Answer:
To make the cup 64.57 square inches of plastic were used.
Step-by-step explanation:
A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:
area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches
area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches
surface area of the cup = area of the base + area of the walls = 9.616 + 54.95
surface area of the cup = 64.57 square inches
To make the cup 64.57 square inches of plastic were used.
Answer:
Ans: (-5, 5)
-5 < x < 5
Step-by-step explanation:
Standard form: f(x) = x^2 - 25 < 0.
First solve x^2 - 25 = 0 --> x = +- 5
Use the algebraic method to solve f(x) < 0. Between the 2 real roots (-5) and (5), f(x) < 0, as opposite in sign to a = 1.
Answer by open interval: (-5, 5)
Answer:
Step-by-step explanation: You need to find a the lowest number that the denominators can be timed by. In you're case. You can just times 5 by 2 = 10
So that both the denominators are 10. And the denominator that was once 5. The numerator of that fraction also needs to be timed by 2.
So then you have 7 18/10 - 6 15/10
Then you can convert them to to proper fractions 8 8/10 - 7 5/10
Then you can take away the fractions so it's
8 8/10 - 7 5/10 = 1 3/10
Diameter = 8 cm
radius = diameter/2 = 4 cm
A = pi * r^2
A = pi * (4 cm)^2
A = 16pi cm^2
