There are two pieces of wires, each of length 66 cm. One wire is bent into a square and the other wire is bent into a circle. Find (a) the area of the square, (b) the area of the circle.

Answers

Answer 1

Answer:

Area of Circle  = 346.5 cm².

Area of square = 272.25 cm ² .

Step-by-step explanation:

So , 2πR = 66

2 × 22 / 7 × R = 66

R comes out is 21/2 cm .

Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2

= 693 / 2 = 346.5 cm².

If bent into the shape of a square ;

4 a = 66

a = 33/2 . ( Side of a square )

Area of square = a ² = 33×33/4 = 1089/4

= 272.25 cm ² .


Related Questions

please simplify the answer

Answers

Answer:

[tex] 56\: in^2[/tex]

Step-by-step explanation:

Surface area of the net = 4* Area of one triangle + Area of square

[tex] = 4*\frac{1}{2}*4*5 + (4)^2[/tex]

[tex] = 40 + 16[/tex]

[tex] = 56\: in^2[/tex]

HELP PLEASE !!!!!!!!!!!

Answers

Answer:

I think A sorry if wrong

Step-by-step explanation:

have a good day

3+x=7 what is x .........................

Answers

Answer:

4

Step-by-step explanation:

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

3+x = 7

Subtract 3 from each side

3+x-3 = 7-3

x = 4

asap need help quick

Answers

Answer:

Answer:11

Step-by-Step Answer:

When we multiply 11 with 1\2 then thier answer will be 11\2

37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280

Answers

The equation that models the scenario is 16p+32q = 1,280.

Which equation models the scenario?

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

marry has to carry 323 apples from a farm to the market. how many baskets will she need, given that each basket can hold 48 apples?

Answers

Answer:

she will need about 7 baskets, the proper number is 6.7 but round up and its 7

Step-by-step explanation:

hope this helps!

Help please!

preform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use size for measurements of very large or very small quantities (e.g use kilometers per year for sea floor apeading.) intercept scientific notation that has been generated by technology

Answers

Scientific Notation is EASY.

Just move the decimal to the right if it is positive:

6.2 x 10¹ = 62

6.2 x 10² = 620

6.2 x 10³ = 6,200

6.2 x 10⁴ = 62,000

6.2 x 10⁵ = 620,000

6.2 x 10⁶ = 6,200,000

Move the decimal to the left if it is negative:

6.2 x 10⁻¹ .62

6.2 x 10⁻² = .062

6.2 x 10⁻³ = .0062

6.2 x 10⁻⁴ = .00062

6.2 x 10⁻⁵ = .000062

6.2 x 10⁻⁶ = .0000062

What about about 6.2 x 10⁰?

6.2 It wouldn't change location.

I hope this helps!

In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system

Answers

Answer:

Around 1.2 million

Step-by-step explanation:

If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million

What is the area of a polygon with vertices of (-2,-4), (4,-4), (4, 4), and (-5, 4)?
216 square units
30 square units
120 square units
60 square units

Answers

Answer: 60 square units

Step-by-step explanation: i hope that helps buddy :)

I don’t know how to do this please help

Answers

Answer:

  84 cm²

Step-by-step explanation:

The figure has a uniform horizontal cross section, so its area is the product of that cross section length and its vertical dimension.

__

  A = bh

  A = (6 cm)(14 cm) = 84 cm²

The area of the shape is 84 square centimeters.

_____

Additional comment

You could decompose the figure into a rectangle with base 6 and height 8, and a parallelogram with base 6 and height 14-8=6. The area formula is the same for each: A = bh, so the area of the composite figure is ...

  A = 6×8 +6×(14 -8)

  = 6×(8 +(14 -8))

  = 6×14 . . . . same as above.

Which one of the following inequalities would require you to reverse the symbol?
a) 2x > -14
b) -14 < 2x
c) -14 ≤ 2x
d) -2x ≥ -14

Answers

Answer: D
Explanation: When you divide a number by a negative number, you switch the symbol. (Pls mark brainliest)

Which equation can be solved by using this system of equations?

StartLayout Enlarged left-brace 1st Row y = 3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 2nd Row y = 4 x Superscript 4 Baseline + 6 x cubed minus 11 EndLayout

Answers

The equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

How to determine the equation?

The correct formats of the equations are:

y = 3x^5 - 5x^3 + 2x^2 - 10x + 4

y = 4x^4 + 6x^3 - 11

To determine the equation, we substitute 4x^4 + 6x^3 - 11 for y in the first equation.

So, we have:

4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

Hence, the equation that can be solved using the system of equations is 4x^4 + 6x^3 - 11 = 3x^5 - 5x^3 + 2x^2 - 10x + 4

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Suppose that $b$ is a positive integer greater than or equal to $2.$ When $197$ is converted to base $b$, the resulting representation has $4$ digits. What is the number of possible values for $b$

Answers

Complete Question

Suppose that b is a positive integer greater than or equal to 2. When 197 is converted to base b, the resulting representation has 4 digits. What is the number of possible values for b?

