A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for . 23 in. 24 in. 25 in. 26 in.

Answers

Answer 1

Answer:

23 in

Step-by-step explanation:

We know the area of the circular disc is A = πr² where r = radius and π = 3.14.

So, r = √(A/π)

Now, if A = 1650 square inches,

r = √(A/π)

= √(1650 in²/π)

= √525.48 in²

= 22.92 in

≅ 22.9 in

Also, if A = 1700 square inches,

r = √(A/π)

= √(1700 in²/π)

= √541.40 in²

= 23.27 in

≅ 23.3 in

If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²

then, the radius is between 22.9 in < r < 23.3 in.

Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.

Answer 2

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

What is a circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the area of the circular disc is 1650in², the radius r will be;

A = πr²

1650in² = 3.14 × r²

r² = 1650in² / 3.14

r² = 525.4777in²

r = √( 525.4777in² )

r = 22.9in

Also, if the area of the circular disc is 1700in², the radius r will be;

A = πr²

1700in² = 3.14 × r²

r² = 1700in² / 3.14

r² = 541.40127in²

r = √( 541.40127in² )

r = 23.3in

Next we take the average of the two radii

Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

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Related Questions

How many expressions can you find using and that have a value of 12 a=6 b=4 c=-2

Answers

Answer:

Step-by-step explanation:

Some of the expressions that can be derived that have the values of 12 are:

i. 2a = 2 x 6

      = 12

ii. 3b = 3 x 4

        = 12

iii. (b  + c) x a = (4 - 2) x 6

                = 2 x 6

                = 12

iv. 2b + [tex]c^{2}[/tex] = (2 x 4) + (-2 x -2)

                = 8 + 4

                = 12

v. [tex]b^{2}[/tex] -  [tex]c^{2}[/tex] = (4 x 4) - (-2 x -2)

             = 16 - 4

             = 12

vi. [tex]c^{4}[/tex] - b = (-2 x -2 x -2 x -2) + 4

             = 16 - 4

             = 12

             

3x - 4y = 6 and 5x + 8y = -1

Answers

Answer:

1.    slope:3/4

         y-int: (0,-3,2)

2.         slope: -5/8

                y-int: (0,-1/8)

Step-by-step explanation:

Answer:

Point Form: (1,−3/4)

Equation Form: x=1, y= −3/4

Step-by-step explanation:

Solve for x in the first equation.

x=2+4y/3

5x+8y=−1

Replace all occurrences of x with 2+4y/3 in each equation.

10+44y/3=−1

x=2+4y/3

Solve for y in the first equation.

y=−3/4

x=2+4y/3

Replace all occurrences of y with −3/4 in each equation.

x=1

y=−3/4

answer the following table:)

Answers

The answer is 0

Explanation
.......

(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___

Answers

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

please help
if right i give brainliest i need help

Answers

Answer:

A-J=4

B-G=50

C-F=2

D-I=32

E-H=8

On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inches
between the two walls, how many feet separate the walls?

Answers

Answer:

56 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

what fraction is equivalent to .25

Answers

2/8 ndndndnsndndnjdjdndnd

Answer:

2/8

Step-by-step explanation:

Thomas has two bags, one bag with 6 yellow and 5 red marbles, and one with 2 green and 4 blue marbles. If his friend Nick pulls one marble from each bag, what is the probability of him getting one red and one blue marble?

Answers

probability of red is 5/11
probability of blue is 2/3
multiply them together to get about a thirty percent chance

The probability of him getting one red marble from 5 red marbles in one bag and one blue marble from 4 blue marbles in the other bag is 4/11.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of marbles in first bag = 11

Yellow marbles = 6

Red marbles = 5

Number of marbles in the second bag = 6

Green marbles = 2

Blue marbles = 4

The probability of him getting one red and one blue marble.

= [tex]\frac{^5C_1}{^{11}C_1} \times\frac{^4C_1}{6^C_1}[/tex]

= 5/11 x 4/5

= 4/11

Thus,

The probability of him getting one red and one blue marble is 4/11.

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Please help me on this question

Answers

Answer:

(g + 10) - 8

Step-by-step explanation:

Answer:

g+10=y-8

Step-by-step explanation:

Brainly plss?

Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25
on a t-shirt. If the sales tax is 8.25%, how much will she pay in all?

How much was the total purchase without tax?

How much was the tax?

How much will she pay in all, purchase plus tax

Answers

Answer:

1. $137.75

3. $149.15

Step-by-step explanation:

1.

12.25+125.50=137.75

3. 8.25% of 137.75= 11.4

137.75+11.4=149.15

Answer:

1. $137.75

3. $149.15

Step-by-step explanation:

I NEED THIS RIGHT NOW ASAP PLEASE

Answers

Answer:

1:4

Step-by-step explanation:

1:4

As written in the problem the ratio would be 5:20, and 5 divided by 5 is 1, 20 divided by 5 is 4 therefore the ratio from pen to pencils is 1:4.

I need answer asap 30 points

Answers

Answer:

1.it is the last one

2. the first one

3.the secound one

Step-by-step explanation:

!Help!

Shop-owner Anatole is selling his sweaters for 45.96, but tries to bargain with you and tells you he will take 20% off his price if you buy it from him. Shop-owner Sergei is also selling sweaters and tells you he will sell you a sweater for 25% off of his regular price of 46.78 if you buy it from him. How much will you save if you take the better deal? Support your answer by comparing both sale prices

Answers

Answer:

How much will you save if you take the better deal?

