Isosceles triangle: two equal sides.
We have the following relationship:
root (32) = root (L ^ 2 + L ^ 2)
root (32) = root (2L ^ 2)
root (32) = Lraiz (2)
root (32) / root (2) = L
The surface area is:
Area of the base and top:
A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
A1 = (1/2) * (32/2)
A1 = (1/2) * (16)
A1 = 8
Area of the rectangles of equal sides:
A2 = (root (32) / root (2)) * (6)
A2 = 24
Rectangle area of different side:
A3 = (root (32)) * (6)
A3 = 33.9411255
The area is:
A = 2 * A1 + 2 * A2 + A3
A = 2 * (8) + 2 * (24) + (33.9411255)
A = 97.9411255
Round to the nearest tenth:
A = 97.9 cm
Answer:
The surface area of the triangular prism is:
A = 97.9 cm
Answer:
4:
a.) 49x^2-36y^2
b.) 9a^2-25b^2
c.) 1/25x^2-49
5: b.) -5x^2-4xy+4y^2
Step-by-step explanation:
6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
<em>grouping, exponents, multiplication/divison, addition/subtraction
</em>
First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on <em>inside</em> of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)
Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.
Now our expression is 36/2(3)+4.
Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you <em>cannot</em> do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.
Now our expression is 54+4.
Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
