The area of the irregular shape is 100
Answer:
1. 17 whole cans
2. Yes, 38.65 in2 of metal
Step-by-step explanation:
First we need to find the surface area of the can.
The base and the top of the can have a area of pi*r^2.
If the radius is half the diameter, we have r = 3/2 = 1.5 inches, so:
A1 = pi * 1.5^2 = 7.069 in2
The side of the can has a area of pi*d*h. If the diameter is 3 inches and the height is 4.5 inches, we have:
A2 = pi*3*4.5 = 42.412 in2
So the total area of the can is:
2*A1 + A2 = 56.55 in2
To know how many cans we can make with 1000 in2 of metal, we just need to divide the total metal for the surface area of each can:
number of cans = 1000 / 56.55 = 17.684 cans
We can make 17 cans, and the metal left over is 1000 - 17 * 56.55 = 38.65 in2
Answer:
19.55 square km
Step-by-step explanation:
Area of a circle is given by A = πr²
And area of it's sector is given by the formula,
A =
Here, r = Radius of the circle
θ = Angle at the center formed by the arc
Substituting values in the given formula,
Area =
=
= 19.547
≈ 19.55 square km
Therefore, area of the sector will be 19.55 square km.
Answer:
-3x + 12
Step-by-step explanation:
Distribute the 3 to the numbers in the parenthesis.
3x + 12 -6x
-3x + 12