The possible values of b are 4 and 5

How to determine the possible numbers of b?

The conditions are given as:

b is at least 2When 197 in base b has 4 digits.

So, we start by converting 197 to base 2 and above.

This is done as follows:

197 to base 2

2 | 197

    98 R 1

    49 R 0

    24 R 1

    12 R 0

    6 R 0

    3 R 0

    1 R 1

    0 R 1

So, we have:

197 = 11000101 in base 2

11000101 has more than 4 digits.

This means that b cannot be 2

Using the above method of conversion, we have:

197 = 21022 in base 3197 = 3011 in base 4197 = 1242 in base 5197 = 525 in base 6197 = 401 in base 7

See that as the base increases, the number of digits decreases.

The numbers in base 4 and 5 have 4 digits.

Hence, the possible values of b are 4 and 5

Read more about base conversions at:

https://brainly.com/question/17946394

#SPJ4

I can write a system of linear equations and inequalities from context.
One smartphone plan costs $40 per month and an
extra $3.50 per gigabyte of data used each month.
Another smartphone plan costs $75 per month and
$0.50 per gigabyte of data used each month.
Let c represent the cost of a phone plan, m represent
number of months, and g represent the number of
gigabytes of data used each month. Write a system of
two linear equations that could be used to determine
the number of gigabytes used in a month so that the
two phone plans cost the same amount.
Equation 1:
Equation 2:

Answers

An equation is formed of two equal expressions. The number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let c represent the cost of a phone plan, m represent the number of months, and g represent the number of gigabytes of data used each month.

Equation1: C = 40m + 3.5mg = (40+3.5g)m

Equation2: C = 75m + 0.5mg = (75+0.5g)m

Equating C,

(40+3.5g)m = (75+0.5g)m

40 + 3.5g = 75 + 0.5g

3g = 35

g = 11.6667 gigabyte of data per month

Hence, the number of gigabytes that is used in a month so that the two phone plans cost the same amount is 11.6667 Gigabyte.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Evaluate the following expression.
(-3)-² =

Answers

Answer:

The answer to this is 9.

Step-by-step explanation:

First of all, you wrote the expression wrong, but that's okay. It's supposed to be written as (-3)².

Second of all, since multiplying two negatives makes a positive and squaring is just multiplying the integer to itself, then -3×-3=9. I hope this helps! :)

A helicopter flies 125 miles west and 20 miles north and lands.

The helicopter flies back on a direct course.

What is its bearing?

Answers

The answer is 6.25 is it dividing

Solve for x: 1 over 3 (2x − 8) = 4. (1 point)

Group of answer choices

2

6

10

10 over 3

Answers

Answer:

x=6

Step-by-step explanation:

[tex]2x - 8 = 4 \\ 2x = 4 + 8 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

could someone pleasee help me will give brainliest

Answers

the bottom angle is also 112 because of the equality in sides

Find the 50th term of the sequence: 65536,49152,36846,27648

Answers

Step-by-step explanation:

first you should check whether the sequence is arithmetic and geometric .as you see the sequence is arithmetic with the common difference of -16384.

the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle​

Answers

Answer:

length = 6cm , breadth = 4cm

Step-by-step explanation:

Let's assume length = l

breadth = b

Given perimeter of a rectangle = 20 cm

2(l+b) = 20

l+b = 20/2

l+b = 10

l = 10 - b____(1)

Given area of rectangle = 24 cm²

l×b = 24____(2)

(1) in (2) => l × b = 24

(10-b) × b = 24

10b - b² = 24

10b = 24 + b²

0 = b² - 10b + 24

b² - 10b + 24 = 0

b² + 6b + 4b + 24 = 0

b(b+6) +4(b+6) = 0

(b+4)(b+6) = 0

b+4 = 0. &. b+6 = 0

b = -4. b = -6

breadth must be less than length and it should be positive

So b = 4 cm

b=4 in (1)

(1)=> l = 10 - b

l = 10 - 4

l = 6

Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius 8 cm. give your answer in terms of pi.

Answers

The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².

What is the Area of a Circle?

Area of a circle = πr² (radius of the circle = r).

Given the following:

Radius of sphere = 8 cmDistance of the plane from the center of the sphere = 7 cm

Radius of the circle = √((radius of sphere)² - (distance of the  plane  from  the  center of sphere²)) = √(8² - 7²)

Radius of the circle = 3.87 cm

Area of the circle = π(3.87²) ≈ 15π cm².

Learn more about the area of a circle on:

https://brainly.com/question/15265467

#SPJ4

13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units

Answers

Answer:

108 square units

Step-by-step explanation:

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

In a lab, a substance was cooled by 6 degrees celsius each hour for 12 hours.
The total change in temperature was what?

Answers

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

Identify the angle of depression.

Answers

Answer:

4

Step-by-step explanation:

An angle of elevation is the angle formed by a horizontal line and a line of sight to a point above the line.

