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Naddika [18.5K]
3 years ago
6

Find the surface area of the prism. The surface area is_______ square meters.

Mathematics
2 answers:
Andreas93 [3]3 years ago
6 0
Total surface area is: 416 m^2
Genrish500 [490]3 years ago
3 0
740 square meters

First you do 16 times 10 for the base(the square on the bottom), this equals 160.
Then you do 17 times 10 for sides. We have two of these so just add 170 plus 170 which equals 340.
Next use the formula A=bh/2 for the triangle. A=16(15)/2 this equals 240 but since we have two triangles then we don’t have to divide it.
Then add all of your numbers which are 240+160+340 and you get 740.

I hope this makes sense
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The value of x in the equation is x=-44.

The given equation is \frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}.

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

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Further, simplify the above expression by taking L.C.M as

\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end

Then, multiply both sides with 4 and get

\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end

Furthermore, cross multiply both sides and get

x=-44

Hence, the value of x in the equation which is given \frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4} is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

#SPJ4

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2 years ago
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