Answer:
x=4 y=0
Step-by-step explanation:
3x+5y=12
-(x-3y=4)
3x+5y=12
3(-x+3y=-4)
3x+5y=12
-3x+9y=-12
14y=0
y=0
Then, substitute the y into the equation to find x
x-3(0)=4
x=4
If 4600 corresponds with 100, multiply 4600 by .09 and you get 414.
Also:
46 * 9 = 414
There are 4 quarts in a gallon so, therefore you would times 35 by 4 and get 140 quarts and 140 quarts is your answer
Answer:
The value of rate of which the base is changing
= - 3 
Step-by-step explanation:
Area = 20 
height = 4 cm


we know that area of the triangle is given by



B = 10 cm
Rate of change of area is given by
![\frac{dA}{dT} = \frac{1}{2} [B\frac{dH}{dt} + H \frac{dB}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7BdT%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5BB%5Cfrac%7BdH%7D%7Bdt%7D%20%2B%20H%20%5Cfrac%7BdB%7D%7Bdt%7D%20%5D)
4 = 0.5 [10 × 2 + 4
]
= - 3 
This is the value of rate of which the base is changing.
Answer:
LA = 1,187.5 ft^{2} and SA = 1,803.3 ft^{2}
Step-by-step explanation:
We are given, the radius 'r' of the cone is 14 ft and the slant height 'l' is given by 27 ft.
Now, we know that the formula for the lateral area = 
i.e. lateral are = 
i.e. lateral area = 1187.52 ft^{2}
Hence, lateral area rounded off to nearest tenth is 1187.5 ft^{2}.
Next, we know the formula for surface area of a cone = 
i.e. surface area = 
i.e. surface area = 1803.27 ft^{2}
Hence, the surface area rounded off to the nearest tenth is 1803.3 ft^{2}.