An angle of depression is the angle formed by a horizontal line and a line of sight to a point below the line.

∠3 is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

∠4 is an angle of depression because it is formed by the line of sight that is below the horizontal line.

∠5 is neither an angle of depression nor an angle of elevation because it is not formed by the horizontal line and the line of sight.

∠6  is an angle of elevation because it is formed by the line of sight that is above the horizontal line.

Therefore, the angle of depression is ∠4.

Please help me quick !!
Will mark whoever is first brainliest

Answers

Answer:

c

Step-by-step explanation:

y goes up by 4, so the each step is by 4, so that is the slope, which is the number before x, and then you subtract 4 to find the y-intercept, and 3-4=-1

Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?

Answers

Answer:

I think it's 160...

Step-by-step explanation:

1/4 of 1000 is 250

250

- 90

____

160

Find f(2) if f(x)= (x +1)^2

Answers

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

Answer:

9

Step-by-step explanation:

43.7826087 rounded to the nearest tenth

Answers

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

43.8 is that answer hope this helps

can i have help with this please

Answers

Answer:

B) 7r² - r -1

Step-by-step explanation:

(3r² + 7r + 1) + (4r² - 8r - 2)

1. Remove unnecessary parentheses

3r² + 7r + 1 + 4r² - 8r - 2

2. Combine like terms (ex: r and -2r, n and 4n)

7r² - r -1

Therefore, the correct answer is B.

Hope this helps!

Answer: Heyaa! ~

Your Answer is... 7r²− r −1,  Which is B.

Step-by-step explanation:

Subtract the numbers, And then combine like terms,

Solution: 7r²− r −1

Hopefully this helps you! ^

which of the following is a statement of the triangle inequality theorem​

Answers

Answer:

A

Step-by-step explanation:

Pick any two sides....their sum must be greater than the third side....

  a+b > c

  a+c > b

  c + b > a

Other Questions
The magnet below is cut in half. What will be the result how is California and the U.S government different and the samewrite the differences and the things in common then write the stuff that the california has that the U>S government does not have describe a weather station that will be used to collect weather data it should collect data that are needed to make forecasts. explain what data are needed how the station would be powered and any other relevant information . Then sketch it out (please draw a sketch arigato) A recently established law school constructed its building in a quiet residential neighborhood. The law school had obtained all of the necessary municipal permits for the construction of the building, which included a large clock tower whose clock chimed every hour. The chimes disturbed only one homeowner in the neighborhood, who had purchased her house prior to the construction of the building. The homeowner was abnormally sensitive to ringing sounds, such as bells and sirens, and found the chimes to be extremely annoying. Required:In a nuisance action by the homeowner against the law school, will the homeowner prevail? which event in amaterasu does the author include to create suspense? I dont know how to do this please help AD, BE and CF are all diameters of the circle. The measure of angle AOB is 40 degrees. The measure of angle DOF is 120 degrees.Find the measures of the following angles:1. BOC2. COD Answer this for me please? Evaluate the following expression.(-3)- = Whats the answer????#24 What should you do to prepare for your presentation? check all that apply. revise the presentation to make sure my media and notes are appropriate for the audience practice in front of a mirror or a friend, or record my voice memorize my speech so i will not need to use my notes time the presentation practice by reading my speech to myself to save my voice answer: (1 2 4) hello fellow indians Question: Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was full. ( 1L=1,000 cm 3). I want to learn more about mean.What is the mean?Numbers:4.5, 1, 9.25, 2, 6, 9. Solve for x: 1 over 3 (2x 8) = 4. (1 point)Group of answer choices261010 over 3 Which continent is Turkey in?a| Asiab| Africac| Europed| North America Which of the following versions is consistent with college-level writing and uses MLA format correctly? A Carolivia Herron in Nappy Hair says, "it ain't easy to come by that kind of hair, No it ain't." (2). B In Nappy Hair, one of the main characters celebrates African-American hairstyles when he announces, "it ain't easy to come by that kind of hair, No it ain't" (Herron 2). C In the story Nappy Hair, "it ain't easy to come by that kind of hair, No it ain't" (Herron, 2). D Carolivia Herron talks about nappy hair in Nappy Hair. "it ain't easy to come by that kind of hair, No it ain't". In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system when a number x is added to it's square, the total is 12. find two possible values of x You are towing a camper and have decided it is safe to pass a tractor trailer. As you move past the tractor trailer, the operator turns the headlights off briefly then back on. What is the driver trying to communicate to you A 5.0 kg box is sitting on a scale in an elevator. Before the elevator moves, the scale reads 49.05 N. When the elevator accelerates into motion, the scale momentarily reads 46.75 N. If the acceleration due to gravity is 9.81 m/s2, what is the magnitude of the acceleration of the elevator? (1 point)A) 0.46 m/s2B) 0.57 m/s2C) 0.87 m/s2D) 0.91 m/s2