Answer:
12 in
Step-by-step explanation:
the scale factor of the enlarged frame is found by comparing the widths
original width : enlarged width = 2 : 6 = 1 : 3
That is 3 times the original width , then
enlarged height = 4 × 3 = 12 in
Since we have a cubic root, we're interested in factoring cubes inside the root, so that we can take them out. If we factor 648, we have

So, we have
![3x\sqrt[3]{648 x^4 y^8} = \sqrt[3]{3\times 6^3\cdot x^3\cdot x \cdot y^6\cdot y^2}=3x\cdot 6\cdot x\cdot y^2\sqrt[3]{3\cdot x\cdot y^2}](https://tex.z-dn.net/?f=3x%5Csqrt%5B3%5D%7B648%20x%5E4%20y%5E8%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5Ctimes%206%5E3%5Ccdot%20x%5E3%5Ccdot%20x%20%5Ccdot%20y%5E6%5Ccdot%20y%5E2%7D%3D3x%5Ccdot%206%5Ccdot%20x%5Ccdot%20y%5E2%5Csqrt%5B3%5D%7B3%5Ccdot%20x%5Ccdot%20y%5E2%7D)
And the result simplifies to
![18x^2y^2\sqrt[3]{3xy^2}](https://tex.z-dn.net/?f=18x%5E2y%5E2%5Csqrt%5B3%5D%7B3xy%5E2%7D)
If the total age of both April and Amy are 53
And Amy is 9 years younger than april.
Then to solve for Amy's age you would subtract 9 from 53 and divide by 2
which equals 22
Since amy is 9 years younger than April, then April's age is Amy's age 22 + 9 which gives you 31
April's age is 31 and Amy's age is 22
Answer:
Combined volume of the two game systems
cubic inches
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.
So,
Volume of Soham's video game system = 8 × 6 × 2 =
cubic inches
As Sean's video game system measures 1 inch longer on all sides,
the video game system measures
inches long,
inches wide, and
inches tall.
Volume of the video game system = 10 × 8 × 4 =
cubic inches.
Therefore,
Combined volume of the two game systems =
cubic inches
Answer:
i cant see it sorry bye
Step-by-step explanation: