Answer:
Option (G)
Step-by-step explanation:
Volume of the real cane = 96 in³
Volume of the model of a can = 12 in³
Volume scale factor = 
= 
Scale factor of the model = ![\sqrt[3]{\text{Volume scale factor}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7BVolume%20scale%20factor%7D%7D)
![=\sqrt[3]{\frac{1}{8}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%7D)
Therefore, scale factor of the model of a can = 
≈ 1 : 2
Option (G) will be the correct option.
Answer:
100 degrees and 70 degrees
Step-by-step explanation:
180 - 10 = 170
with a ratio of 7:10
7x + 10x = 170
17x = 170
x = 170/17
x = 10
one angle in 100 degrees and the other is 70 degrees
Answer:
(g+f)(x)=(2^x+x-3)^(1/2)
Step-by-step explanation:
Given
f(x)= 2^(x/2)
And
g(x)= √(x-3)
We have to find (g+f)(x)
In order to find (g+f)(x), both the functions are added and simplified.
So,
(g+f)(x)= √(x-3)+2^(x/2)
The power x/2 can be written as a product of x*(1/2)
(g+f)(x)= √(x-3)+(2)^(1/2*x)
We also know that square root dissolves into power ½
(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)
We can see that power ½ is common in both functions so taking it out
(g+f)(x)=(x-3+2^x)^(1/2)
Arranging the terms
(g+f)(x)=(2^x+x-3)^(1/2) ..
62.71 would be the answer
