A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56cm squared.
Work out value of x.
Give answer correct to 3 significant figures.

Answers

Answer 1

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of [tex]x[/tex] cm, then it's diagonal have the length of [tex]x\sqrt2[/tex] cm. Using the circle's area we can find the diagonal of the square, as shown below:

[tex]area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222[/tex]

Since the diameter of the circle is the same as the diagonal of the square, then:

[tex]x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971[/tex]

The side of the square is 5.971 cm

Answer 2

Answer:

5.97

Step-by-step explanation:


Related Questions

what is the measure of angle WZY in the given figure?

a.)25°
b.)40°
c.)60°
d.)70°

please help asap!!!!!!!!!!!!!

Answers

Answer:

I'm also trying to figure this out, but I know that the answer isn't 40.

Step-by-step explanation:

Answer:

B. 25 degrees

Step-by-step explanation:

What is the solution to the system X-3y=-9 and -3x+9y=12

Answers

Answer:

Step-by-step explanation:

hello : x-3y=-9 ...(*)

        -3x+9y=12...(**)

divided (**) by 3 : -x+3y =4 ...(**)

add(*) and(**) : 0=4  ..(false)

no reals solutions

What is the difference?

Answers

The answer is D because denominators on a subtraction problem with fractions stay the same and (x+2)(x+1) is the simplified way of x squared +3x+2

An arc subtends a central angle measuring \dfrac{3\pi}{5} 5 3π ​ start fraction, 3, pi, divided by, 5, end fraction radians. What fraction of the circumference is this arc?

Answers

Answer:

[tex]\dfrac{3}{10}[/tex]

Step-by-step explanation:

Length of an arc[tex]=\dfrac{\theta}{2\pi}X 2\pi r=\theta r[/tex]

If the central angle of the arc is [tex]\dfrac{3\pi}{5}[/tex]

Length of an arc[tex]=\dfrac{3\pi r}{5}[/tex]

Therefore:

Ratio of the length of the arc to the circumference

[tex]=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}[/tex]

Therefore, the arc is [tex]\dfrac{3}{10}[/tex] of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

Ivy randomly surveys students in her school to learn about mobile phone password use. Of 25 respondents, 14 use a password. Based on Ivy’s data, how many of the 275 students in her school would be expected to use a password?

Answers

Answer:154

Step-by-step explanation:

14/ 25 = x/275

multiply 14* 275 then divide by 25 to get 154

Answer:

168

Step-by-step explanation:

If 14/25 have passwords, and there are 275 students in her school, then the equation should be 275/25=12, 12*14=168

PLEASE HELP WILL GIVE BRAINILEST
Look at the figure below:


Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

Answers

Answer:

I think it was easy.

Determine what type of model best fits the given situation:
The membership of the local PTA increases by 3 members a day for each day during the month of September.
A. exponential
B. quadratic
C. none of these
D. linear

Answers

I believe it is linear. Since it has a constant of +3 everyday.

O número complexo 3−2
4−3 equivale a um número real.
O valor real de é:
(A) 8
9
.
(B) 9
8
.
(C) 3
4
.
(D) 4
3
.
(E) − 9
8

Answers

Answer:

ASDASD

Step-by-step explanation:

what is the area of a shape ​

Answers

Answer:

It depends on what shape your talking about, like: a rectangle - Length  multiplied by Width

Step-by-step explanation:

Hope this helped, plz mark as brainiest :)

Please help me in the question Below.
Am new to this chapter and I don't understand it too well.
Please help me

Answers

Answer:

x is 60°

y is 30°

(would really, reallly appreciate the brainliest)

Step-by-step explanation:

x can be seen as what's needed to do a full 180 ° turn when you already turned 120°

y is 60° bc the sum of all tree angles of a triangle is always 180°

90° are given with the little square, 60 by the similar reasoning as above

Answer:

Step-by-step explanation:

L an M are parallel & P is transversal.

So, 120, x are co-interior angles, ie 180

x +120 = 180

x = 180 - 120

x = 60

The angle  vertically opposite to x, will have the same value of x.

