Mathematics High School

Here is a square inscribed in a circle with radius 1 meter. What is the perimeter of
the square? Explain or show your reasoning

Here Is A Square Inscribed In A Circle With Radius 1 Meter. What Is The Perimeter Ofthe Square? Explain

Answers

Answer 1

Answer:

[tex]4\sqrt{2}[/tex]

Step-by-step explanation:

distance formula:[tex]\sqrt{\left(x_2-x_1\right)^{2}+\left(y_2-y_1\right)^{2}}[/tex]

set square to be centered on the origin and find the distance between 2 of the connected points

[tex]\sqrt{\left(3-2\right)^{2}+\left(2-1\right)^{2}}[/tex]

= [tex]\sqrt{\left(1\right)^{2}+\left(1\right)^{2}}[/tex]

= [tex]\sqrt{2}[/tex]

multiply by 4 as it is a square and all of its sides are equal

[tex]4\sqrt{2}[/tex]

insert units

[tex]4\sqrt{2}\ \ meters[/tex]

Answer 2

The perimeter of the square is √32.

Given to us

the radius of the circle is 1 meter

What is the diagonal of the square inscribed in the circle?

As we can see in the figure AB is the diagonal of the square and diameter of the circle. therefore,

AB = Diagonal of the square = Diameter of circle = 2 x Radius = 2 meter

We know the diagonal of a square is equal to the product of √2 and the side of the square.

[tex]Diagonal = side \times {\sqrt2}[/tex]

Substitute the value,

[tex]2 = side \times {\sqrt2}\\\\side = \dfrac{2}{\sqrt2}\\\\side ={\sqrt2}[/tex]

What is the perimeter of the square?

The perimeter of the square is four times the side of the square.

[tex]Perimeter = 4\times (side)[/tex]

Substitute the value,

[tex]Perimeter = 4\times (\sqrt2)\\\\Perimeter = 4\sqrt2 = \sqrt{2\times 16} = \sqrt{32}[/tex]

Hence, the perimeter of the square is √32.

Learn more about Square:

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Here Is A Square Inscribed In A Circle With Radius 1 Meter. What Is The Perimeter Ofthe Square? Explain

Related Questions

HELP ASAP its due today
also please include the work if possible

Answers

use photomath. it shows the work too

Find the space inside a rectangle with a width of 18 and length of 20

Answers

Answer:

360 sq units

Step-by-step explanation:

I'm not completely sure if you want me to find the area or not so I will find the area of the rectangle :)

Area formula: l x w

l x w = 20 x 18

20 x 18 = 360

HHhhheeelllppppp!!!!!!!!

Answers

Answer: 9x-3

Step-by-step explanation:

Please help me ASAP


What is the area of this composite shape?

Answers

Answer: 51 sq in

The explanation are in the photos

Answer: 51 in

Step-by-step explanation:

To do this you need to split the composite shape into two separate shapes; a triangle and a rectangle.

To work out the area of the rectangle you have to do 6x7=42

Then to work out the area of the triangle you have to do 13-7 to get the height of only the triangle h (height)=6

Then to find out the base of the triangle you have to do 6-3 as 6 is the overall length b (base)=3

The formula for the area of the triangle is b×h/2 (base times height divided by 2) which is also displayed as 3x6/2=9 which is the area of the triangle

So to work out the area of the composite shape you have to add the area of the rectangle and the area of the triangle (42+9).

can someone help me please

Answers

Answer: 12.50$


Explanation: 5.25$ (per pound) and he wants 3 pounds so we multiply 5.25x3 which equals 15.75 and then we subtract 3.25 (because of the coupon) which makes your final answer 12.50$

can u help me please

Answers

Answer:

1. B

2. C

3. D

4. A

Step-by-step explanation:

Simplify the expression by combining like
terms:
3x + 18 + 4x + 2

Answers

Answer:

7x+20

Step-by-step explanation:

3x + 18 + 4x + 2

Combine like terms

3x+ 4x   + 18+2

7x         + 20

angle sum theory

PLS HELP!!

