Step-by-step explanation:
Area of the circle = pi×r²
= 22/7 × 6 × 6
= 113.14 unit²
Answer:
4x^2 - 4x - 3
Step-by-step explanation:
f(x) = 2x - 1
g(x) = x^2 - 4
g(f(x)) = ?
[substitute the x of g(x) with f(x)]
g(x) = x^2 - 4
g(f(x)) = (2x - 1)^2 - 4
[solve]
[binomial * binomial = quadratic equation]
[use FOIL method (first, outer, inner, last)]
g(f(x)) = (2x - 1)(2x - 1) - 4
g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4
[combine like terms]
g(f(x)) = 4x^2 - 2x - 2x + 1 - 4
g(f(x)) = 4x^2 - 4x - 3
To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.
Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.
</span>
In order to list the measurements from smallest to largest, we convert all the measurement to a common unit. In this item, we convert the given to meters, m.
A. The conversion factor to be used here is 1 m = 100 cm
(7 cm)(1 m / 100 cm) = 0.07 m
B. Conversion factor: 1 m = 1000 mm
(18 mm) (1 m / 1000 mm) = 0.018 m
C. Let us list this as is, 1 m
D. The conversion factor here is 1 m = 10 dm
(3 dm)(1 m / 10 dm) = 0.3 m
By the converted values, we are then able to arrange the given measurements.Hence, the arrangement should be 18 mm, 7 cm, 3 dm, and 1 m.
Answer:
The equation is exact
F(x,y) = 3x4/4 - 3xy -y2
Step-by-step explanation:
The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.
