6, b
7, b
8, C
9, a I think.
Hoped this helps.
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!