Let
the length = x
the width = x-23
perimeter = 122 ft
perimeter = 2 ( length + width )
122 = 2 ( x + x-23)
122 = 2x + 2x - 46
122=4x-46
122+46=4x
168=4x
x=168/4
x=42
length=42
width = x -23
= 42-23
= 19
Hope this was helpful
Prime: 2/8
Even: 6/8
Number 5: 1/8
First, look at the coefficients. They are 18 and 27, which means the final answer will have the coefficient of 9, since its the GCF in between them.
Look at the xs. Since there aren't any in the second expression, it's not part of the answer.
Now, look at the ys.
The GCF in between y^7 and y^3 is y^3.
Finally, look at the ws.
The GCF in between w^4 and w^6 is w^4.
Put them all together, and the answer is 9y^3w^4
Hope this helps!
Answer:
15:6:14
Step-by-step explanation:
AB:BD is split into a total of 3+4=7 parts.
AC:CD is split into a total of 3+2=5 parts.
So, if the two ratios are put on a number line together with the points A, B, C, and D, the number line would be split into a total of 35 parts (the LCM of 7 and 5).
AB would be (3/7)*35=15.
CD would be (2/5)*35=14
BC would be 35-(15+14)=6
So, the ratio is 15:6:14.
Answer:
Percentage decrease in surface area = ![19\%](https://tex.z-dn.net/?f=19%5C%25)
Step-by-step explanation:
Given: A right circular cylinder has a radius of 6 inches and a height of 4 inches.
To find: percent change in surface area of the cylinder if height and radius are decreased by 10%
Solution:
Original radius of cylinder (r) = 6 inches
Original height of cylinder (h) = 4 inches
Original surface area of cylinder (a) = ![2\pi r(r+h)](https://tex.z-dn.net/?f=2%5Cpi%20r%28r%2Bh%29)
![=2\pi (6)(6+4)\\=12\pi (10)\\=120 \pi\,\,cubic\,\,inches](https://tex.z-dn.net/?f=%3D2%5Cpi%20%286%29%286%2B4%29%5C%5C%3D12%5Cpi%20%2810%29%5C%5C%3D120%20%5Cpi%5C%2C%5C%2Ccubic%5C%2C%5C%2Cinches)
New radius of cylinder (R) =
inches
New height of cylinder (H) = ![4-\frac{10}{100}(4) =4-0.4=3.6](https://tex.z-dn.net/?f=4-%5Cfrac%7B10%7D%7B100%7D%284%29%20%3D4-0.4%3D3.6)
New surface area of cylinder (A) = ![2\pi R(R+H)](https://tex.z-dn.net/?f=2%5Cpi%20R%28R%2BH%29)
![=2\pi(5.4)(5.4+3.6)\\=10.8\pi (9)\\=97.2\,\pi\,\,cubic \,\,inches](https://tex.z-dn.net/?f=%3D2%5Cpi%285.4%29%285.4%2B3.6%29%5C%5C%3D10.8%5Cpi%20%289%29%5C%5C%3D97.2%5C%2C%5Cpi%5C%2C%5C%2Ccubic%20%5C%2C%5C%2Cinches)
Decrease in surface area = ![a-A=120\pi-97.2\pi=22.8\pi](https://tex.z-dn.net/?f=a-A%3D120%5Cpi-97.2%5Cpi%3D22.8%5Cpi)
Percentage decrease in surface area = ![\frac{22.8\pi}{120\pi} (100)=19\%](https://tex.z-dn.net/?f=%5Cfrac%7B22.8%5Cpi%7D%7B120%5Cpi%7D%20%28100%29%3D19%5C%25)