All categories

3 years ago

FIND THE AREA OF THE SHADED REGION.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

This problem can be a bit confusing, so let's break it down:

First, let's take the area of the square (A = b · h):

A = 15 · 15

A = 225 cm²

Now comes the confusing part:

We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:

A = πr²

A = 15²π

A = 225π

1/4 A = 225π / 4

New Area = 56.25π

Or... about 176.7

Since we have both of the areas, all we have to do is subtract:

225 - 176.7 =

48.3.

Your final answer is 48.3 cm²

You might be interested in

What is the volume of a cylinder with a radius of 7 cm and height of 10 cm? In terms of pi.

Rama09 [41]

Volume equals to 1539.38 cm^3

5 0

3 years ago

If it takes 16 yards of material to make 5/2 costumes, how much material will be needed to make 19/2 costumes of that same size?

IRISSAK [1]

yards/costumes:16/(5/2) = X/(19/2)

Cross multiply.

(5/2)x = 152

Multiply both sides by 2/5.

x = 101 1/3 yards

7 0

3 years ago

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

GenaCL600 [577]

The answers are:
__________________________
[B]: "√12 " ; AND:
__________________________
[D]: "√20" .
__________________________
Note: "Irrational numbers" have decimals that are: 1) non-terminating; AND: 2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A) "√9" = 3 . Rule out this choice.
__________________________________
Choice C) "√16" = 4 . Rule out this choice.
__________________________________
Choice E) "√25" = 5. Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
[B]: "√12" ; and: [D]: "√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer. However, let us explore these two choices, using a calculator.
____________________________
[B]: "√12" = 3.4641016151377546

[D]: "√20" = 4.4721359549995794
_________________________________
These two answer choices should the correct answers.

6 0

3 years ago

A box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each co

Stells [14]

Volume of a rectangular box = length x width x height

From the problem statement,
length = 60 - 2x
width = 10 - 2x
height = x

where x is the height of the box or the side of the equal squares from each corner and turning up the sides

V = (60-2x) (10-2x) (x)
V = (60 - 2x) (10x - 2x^2)
V = 600x - 120x^2 -20x^2 + 4x^3
V = 4x^3 - 100x^2 + 600x

To maximize the volume, we differentiate the expression of the volume and equate it to zero.

V = 4x^3 - 100x^2 + 600x
dV/dx = 12x^2 - 200x + 600
12x^2 - 200x + 600 = 0

x^2 - 50/3x + 50 = 0

Solving for x,
x1 = 12.74 ; Volume = -315.56 (cannot be negative)
x2 = 3.92 ; Volume = 1056.31

So, the answer would be that the maximum volume would be 1056.31 cm^3.

6 0

3 years ago

if content settles for 1 1/2 hours before the liquid is remove .You fill the tank at 1:45 a.m when do you remove the liquid

artcher [175]

U fill the tank at 1:45 a.m......then u wait 1 1/2 hrs....

1:45 + 1 hr = 2:45.....2:45 + 30 minutes (because 1/2 hr = 30 minutes) =
3:15.....so u remove the liquid at 3:15 a.m.

3 0

3 years ago