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.
Answer:
y = -2
Step-by-step explanation:
y + 4 = 2
y = 2 - 4
y = -2
Answer:
- 20
Step-by-step explanation:
Total Change in enrollment = - 60
Period of time at which change occurred = 3 years
Average change per year :
Total change in enrollment / period at which change occurred
= - 60 / 3
= - 20
Average change of - 20 enrollments per year
(2x+y) * 2 = 4x+2y |
\/
4x+2y+3
2(1)+3
2+3
<u>5</u>
Answer: <u>An atom is the basic unit of matter</u> and the defining structure of elements. The difference between an atom and a molecule is that <u>molecules are formed when two or more atoms bond together</u>. If molecules contain atoms of different elements, that substance is known as a compound. <u>Atoms make up molecules. </u>