Vertically opposite angles are equal

In triangle, sum of angles = 180

60 + 90 + y = 180

150 + y =180

y =180 -  150

y =30

khan academy help please!​

Answers

Answer:

4 to 7

Step-by-step explanation:

d and q go in to a frasesal angle langatuide.

if a number is randomly chosen from the following list what is the probability that the number is a multiple of 5?​
{32, 49, 55, 30, 56, 28, 50, 40, 40, 45, 25}

Answers

Answer:

7/11

Step-by-step explanation:

There are 11 numbers with only 7 numbers with a multiple of 5.

Answer:

7/11

Step-by-step explanation:

first, you must determine which numbers are multiples of five. multiples of five are numbers 5 or greater that end in 0 or 5. for example, 5,10,15,20,25... . from this list, you can tell that 7 of these numbers are multiples of 5 : 55,30,50,40,40,45,25 . Next, you count the total amount of numbers. there are 11 numbers in the list. so, the probability of randomly choosing a multiple of 5 is 7/11 :)

Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm squared how many different rectangles could Alex draw with an area of 11 cm squared give a reason for your anwser please i need help please anwser this quikly.

Answers

Answer:

Number of rectangles  could alex draw with an area of 11cm² = 1

Step-by-step explanation:

Minimum length in centimeter grid = 1 cm

Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²

That is

                  [tex]12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4[/tex]

         These are the 3 different rectangles with an area of 12cm².

Now we need to find how many rectangles could alex draw with an area of 11cm².

                    11 = 1 x 11

So only one factorization is possible.

Number of rectangles  could alex draw with an area of 11cm² = 1

Answer:

Alex can only drawn 1 rectangle with an area of 11 cm²

Step-by-step explanation:

When Area = 12 cm², Alex could draw 3 rectangles.

This is because, Area of a rectangle = Length * Breadth

and the factors of 12 are 1, 2, 3, 4, 6, and 12.

The 3 triangle formed can be gotten from the correct combinations of these factors, which are 12 × 1, 2 × 6, 3 × 4.

All of these three combinations give us an area of 12 cm²

Similarly when Area = 11 cm², 11 is a prime number and its factors are 1 and 11.

The only combination that can be made from these factors is 11 × 1.

This means that only one rectangle can be drawn

find a rational number between 3 and 4​

Answers

Answer:

3.1, 3.2, 3.3

Step-by-step explanation:

There are infinite options but a rational number is a fraction, decimal, or repeating decimal.

3 [tex]\frac{1}{3}[/tex] is an example of a fraction between 3 and 4

3.2 is an example of a decimal between 3 and 4

3.3333333... is an example of a repeating decimal between 3 and 4

Answer: 3.2526252625...

Explanation: The number above would be a rational number because it's a repeating decimal. Notice that in the decimal above, 2526 is a group of repeating digits and repeating decimals are rational.

helppp plzzz idk I need help​

Answers

Answer:

The correct answer is y.

Step-by-step explanation:

hope it works out !!

Which of the following values is the solution to the equation

-35x = -105 ?

1.)3
2.)-3
3.)-1/3
4.)1/3

Answers

Answer:

1.) 3

Step-by-step explanation:

Divide each side by -35. Whatever you do to one side of the equation, you must do to the other side.

[tex]\frac{-35x}{-35}[/tex] = [tex]\frac{-105}{-35}[/tex]

X = 3

At Store C, Sam's total purchase came to $16.50 before the discount. After
the discount, he paid with a $20-bill and received $4.82 in changé. Part A What was the mystery discount rate?

Answers

Answer: IDK

Step-by-step explanation:4+4+4+4+4+4+4

how can you determine the x value whether it is in the domain of h

Answers

Answer:

Well, because this is a khan academy question i guess ill be safe to answer it.

0 is in the domain

4 is in the domain

5 is NOT in the domain.

Step-by-step explanation:

If you plug in 5, you are left with

[tex]\frac{4}{5 - 5}[/tex] = [tex]\frac{4}{0}[/tex] = undefined

However, if you plug in any other value in that list, you are left with a number.

Remember, it isn't in the domain if the number is imaginary (like square root of a negative number) or the answer results in an undefined :)

Consider the following ratios and state that whether these ratios forms a proportion?
​Case1 - 20 friends to 15 strangers
Case 2 - ​ 4 friends to 3 strangers​
A.Yes
B.No

Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
​ Answer: ____________

​Note: Type the answer as shown. Ex: (3:8)

Answers

Answer:

Prt A- Yes

Part B- 5:1

Step-by-step explanation:

The ratios in cases 1 and 2 form a proportion. This can be seen by dividing case a by 5 which gives 4:3;

i.e 20:15 = 20

                15

If you divide both numerator and denominator by 5, we have 4/3.

