Answer:
1 6/8
Step-by-step explanation:
add 1/8 to 5/8 by adding just the numerators
1 + 5 = 6
now you have 6/8. add the 1 and you have 1 6/8
hope this helped, have a good day :)
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"The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs." - Dictonary.com
In simple words, it is a study in math in which you study shapes, lines, planes, and points.
The surface area of the triangular prism is 144 cm²
<u>Explanation:</u>
Given:
Base of the triangle = 4
Height of the triangle = 3
Hypotenuse of the triangle = 5
Length of the prism = 11
Surface area of the rectangular prism = ?
Surface area, A = ![ah+bh+ch+\frac{1}{2} \sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c^4}](https://tex.z-dn.net/?f=ah%2Bbh%2Bch%2B%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%7B-a%5E4%20%2B%202%28ab%29%5E2%20%2B%202%28ac%29%5E2%20-%20b%5E4%20%2B%202%28bc%29%5E2%20-%20c%5E4%7D)
On substituting the value, we get:
![A = 4 X 11+ 3X11+5X11+\frac{1}{2} \sqrt{-(4)^2 + 2(4X3)^2 + 2(4X5)^2 - 3^4 + 2(3X5)^2-5^4} \\\\A = 144 cm^2](https://tex.z-dn.net/?f=A%20%3D%204%20X%2011%2B%203X11%2B5X11%2B%5Cfrac%7B1%7D%7B2%7D%20%5Csqrt%7B-%284%29%5E2%20%2B%202%284X3%29%5E2%20%2B%202%284X5%29%5E2%20-%203%5E4%20%2B%202%283X5%29%5E2-5%5E4%7D%20%5C%5C%5C%5CA%20%3D%20144%20cm%5E2)
Therefore, the surface area of the triangular prism is 144 cm²
Answer:
−8x − 48
Step-by-step explanation: