we have
![s=2(lw+lh+wh)](https://tex.z-dn.net/?f=s%3D2%28lw%2Blh%2Bwh%29)
Solve for w means that clear variable w
![s=2(lw+lh+wh)\\s=2lw+2lh+2wh](https://tex.z-dn.net/?f=s%3D2%28lw%2Blh%2Bwh%29%5C%5Cs%3D2lw%2B2lh%2B2wh)
Group terms that contain the variable w, and move the other terms to the opposite side of the equation
![(s-2lh)=(2lw+2wh)](https://tex.z-dn.net/?f=%28s-2lh%29%3D%282lw%2B2wh%29)
Factor the variable w
![(s-2lh)=w(2l+2h)](https://tex.z-dn.net/?f=%28s-2lh%29%3Dw%282l%2B2h%29)
Divide both sides by ![(2l+2h)](https://tex.z-dn.net/?f=%282l%2B2h%29)
![(s-2lh)/(2l+2h)=w(2l+2h)/(2l+2h)](https://tex.z-dn.net/?f=%28s-2lh%29%2F%282l%2B2h%29%3Dw%282l%2B2h%29%2F%282l%2B2h%29)
![w=(s-2lh)/(2l+2h)](https://tex.z-dn.net/?f=w%3D%28s-2lh%29%2F%282l%2B2h%29)
therefore
<u>the answer is</u>
![w=(s-2lh)/(2l+2h)](https://tex.z-dn.net/?f=w%3D%28s-2lh%29%2F%282l%2B2h%29)
Answer:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism.
Answer:
38°
Step-by-step explanation:
∠4=∠2
∠2=∠6
∠6=38°
So ∠4=38°
Answer:
60 km/hour
Step-by-step explanation:
To find the speed, divide the number of kilometers by the number of hours
kilometers/hours
120 km/ 2 hours
120/2=60
60 km/hour
The speed of the bus is 60 kilometers per hour
Answer:
The estimate of the percentage of millionaires in each of these cities:
Bridgeport San Jose Washington Lexington Park
CT CA D.C. MD
Percentage of
Millionaires 9% 12% 9% 8.3%
Step-by-step explanation:
Data and Calculations: City
Bridgeport, San Jose, Washington, Lexington Park,
Millionaire CT CA D.C. MD
Yes 45 36 36 33
No 455 264 364 367
Sample 500 300 400 400
Percentage of
Millionaires 45/500 36/300 36/400 33/400
= 0.09 0.12 0.09 0.0825
= 9% 12% 9% 8.3%