Antole Store discount: $ 45.96 x 20% = $ 9.99

Sergei Store Discount: $ 46.75 x 25% = $ 11.69

If you buy at a Sergei store, you get a discount on your payout compared to an Antole store of $ 1.7

Step-by-step explanation:

What is the solution to the equation shown below?
2
32 +5=1
A) X= -6
B) X= 4
C) X= -4.5
D) X= 9

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2/3x+5=1  Equation

Step 2

2/3x+5=1  Simplify

2/3x=-4

Step 3

2/3x=-4  Simplify

answer

x=-6

Your correct answer is A ,x=-6

The sum of 3 times a number and 16 is more than 25. Write an inequality and solve it.

Answers

Answer:

3x+16 >= 25 (Greater than or equal to) Solved: x>= 3

Step-by-step explanation:

I dont know how to put the line under the > sign so >= means greather than or equal to

Pls help due ASAP
Show workings pls

Answers

the answer is c
you (4,4) and another point need to be double (2,-5) so the other point needs to add to (4,-10) so 4 + 0 is 4 and 4 + - 14 = 10

The ratio of girls to boys in Mr.
Day's class is 3 to 5. If there are 15
boys in Mr. Day's class, how many
more boys are there
than girls?

Answers

Answer: 6

Step-by-step explanation:

15-9

Answer:

9:15   There is 6 more boys than girls.

Step-by-step explanation:

Have a blessed day! I hope this helps! Please give me brainliest!

Penny reads 14 pages in 1/3 hour. What is the unit rate for pages per​ hour? For hours per​ page?

Answers

Answer: your

Pages per hour: 42

Hours per page: 1/42 of a hour

Step-by-step explanation:

14 x 3 = 42

1 hour divided by 42 pages = 1/42 of an hour per page

I'm horrible at this please help:((((​

Answers

Step-by-step explanation:

You can insert different values of x to find y

For example:

x = 4

Plug in x into the equation

y = -1/2(4) + 5

y = -2 + 5

y = 3

So your point will be (4, 3)

If you do 1 more like this, you can draw a line between them. Or you can use Desmos to graph the line.

Hope this helped you!!

Find the side lengths asked below:

Answers

Answer:

WZ=

UZ=

Step-by-step explanation:

First, you have to find the x.

3x-6+x+6

Combine like terms

(3x+x) (-6+6)

4x+0

x=4.

WZ=3(4)-6

12-6

6

UZ= (4)+6

10

Which number has a 5 in the ten thousandths place?


0.20815


0.30256


0.40571


0.50098

Answers

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

second option

0.30256

it's got 5 in ten thousandths place.

have a great day :)

Susanna added 2 ×
1
100
to 204.197. What is the sum?

Answers

Answer:

204.217

Step-by-step explanation:

1/6 x 3/4

Pls ASAP

Brainpower to correct-est and fastest answer.

If you lie, I'll know

Answers

You multiply the The numerator and the denominator and then simplify your answer

12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ

Answers

Answer:

The product of this equation will be greater than 12,400

Step-by-step explanation:

Make this an expression

12,400x1 1/5

Now, Solve this expression

-make 1 1/5 an improper fraction

12,400x 6/5

-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1

12,400/1 x 6/5

12,400x6= 74400

1x5=5

74400/5= 14880

Is 14880 less than or greater than 12400? It is greater.

what is the value of y in the following system?
y=3x-5
6x+3y=15

Answers

Step-by-step explanation:

y=3x-5

6x+3y=15

6x+3(3x-5)=15

6x+9x-15=15

15x-15=15

+15 +15

15x=30

/15. /15

x=2

6(2)+3y=15

12+3y=15

-12. -12

3y=3

/3 /3

y=1

(2,1)

The answer is (2,1)

Step-by-step explanation:

6x + 3(3x - 5) = 15

6x + 9x - 15 = 15

15x - 15 = 15

+15 +15

15x = 30

/15 /15

x = 2

6(2) + 3y = 15

12 + 3y = 15

-12 -12

3y = 3

/3 /3

y = 1

(2, 1)

This should be right if it is please make me brainliest.

help pretty pleasee

Answers

Answer:

so you just put both equations together and do the equation like so hers an example

explanation: (7x-22)-(4x+5)= but if your looking for X

x=9


Peaches are being sold for $2 per pound. The customer created a model to represent the total cost of peaches bought
If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best
describes the values of x and y

Answers

Answer:

The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.Step-by-step explanation:

Answer:

if it is 2$ per pound then 2 time how much you are bying.

Step-by-step explanation:

44 laps in 7 days = ____ laps in 14 days

Answers

Answer:88

Step-by-step explanation:

Answer:

88?

Step-by-step explanation:

(Giving brainliest!!)

Draw a fraction model to solve this equation

3 ÷ 1/8

Here is an image if needed!:

Answers

Answer:

It is 24

Step-by-step explanation:

Use keep change flip, keep the 3 change the division to multiplication, and flip the 1/8 to 8/1 and 3 times 8/1 is 24

This CD case is a rectangle that is 5.5” tall by 5.75” wide. What is the area of the CD case?

Answers

31.625

Step-by-step explanation:

Multiply height by width so

5.5(5.75) = 31.625

The area of the CD case will be [tex]31.625[/tex] squared inch .

What is area ?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

Area [tex]= Length * Breadth[/tex]

We have,

A rectangle.

Length of rectangle [tex]=5.5"[/tex]

Breadth of rectangle [tex]=5.75"[/tex]

So,

The area of rectangle [tex]= Length * Breadth[/tex]

                                    [tex]=5.5*5.75[/tex]

                                    [tex]= 31.625[/tex] squared inch

So, the area of CD case is [tex]31.625[/tex] squared inch.

Hence, we can say that the area of the CD case will be [tex]31.625[/tex] squared inch .

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