Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
__
<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
_____
Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
They let you know the number of numbers there are/will be.
Step-by-step explanation:
Mono, being one, means there will only be one number is the equation.
Bi, being two, means there will be two numbers in the equation.
and tri, being three, means there are three numbers in the equation.
Answer:
x = 9
Step-by-step explanation:
Sum of a triangle is 180°.
6x + 1 + 6x - 14 + 9x + 4 = 180°
Arrange the like terms together and simply this equation.
6x + 6x + 9x + 1 + 4 - 14 = 180°
21x - 9 = 180°
Shifting '-9' to the other side of the equation gives you '+9'
21x = 180° + 9
21x = 189
Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)
x = 189 ÷ 21
x = 9
The mean and median can be calculated for quantitative data only.