A circle is drawn inside a square.
a
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of t.

A Circle Is Drawn Inside A Square.a20 CmThe Square Has A Height Of 20 Cm.Work Out The Shaded Area.Give

Answers

Answer 1

Shaded area = 21.46

Step-by-step explanation:

First find area of square,

Area = length × width

A = 20 × 20

A = 400 cm^2

Secondly, find area of circle

Area of circle = (π)r^2

A = (π)10^2

A = 100 π

Thirdly, find the area outside of the circle

Area of square - Area of circle

400cm^2 - 100π

= 85.84

lastly divide the answer by 4 to find the shaded area

85.84 ÷ 4

= 21.46


Related Questions

A security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ ​ R ​ − p ^ ​ C ​ )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample

Answers

Answer:

we cannot assume independence for the burglaries sampled from commercial burglaries. (C)

Step-by-step explanation: KHAN KNOWS ALL

Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..

Answers

Step-by-step explanation:

sum of angles in a straight line is 180°

Therefore,

(3x - 20) + (2x) = 180°

5x =200

x =200/5

x=40°

Angle A=3x - 20

=3(40) - 20

=100°

Angle B=2x

=2(40)

=80°

Angle A=2x - 15

=2(40) - 15

=65°

Find the volume of a right rectangular prism if the dimensions of the base are 6.8 centimeters by 12.5 centimeters and the height is 13 centimeters.


A.
B.
C.
D.

Answers

Answer:

6.8 x 12.5 x 13 = 1105

Step-by-step explanation:

Answer:

the answer is 1105

Step-by-step explanation:

please help fast it is due​

Answers

Answer:

25

Step-by-step explanation:

use the formulae SOHCAHTOA. cos45=adjacent/hypotenuse. cos45=x/25square root 2=25

Please help me with this question

Answers

Step-by-step explanation:

Insribed angle is half the measure of intercepted arc.

m∠CAB = 1/2mCDB

Since O is the center COB is the diameter of this circle.

The diameter splits the circle into two equal arcs. As the full circle is 360°,  each semicircle is 180°.

So

1/2mCDB = 1/2(180°) = 90°

And the angle measure is

m∠CAB = 90

Proved

Answer:

[tex]\overline{\sf COB}[/tex] is the diameter of circle O.

The angle on a straight line is 180°  ⇒  ∠COB = 180°

The angle at the center of a circle is twice the angle at the circumference:

⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°

⇒ ∠CAB = 90°

Marina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(factor of 10)? 115 415 13 23

Answers

Answer:

4/15

Step-by-step explanation:

Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.

We have to find the probability P(factor of 10)

The factors of 10 are 1, 2, 5, and 10.

Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).

Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:

P(factor of 10) = 4/15

Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.

To learn more on probability click:

https://brainly.com/question/11234923

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You want to rent a car. The cost is $120 per day. You are allowed 100 miles per day--but any mileage above that amount will cost $0.35 per mile. You rent the car for 5 days, and drive 925 miles. The car gets 25 miles to the gallon, and a gallon of gas costs $4.
pls help im so confused

Answers

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

What is the measure of \angle D∠Dangle, D?

Answers

Answer:

74⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰

74 degrees just 180-96

Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.​
(I figured it out y=3/2 x +7)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

with m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

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Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?

Answers

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?

Answers

Answer:

$90.18

Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price

9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18

Use the two-way frequency table to calculate the probability that the person is a democrat, given the fact that the person supports the issue,
P(democrat supports the issue)

Answers

Answer:

23/58

Step-by-step explanation:

number of people that support the issue. (58)

start with that first because it is given

now find the number of democrats that are in that column which is 23

If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?

Answers

Answer:

D.

Step-by-step explanation:

It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.

-------------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

I’m don’t have much points please help

Answers

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Samantha runs 4 1/2 miles in 45 minutes, or 3/4 hour. Nyomi runs 4 1/3 miles in 40 minutes or 2/3 hour. Who runs faster

Answers

Answer:✨Samantha✨

Step-by-step explanation:

2(x - y)2 - 9(x - y) + 10​

Answers

Answer:

Step-by-step explanation:

hello :

2(x - y)2 - 9(x - y) + 10​

calculate : 2(x²-2xy+y²) -9x+9y +10 = 2x²-4xy +2y²-9x+9y+10

The answer would be -5x + 5y + 10. Hope this helps and please mark brainliest!

What is the equation of the line that passes through (4, -1)
and has a slope of -5?
A y = -5x + 19
B y = -5x + 21
C y = -5x - 19
D y = -5x – 21

Answers

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

We have y=ax+b
Substitute all the informations we have :
-1= -5(4) +b
solve for b
B = 19
A is the correct answer

A customer will choose one card to buy a random. Based on the data in the table, which statement is true? Help!

