Janna has three flat plates easy the same size. she stores them in an l shaped drawer as shown so that they fit snuggly inside with no space between the edges of the drawer and the plates. approximately how many square centimeters of the bottom of the drawer are not covered by plates? pls also, explain how you got the answer. they’re 40 cm.

258 square centimeters

Step-by-step explanation:

Consider the image attached below.

We can see that the length of each side of L shape is 40 cm and in 2 plates fit in between.

We need to find the are which is not covered by the plates. Let us calculate the area of L shape first.

We can see that it is a square with  one fourth of its area missing. So the area of square with side length 40 cm is,

, where '' is the area of square.

Now, one fourth of the area is not there in the L shape, so one-fourth of is,

Therefore, the area of L shape drawer is,

Now, we can see that the diameter of each circular plate is, 20 cm. So the radius of circular plate is 10 cm. Let be the area of each circular plate, so,

There are three plates so the total area is,

Hence, the area not covered by the plates is,

=

So, the area not covered by three flat plates is 258 square centimeters.

answer:

it will cost 480 dollars to refurbish the larger wood floor

step-by-step explanation:

as it's a ratio of 4 that costs 384 dollars, divide the price by the ratio

384 / 4 = 96 dollars

96 dollars per unit of the ratio

now to get the price to refurbish the larger wood floor, times the price by the units

96 * 5 = 480

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