A)74°

B)92°

C)83°

D)82°

Answers

Answer:

the answer must be 74 or 82

Answer:

It's 58

Step-by-step explanation:

That's the answer

There are groups of 5 6 in 5.

Answers

Answer:

la verdad es 17,en total del grupo

simplify 3/5 : 8/9 plzzzzzzzzzzzzzzzzzz help​

Answers

Step-by-step explanation:

3/5:8/9

3/5 *9/8

27/40

hope it helps

2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability of the coin landing tails side up? Your answer needs to be a fraction in simplest form. Grid in boxes below. One digit/symbol per box, 7. SP.6 5) Tanya set a goal to swim 30​

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

[tex]\frac{33}{75}[/tex] or 0.44

This fraction can also be simplified to its simplest form of [tex]\frac{11}{25}[/tex] which is obtained by dividing both the numerator and denominator by 3

Katie is 1.73 m tall. George is 7 cm shorter than Katie. How tall is George?
Give your answer in m​

Answers

Answer:

Katie height  =1.73 m                        

George height =7 cm

formula

1 meter =100 cm                     7/100 =0.007m

     so George height =0.007 m

height of George = Katie height - George height

                            = 1.73 - 0.007 m

                          = 1.723 mHeight of George = 1.723 m

Step-by-step explanation:

BRAINLIEST PLS ANSWER LOVESSS

Laura and Luis are hosting a FIFA World Cup Finals party and have purchased dinnerware to represent their favorite teams. Lara, a fan of team Germany, bought 25cups and 40plates with the German flag printed on them. Luis, who is rooting for Argentina, bought20cups and 35plates with the Argentinian Flag printed on them. Laura spent a total of $445.00and Luis spent a total of $380.00.

Which of the following systems could represent the situation? Select all that apply.
25c+40p=445
25c+25c=445
20+35=380
35+40=380
45+75=825

Answers

Answer:

The first and the third the last as well

Step-by-step explanation:

Hey I’m sorry but can you answer my question it’s due at 8

find the sale price to the nearest cent .. $40 sweater; 33%discount​

Answers

Answer:

$26.80

Step-by-step explanation:

(I don't know exactly how other people were taught to do percentages, but this is how I was taught and I find it the easiest for me.)

You are going to subtract your percentage number by 100.

100 - 33 = 67

This will give you your multiplier so you can then get your answer but you have to turn it into a decimal.

0.67 x 40 = 26.80

30 timess please only serious awnseresss

Answers

Answer:

120

Step-by-step explanation:

Answer:

30 times ?

let no be x

30×x=30x

30×4=120

What is the surface area of the 3-dimensional shape? please help quick 3 ft 3 ft 3 ft

A. 24 square feet

B. 72 Square feet

C. 198 Square feet

D. 216 Square feet

Answers

The answer is A its really easy

I don't know why I keep getting 93 ft but it says it's wrong...
Find the perimeter of the figure.

Answers

Answer:

Your answer is 84.

9+9+9+9+9+9 (9x6) +30. 9x6 is 54 so then, you'd have to do 54+30 to get 84.

~Sophia

Answer:

96 ft

Step-by-step explanation:

9 + 9 + 9 + 9 + 12 + 9 + 9 + 30 = 96 ft

Select the line plot that represents the given ages of students in a youth choir.
14, 13, 14, 15, 17, 12, 15, 16, 14, 16

PLEASEE I NEED HELP ON THIS

Answers

Answer: B

Step-by-step explanation:

PLS HELP!! What is the radius of a shape with a circumference of 8.9?

Answers

Answer: 1.42

Step-by-step explanation:

At a clothing store, 3 T-shirts and 8 hats cost $ 65. The cost of 2 shirts and 2 hats is $ 30. How much does each shirt and hat cost?​

Answers

Answer:

1 shirt=$7.50 and 1 hat=$7.50

Step-by-step explanation:

Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 7x; R(x) = 9x − 0.001x2

Answers

Given:

The cost function is

[tex]C(x)=7x[/tex]

The revenue function is

[tex]R(x)=9x-0.001x^2[/tex]

To find:

The marginal cost, marginal revenue, and marginal profit functions.

