A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Answers

Answer 1

Answer:

22.36 m

Step-by-step explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

[tex]Side \: of \: square = \sqrt{250} \: m \\ diagonal \: of \: square \\ = \sqrt{ {( \sqrt{250)} }^{2} + {( \sqrt{250)} }^{2}} \\ = \sqrt{250 + 250 } \\ = \sqrt{500} \: m \\ = 22.3606798 \: m \\ = 22.36 \: m \\ \therefore \: diameter \: of \: circle = 22.36 \: m[/tex]


Related Questions

HELP! i’m confused! question is in the picture

Answers

Answer:

[-6,-3]

Step-by-step explanation:

So we have the compound inequality:

[tex]2x+7\leq x+4\leq 3x+16[/tex]

Let's solve for each of the inequalities:

1)

We have:

[tex]2x+7\leq x+4[/tex]

Subtract x from both sides:

[tex]x+7\leq 4[/tex]

Subtract 7 from both sides:

[tex]x\leq -3[/tex]

So that's one of our answers.

2)

We have:

[tex]x+4\leq 3x+16[/tex]

Subtract 3x from both sides:

[tex]-2x+4\leq 16[/tex]

Subtract 4 from both sides:

[tex]-2x\leq 12[/tex]

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

[tex]x\geq -6[/tex]

Therefore, our entire answer is:

[tex]-6\leq x\leq -3[/tex]

This means all values in between -3 and -6 including -3 and -6.

In interval notation, this is:

[tex][-6,-3][/tex]

So, A is -6.

And B is -3.

And we're done :)

The first five terms in a pattern are shown below.

3, -3, -9, -15, -21, ...

If the pattern continues, which expression can be used to find the nth term?

Answers

Answer:

-45 because it is the nth term in the sequence just trust me.. ;)  Please vote Brainliest!

Step-by-step explanation:

Answer:

The answer is -45

Step-by-step explanation:

Evaluate –9 – 13 + 2 + 13.

Answers

Answer: -7

-9-13= -22
-22+2= -20
-20+13= -7

What is the area of the triangle?

Answers

Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

2 perfect squares of 102

Answers

Step-by-step explanation:

102^2 = 10404

102×102=10404

In the figure, a pair of parallel lines is cut by a transversal. What is the measure of angle C if the measure of angle B is 35°? A.  35° B.  90° C.  145° D.  180° ​

Answers

Answer:

Could you please add a diagram? Or at least say how C is related to B?

Like is C an alternate angle to B or anything?

Step-by-step explanation:

A diagram would really help.

Answer:

145

Step-by-step explanation:

180-35=145

(look at the images) can i get help on these?

Answers

Answer:

see explanation

Step-by-step explanation:

15

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

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

16

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

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

17

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = [tex]\sqrt{(1-7)^2+(-5-3)^2}[/tex]

   = [tex]\sqrt{(-6)^2+(-8)^2}[/tex]

   = [tex]\sqrt{36+64}[/tex]

   = [tex]\sqrt{100}[/tex] = 10

Money is borrowed at ​8% simple interest. After one​ year, ​999.00$ pays off the loan. How much was originally​ borrowed?

Answers

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

44 pounds is equivalent to
ao
kilograms.

Answers

Answer:

19 kilograms

Step-by-step explanation:

because it is

A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP

Answers

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.

Why should we care about gender inequality? HELP HELP HELLLPPP!!!

Answers

Answer:

Because we're not awful human beings, its not fair for men to be better than women

Step-by-step explanation:

Given h(x) = 5x + 1, find h(2) HELP PLEASE

Answers

Answer:

11

Step-by-step explanation:

[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]

Hope this helps.

Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3

Answers

You plug in x to the function. So it would be 6(3). 6 x 3 is 18, so f(x)=18.

A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm? What is the length of the wood?

10,000 cm

2 cm

515 cm

50 cm

Answers

Answer:

The length of a piece of wood is 2 cm.