Answers

The answer to it is that J is true.

plsss need help nowwww

Answers

Answer:

49/12

Step-by-step explanation:

1 ⅓ can be written as 1 + 1/3

1 ⅓

= 1 + 1/3

LCM = 3

= 3/3 + 1/3

= ( 3 + 1 )/3

= 4/3

2 ¾

= 2 + 3/4

LCM = 4

= 8/4 + 3/4

= ( 8 + 3 )/4

= 11/4

1 ⅓ + 2 ¾

= 4/3 + 11/4

LCM = 3 x 4 = 12

4/3 x 4/4

= ( 4 x 4 )/( 3 x 4 )

= 16/12

11/4

= 11/4 x 3/3

= ( 11 x 3 )/( 4 x 3 )

= 33/12

16/12 + 33/12

= ( 16 + 33 )/12

= 49/12

Answer:

I don’t know if it correct, but when I solved it I got 4 1/12

Step-by-step explanation:

(1+2) (1/3 + 3/4)

3 + 13/12

3 + 1 1/12

3 + 1 + 1/12

4 + 1 /12

4 1/12

What is the difference between calculating probability with “and” vs “or”?

Answers

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

Expand and simplify (x+6)(x−11)

Answers

Answer:

x^2 - 5x - 66

Step-by-step explanation:

1. Distrubute the x to the x and -11 so you will get x^2 - 11x

2. Distrubute the 6 to x and -11 and you get 6x - 66

3. Combine like terms (x^2 - 11x + 6x - 66) you will get x^2 - 5x - 66

If x = 5, then 3x + 4x - 15 equals:
A. 20
B. 15.
c. 40
D. 50
E 10

Answers

Answer:

20

Step-by-step explanation:

Given:

x = 5

Substitute the value of x into the expression:

⇒ 3x + 4x - 15

⇒ 3(5) + 4(5) - 15

Simplify the expression:

⇒ 15 + 20 - 15

⇒ 15 + 5

20 (Option A)

Answer:

A. 20

given function:

3(x) + 4(x) - 15

put x = 5

3(5) + 4(5) - 15

simplify

15 + 20 - 15

answer

20

Find the value of n x 5 when n=8

Answers

Answer:

40

Step-by-step explanation:

Since n=8, then you do 8x5=40.

Answer:

40

Step-by-step explanation:

n x 5

We know what n is equal (8), so we can substitute that number in the given equation.

n x 5 = (8) x 5 = 40

Therefore, the value of n x 5 when n = 8 is 40.

I hope this helps and please mark me as brainliest!

who ever can answer this qustion will be marked as brainlest and will get 30points

Answers

Hope this helps ..... :)

Select the correct answer
Choose the number sentence that ilustrates the distributive property of multiplication over

Answers

Answer:

b

Step-by-step explanation:

a x (b + c) = (a x b) + (a x c)

Answer:

B is the answer...

2(5+6)

(2×5)+(2×6)

Find the circumferences of both circles to the neartlest tenth

Answers

Answer with step by step explanation

First, let us find the circumference of the small circle.

The radius of the small circle is 5 cm.

So, now let us see the formula which is needed to find the circumference.

C = 2 π r

Let us find it now.

Circumference of the small circle.

C = 2 π r

C = 2 × 3.14 × 5

C = 31.4 cm

  ≈ 30 cm → nearest 10th

                                                                                                     

Now let us find the circumference of the big circle.

The radius of the big circle is 10 cm.

C = 2 π r

C =  2 × 3.14 × 10

C = 62.8 cm

   ≈  60 cm → nearest 10th

A 4-- pounds bag of chocolate bars cost $16.24. What is the unit price

Answers

Answer:

4.06 i think

The polygons are similar. Find the value of x.
PLEASE HELP

Answers

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{x}{21} =\frac{20}{14}[/tex]

[tex]x=\frac{(21)(20)}{14}=\frac{420}{14} =30[/tex]

Hope this helps

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

COUNT HOW MANY THERE ARE

Step-by-step explanation:

What is the perimeter of this rectangle pls help

Answers

P=2L+2W
P=(2*4)+(2*8)
P=8+16
P=24

Answer:

24

Step-by-step explanation:

Perimeter of a shape = sum of all lengths of sides

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the rectangle:

width = 4length = 8

⇒ Perimeter = (2 × 4) + (2 × 8)

                     = 8 + 16

                     = 24

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