Solution:

We know that,

[tex]Profit=Revenue-Cost[/tex]

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=9x-0.001x^2-7x[/tex]

[tex]P(x)=2x-0.001x^2[/tex]

The marginal cost, marginal revenue, and marginal profit functions are the derivatives of cost, revenue and profit functions respectively.

Marginal cost function is

[tex]C'(x)=7\dfrac{d}{dx}x[/tex]

[tex]C'(x)=7(1)[/tex]

[tex]C'(x)=7[/tex]

Marginal revenue function is

[tex]R'(x)=9(1)-0.001(2x)[/tex]

[tex]R'(x)=9-0.002x[/tex]

Marginal profit function is

[tex]P'(x)=2(1)-0.001(2x)[/tex]

[tex]P'(x)=2-0.002x[/tex]

Therefore, the marginal cost, marginal revenue, and marginal profit functions are [tex]C'(x)=7[/tex], [tex]R'(x)=9-0.002x[/tex] and [tex]P'(x)=2-0.002x[/tex] respectively.

Someone please tell me the domain and range. Thank you.

Answers

one is (5) because Domain is left to right

and number two is (4) because range is up and down

△ABC∼△A′B′C′
Solve for x and y.

Answers

Answer:

Step-by-step explanation:

5/15=y/21

y=7

6/x=5/15

x=18

alguien me ayuda con esto ?​

Answers

Answer:

como vamos a resolverlo si no nos muestra la recta porque en la recta estan los valores

the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter​

Answers

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

If a call started at 7:53 and ends at 8:25.
How long did the call last?

Answers

Answer:

33 minutes

Step-by-step explanation:

33min

Answer: The answer to this math question about how long did the call has lasted from 7:53 PM to 8:25 PM is the call has been lasted long is 32 minutes ago.

Step-by-step explanation: Here is a brief step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM:

So, 25 minutes from the 8 hours to 8:25 PM and then, 53 minutes to 60 minutes is 7:25 PM + 7:32 PM.

I hope that my briefly short given answer with my briefly short given a step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM, please mark me as Brainliest, take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

One angle of an isosceles triangle measures 140°. Which other angles could be in that
isosceles triangle? Choose all that apply.
140
61
20°
7

Answers

Triangles have to equal up to 180° so there isn’t two answers that line up unless we’re picking one out of these it would be 20°
it could be 20 or 7. it can’t be 20 AND 7, because all triangles angles have to add up to 180, but either or is correct. both are possible answers i think.

ANSWER THE QUESTION PLZ!!!!

Answers

Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Lori bought some cookies for $2 each and muffins for $3 each. She bought twice as
many muffins as cookies and spent $16. How many cookies did Lori buy?

Answers

Answer:

2 cookies

Step-by-step explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

2c+3(2c)=16

2c+6c=16

8c=16

c=2

this means that lori bought 2 cookies.

Answer:

2 cookies

Step-by-step explanation:

let c = no. of cookies

2c = no. of muffins

The cost for c cookies is 2c since each cookie was $2

and the cost of 2c muffins is 3(2c) = 6c since each muffing was $3

The total cost = 2c + 6c = 16

                                 8c  = 16

                                   c = 2

So, she bought 2 cookies and 4 muffins

A grocery store sells 3 pounds of Granny Smith apples for $6.27. It sells 5 pounds of Red Delicious apples for $9.95. Which costs more per pound?​

Answers

Granny Smith apples cost more.



The Granny Smiths apples sells it for 2.09 per pound. Red delicious sells it for 1.99 per pound.


Step by step
Divide 6.27 by 3 you’ll get 2.09
Divide 9.95 by 5 you’ll get 1.99
And 2.09 is greater then 1.99 so Granny Smith sells it for more


Hope this helps
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