Answer:
8x+6=-8
x=-1,75
Step-by-step explanation:
8x+6=-8
8x=-8-6
8x÷8=-14÷8
x=1,75
262,144 feet squared
This seems like a big number but area length times width. If the coaster is square then all sides are the same so the length and width are both 512 feet. This means you multiply 512 and 512. With that you get 262,144 feet squared.
Check the picture below.
the surface area of the pyramid is simply the area of the four triangular faces plus the squarish base, and the triangular faces have a base of 12 and an altitude or height of "s", and we know that's 336.
![336~~ = ~~\stackrel{\textit{\LARGE Areas}}{\stackrel{square}{(12)(12)}~~ + ~~\stackrel{\textit{four triangles}}{4\left[ \cfrac{1}{2}(\underset{b}{12})(\underset{h}{s}) \right]}}\implies 336~~ = ~~144~~ + ~~24s \\\\\\ 192=24s\implies \cfrac{192}{24}=s\implies 8~m=s](https://tex.z-dn.net/?f=336~~%20%3D%20~~%5Cstackrel%7B%5Ctextit%7B%5CLARGE%20Areas%7D%7D%7B%5Cstackrel%7Bsquare%7D%7B%2812%29%2812%29%7D~~%20%2B%20~~%5Cstackrel%7B%5Ctextit%7Bfour%20triangles%7D%7D%7B4%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%28%5Cunderset%7Bb%7D%7B12%7D%29%28%5Cunderset%7Bh%7D%7Bs%7D%29%20%5Cright%5D%7D%7D%5Cimplies%20336~~%20%3D%20~~144~~%20%2B%20~~24s%20%5C%5C%5C%5C%5C%5C%20192%3D24s%5Cimplies%20%5Ccfrac%7B192%7D%7B24%7D%3Ds%5Cimplies%208~m%3Ds)
Given:
Area of sample board: 1/3 square ft.
Weight of sample board: 1/5 lbs
We need to get the weight of the whole square foot.
1/3 square foot is only a part of the whole square foot. Its corresponding weight is 1/5 pounds. We need to divide the area by its corresponding weight to get the total weight per square foot.
1/3 ÷ 1/5
Rules of dividing fractions:
1st fraction: 1/3 ; 2nd fraction: 1/5
1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1
2) Multiply 1st fraction to the reciprocal of the 2nd fraction
1/3 * 5/1 = 5/3
3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.
5/3 = 1 2/3 pounds.
