The diagram shows a metal plate in the shape of a rectangle. The rectangle has length 20 cm and width 12 cm. Two identical circles, each of diameter 6 cm, have been cut out of the plate. Work out the area of the shaded region of the metal plate. Give your answer correct to the nearest cm2. *will mark brainliest*

A ≈ 183 cm²

Step-by-step explanation:

Step 1: Find the area of the 2 circles

A = πr²

r = 6/2 = 3

A = π(3)²

A = 9π

Since there are 2 circles, 9π(2) = 18π

Step 2: Find area of entire rectangle

A = lw

A = 12(20)

A = 240

Step 3: Subtract the area of the circles from the area of the entire rectangle

240 - 18π

Shaded area = 183.451 cm²

And we have our answer!

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: