Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Solving:
-7 + y = 3 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-7 + y + -2y = 3 + 2y + -2y
Combine like terms: y + -2y = -1y
-7 + -1y = 3 + 2y + -2y
Combine like terms: 2y + -2y = 0
-7 + -1y = 3 + 0
-7 + -1y = 3
Add '7' to each side of the equation.
-7 + 7 + -1y = 3 + 7
Combine like terms: -7 + 7 = 0
0 + -1y = 3 + 7
-1y = 3 + 7
Combine like terms: 3 + 7 = 10
-1y = 10
Divide each side by '-1'.
y = -10
Hope it helps. (:
The answer is 1x10^2 or just simply 10^2.
Answer:
<h3>
<em><u>x=3 or x=-10</u></em> is the right answer.</h3>
