All categories

3 years ago

A point in the figure is selected at random. Find the probability that the point will be in the part that is not shaded

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

Answer with Step-by-step explanation:

The figure is in the shape of a square

Let length of square be 2r

The, radius of the semicircles will be r

Area of shaded region i.e. Area of two semicircles=Area of a circle

= πr²

Area of whole figure= area of square=(2r)²

=4r²

area of region that is not shaded=(2r)²-πr²

= (4-π)r²

P(point will be in part that is not shaded)

= area of region not shaded/total area of figure

= (4-π)/4

= 0.2146

≈ 20%

Hence, the correct option is:

D about 20%

Mariulka [41]3 years ago

4 0

I believe the answer is 25% or C). If you flip the half circles around then you get a full circle. When you look at the corners it is about 25%

You might be interested in

A rectangular box is to have a square base and a volume of 12 ft3. If the material for the base costs $0.17/ft2, the material fo

katen-ka-za [31]

Answer:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

Step-by-step explanation:

Let the dimensions of the box be x, y and z

The rectangular box has a square base.

Therefore, Volume of the box $V=x^2z$

Volume of the box $=12 ft^3\\$

$Therefore, x^2z=12\\z=\frac{12}{x^2}$

The material for the base costs $\$0.17/ft^2$ , the material for the sides costs $\$0.10/ft^2$ , and the material for the top costs $\$0.13/ft^2$ .

Area of the base $=x^2$

Cost of the Base $=\$0.17x^2$

Area of the sides $=4xz$

Cost of the sides= $=\$0.10(4xz)$

Area of the Top $=x^2$

Cost of the Base $=\$0.13x^2$

Total Cost, $C(x,z) =0.17x^2+0.13x^2+0.10(4xz)$

Substituting $z=\frac{12}{x^2}$

$C(x) =0.17x^2+0.13x^2+0.10(4x)(\frac{12}{x^2})\\C(x)=0.3x^2+\frac{4.8}{x} \\C(x)=\dfrac{0.3x^3+4.8}{x}$

To minimize C(x), we solve for the derivative and obtain its critical point

$C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2$

Recall: $z=\frac{12}{x^2}=\frac{12}{2^2}=3\\$

Therefore, the dimensions that minimizes the cost of the box are:

(a)Length =2 feet

(b)Width =2 feet

(c)Height=3 feet

7 0

3 years ago

The equation c = start fraction: numerator: 5 denominator: 9: end fraction (f – 32) is used to convert temperature from degrees

krek1111 [17]

It will increase by 5/9 of a degree.

If you convert the given equation into slope intercept form, you will have:

c = (5/9)f + 160/9

In this form, it is easier to see the slope. The line would be increase by a rate of 5/9.

3 0

3 years ago

I need help with this

jeka57 [31]

Answer:

Step-by-step explanation:

supplementary agles add up to 180 degrees, so when you subtract 162 from 180, you get 18. Hope this helped :D

6 0

3 years ago

Read 2 more answers

Pluto is 5913000,000 km from the sun. Express the number in standard form.

hram777 [196]

Answer:

$5.913000000 \times {10}^{9}$

8 0

3 years ago

The volume of a cube is 125 cubic meters. What is the length (in meters) of one edge of the cube?

drek231 [11]

Answer:

the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

5 0

3 years ago