Given:

volume = 100 cm³

width = 5 cm

height = 10 cm

length = ?

Volume is computed by multiplying the length, width, and height of an object.

Volume = length * width * height

100 cm³ = length * 5 cm * 10 cm

100 cm³ = length * 50 cm²

100 cm³ / 50 cm² = length

2 cm = length

to check:

100 cm³ = 2 cm * 5 cm * 10 cm

100 cm³ =  10 cm² * 10 cm

100 cm³ = 100 cm³

Answer:

2 cm

Step-by-step explanation:

write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height

The beast, a roller coaster in Cincinnati, Ohio, is 1.4 miles long. How far would you travel in 5 rides?

Answers

you would travel 7 miles

Answer:

7 miles

Step-by-step explanation:

So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.

what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?

Answers

Midpoints are (3,0)

what are the solutions to the quadratic equation?2x^2+7x+6=0​

Answers

Answer:

x=-3/2,-2

using the quadratic formula 2x² is your a 7x b and 6 your c you want to substitute those numbers into the equation and then solve to find the solutions

PLEASE HELP!!! TRIG, Theres a picture!!

Answers

Answer:

The answer is option C

Step-by-step explanation:

[tex]3( { \tan }^{2} \theta - { \sec }^{2} \theta)[/tex]

Using trigonometric identities

That's

[tex]1 + { \tan }^{2} \theta = { \sec }^{2} \theta[/tex]

Rewrite the expression

That's

[tex]3({ \tan }^{2} \theta - (1 + { \tan }^{2} \theta)) \\ [/tex]

Simplify

We have

[tex]3({ \tan }^{2} \theta - 1 - { \tan }^{2} \theta) \\ 3({ \tan }^{2} \theta - { \tan }^{2} \theta - 1)[/tex]

So we have

3( - 1)

We have the final answer as

- 3

Hope this helps you

1may u please tell me the answer ​

Answers

It’s very confusing so I lost track right now I think it’s A

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)

Answers

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ([tex]A[/tex]) is represented by the following formula:

[tex]A = w\cdot l[/tex]

Where:

[tex]w[/tex] - Width.

[tex]l[/tex] - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])

[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]

[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]

[tex]A = 1.76\cdot A_{o}[/tex]

The area of the rectangle is increased in 76 percent.

what is 8/2 is it a interger ,rational ,irrational or whole number

Answers

Answer:

[tex]\frac{8}{2}[/tex] is a rational number

Step-by-step explanation:

What is the value of y in the equation 4y – 2(1 – y) = –44?
–23
–15
–14
–7

Answers

Answer:

-7

Step-by-step explanation:

The value of y will be -7

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :

[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]

Therefore, the value of y is -7

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

PLZ HELP ASPPP I WILL MARK YOU AS BRAINLIST
If PQ=29 and QR=51 find PR.

Answers

It would be 80 I’m pretty sure?
(The answer is PR=80) The reasoning for this is you have to add PQ and QR together in order to get PR

If a circle has a radius of 4 cm, what is the circumference? Enter a numerical value only.

Answers

25.12 sorry if it’s wrong

Answer:

c≈25.13

Step-by-step explanation:

What term best describes the intersection of the strokes drawn when writing the letter T? point plane line

Answers

Answer:

Point just took the test and this is the answer.

Step-by-step explanation:

If the sales tax of a state is 7.55% what is the price of a $125 pair of shoes?

Answers

Answer:

the shoes cost $134.43 with tax

What is an integer? ​

Answers

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2

Answers

Answer:

-2+3

Step-by-step explanation:

Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9

Answers

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

if the sales tax rate is 7.375% in new york state then how much sales tax would you pay for a $9,500 used car

Answers

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer: 700.625$

Explanation:

Find sales tax:

Price of car • tax rate = sale tax

9500$ x 7.375%
= 9500$ x 7.375/100
= 95$ x 7.375
= 700.625$

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