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
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<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:
Thus, the two root of the given quadratic equation 
is 5.24 and 0.76 .
Step-by-step explanation:
Consider, the given Quadratic equation,
This can be written as , 
We have to solve using quadratic formula,
For a given quadratic equation 
we can find roots using,
...........(1)
Where, 
is the discriminant.
Here, a = 1 , b = -6 , c = 4
Substitute in (1) , we get,
and 
We know 
(approx)
Substitute, we get,
(approx) and 
(approx)
(approx) and 
(approx)
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
The slope is 3 and y-intercept is 4
y=mx+b
Answer:
2a + b/4
Step-by-step explanation:
The expression is the sum of two terms (2a + b/4)
The first term is the <u>product (</u>Multiply<u>)</u> of 2 and a (2a)
The second term is the <u>quotient</u> (Divide) of b and 4 (b/4)
Terms: Binomial
Degree: Linear
