Answer:
x = 5/2
Step-by-step explanation:
So firstly, you want to distribute. It'll make your life much easier.
-2x + 8 = 3
-2x = -5 (subtracting 8 from both sides)
x = 5/2 (dividing both sides by -2 to obtain x)
Hope this helps :)
Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
A: 1:1 unless they want you to count both arms then it would be B: 2:2
To find the area multiply the length by the width.
The length and width of a square are the same.
Area = 15 x 15 = 225 square feet.