This shows that case 1 and 2 have the same proportions of friends to strangers.

Part B.

The number of friends in case 1 is 20 while in case 2 is 4.

we have, 20:4

= 20

   4

Dividing each by 4, we have 5:1.

This means that the ratio of friends that in case 1 to case 2 is 5:1.

cheers

Sean is travelling. He has a flight of 4 hours 50 minutes, a stopover of 40 minutes and then another flight of 2.5 hours. What is his total travel time? Give your answer in hours and minutes.

Answers

Answer:

8 hours

Step-by-step explanation:

Convert all the hours to minutes, then convert back at the end.

A game board has a spinner with 10 equal-sized sections, of which 4 are green, 3 are blue, 2 are yellow, and 1 is red. What is the sum of the probabilities of the pointer landing in the green, blue, yellow, and red sections? Explain.

Answers

It’s gonna be red section for

A small theater had 6 rows of 23 chairs each. An extra 8 chairs have just been brought in. How many chairs are in the theater now?

Answers

Answer:

146

Step-by-step explanation:

6 * 23 = 138

138 + 8 = 146

Answer:

146

Step-by-step explanation:

6x23 = 138

138+8= 148

What is the sum of (2.14x+3.7)+(5+4.9x)?
a. -7.0x+8.7
b.-2.8x+8.7
c.2.8x+8.7
d.7.0x+8.7

Answers

Answer:

D)

Step-by-step explanation:

Use the distributive property to write a new expression that is equivalent to this expression. 8 (-x -(1/2)

Answers

Answer:

-8x-4 is the answer using distributive property.

Answer:

-8x -4

Step-by-step explanation:

8 (-x -(1/2))

Distribute

-8*x + 8*-1/2

-8x -4

PLSSSSSS HELPPPP MEEE WITHH THISS QUESTION ASAP NO GUESSING AND ANSWER CORRECTLY!!!!!!


Which of the following can be used to describe the crowds who attended Jackson's inauguration ceremony?



A. very crowded

B. violent

C. rowdy

D. not crowded

WILL BE MARKING BRAINIEST!!!!! SO PLEASEE SHOW, EXPLAIN, AND PUT EFFORT PLSSSSSSS!!!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer: C-rowdy

- Rowdy is being noisy and the question is asking you to describe Jackson's crowds who attended the ceremony.

fill in the table of values for y=2-x
X/ -3 0 5
Y

Answers

Answer:

I put in y = 2-x. I believe that was the equation you asked a table for. If it is another equation please tell me or just download or look up Desmos. Desmos helps create graphs and tables. I hope this helps. Have a great rest of your day!

I WILL VOTE FOR THE BRAINLIEST, I AM GIVING OUT A LOT OF POINT SO PLEASE HELP.
The base of a right triangle is 13 less than 2 times the height. The area of the triangle is 12 square cm. What is the height of the triangle in cm? *

Answers

Answer:

4 cm

Step-by-step explanation:

Base 6 cm

Area 12 cm²

Formula:

h_b = 2 A/b

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

14.13

Step-by-step explanation:

Step 1) Find the total area

A = pi x r^2

A = pi x 3^2

A = 9pi

Step 2) Divide the total area by 4

9pi / 4 = 2.25pi

2.25pi = 7.07

A = 7.07 square feet

Hope this helps! :)

The fifth term of an arithmetic sequence is 96. Which rule could define the sequence
An=5n+96
An=6n+18
An=18n+6
An=96n+5

Answers

Answer:

IT'S C

Step-by-step explanation:

mark brainliest !

Answer:

c

Step-by-step explanation:

An amusement park ride is made up of a large circular frame that holds 50 riders. The
circumference of the frame is about 138 ft. What is the diameter of the ride? Round to the nearest
tenth.

Help Please​

Answers

Answer:

The diameter of the ride is 44 feets.

Step-by-step explanation:

We have,

The circumference of the frame is about 138 ft.

It is required to find the diameter of the ride.

