Answer:
11
Step-by-step explanation:
248/24=10.3
round up to 11
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.
The usual definition of Least Common Multiple of two numbers states that is the Least positive integer that can be evenly divided by both numbers. The way it is usually defined the two numbers must be positive integers
Answer:
Below in bold.
Step-by-step explanation:
x can have any real value - the domain is (-∞, ∞).
f(x) cannot be 0 or negative, no matter how negative x is, - the range is (0, ∞)