The circumference of means that the outer covering of the circle. It is given by the formula as follows:

[tex]C=2\pi r[/tex]

r is radius

Since, 2r = d, diameter of circle

[tex]C=d\pi \\\\d=\dfrac{C}{\pi}\\\\d=\dfrac{138}{3.14}\\\\d=43.94\ ft[/tex]

or

d = 44 feets

So, the diameter of the ride is 44 feets.

Other Questions
PLEASE ANSWER!!!!! I WILL MARK YOUR ANSWER AS BRAINLIEST!!!!! Which of the following statements would best describe Pseudacris crucifer?A. larger than 1.5 inches, larger than 6 inches, warts, X-shaped mark on backB. larger than 1.5 inches, smaller than 6 inches, warts, no triangular mark on head, X-shaped mark on backC. smaller than 1.5 inches, warts, triangle between the eyes, stripe on back from head to tailD. larger than 1.5 inches, smaller than 6 inches, smooth skin, triangle between the eyes According to the Pearsall Plan, why should the stateconstitution be amended? Check all that apply.to protect segregationto give the legislature the power to pass new lawsto enforce desegregation in schoolsto discourage racial mixingOto retain public support6to revise the public school system HELP ITS MATH U CAN DO IT!!!!!!!!!!!!!!!!!!!!!!!!! The diameter of a circle measures 28 ft. what is the circumference of the circle? Use 3.14 for , and do not round your answer. be sure to include the correct unit in your answer. Which French-speaking country is a pays maghrbin? Huey Company acquires 100% of the stock of Solar Corporation on January 1, 2019, for $2,400,000 cash. As of that date Solar had the following account balances: Book Value Fair value Cash $300,000 $300,000 Accounts receivable 325,000 325,000 Inventory 350,000 400,000 Building-net (10 year life) 1,000,000 900,000 Equipment-net (5 year life) 300,000 400,000 Land 600,000 900,000 Accounts Payable 125,000 125,000 Bonds Payable (Face amount $1,000,000, due 12/31/2023) 2,000,000 2,050,000 Common stock 700,000 Additional paid-in capital 250,000 Retained earnings 880,000 In 2019 and 2020, Solar had net income of $250,000 and $240,000, respectively. In addition, Solar paid dividends of $16,000 in both years. Inventory is assumed to be sold in 2019. Assume straight line amortization/ depreciation for assets and bonds payable. What is the amount of goodwill at date of acquisition? Clones have the exact same:A-Personalities B-Physical appearances C-Intelligence levels D-Genetic material which force causes a soccer ball to take a curved path when it is kicked? rotation acceleration mass velocity A charge is moving in a magnetic field that points to theleftWhat direction can the charge move and experience nomagnetic force? Check all that applyupdownleftrightinto the screenout of the screen You maintain an average balance of $1050 on your credit card which carries a 12% annual interest rate. The monthly interest payment is Trigonometry. This is an Tangent question. A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property that she would like to put on the market. The 1057 houses she surveyed have a mean price of $169 comma 400, with a standard deviation of $ 68 comma 438. The mean living area is 2058 sq ft, with a standard deviation of 790 sq ft. Which is more unusual, a house in that market that sells for $300 comma 000 or a house that has 3000 sq ft of living area? Explain. Choose the correct answer below. The house that sells for $300 comma 000 has a z-score of nothing and the house with 3000 sq ft has a z-score of nothing. Thus, a house in that market that sells for $ 300 comma 000 has 3000 sq ft of living area is more unusual than a house that sells for $ 300 comma 000 has 3000 sq ft of living area . What information does the latent heat of vaporization give?A. The energy needed to completely melt a mole of a solidB. The energy needed to raise the temperature of 1 g of a vapor 1CO c. The energy needed to heat a liquid from freezing point to boilingpointO D. The energy needed to completely vaporize a mole of a liquid Can someone please help?? Most of the eastern United States is a _____ biome. What is the molarity if 2.00 liters containing 49.0 grams of sodium carbonate [Na2CO3)?(Molar mass of Na is 22.99 g/mol, C is 12.01 g/mol and O is 16.00 g/mol.) What is the area of the parallelogram? Find x and y Need done before 11:59 Which equation can be used to solve for x?Choose from the Equation Bank please Simplify the given expression.13 + (14a+5b) HELP