Here is a circle touching a square. The area of the square is 36cm squared. Work out the area of the circle. Give your answer in terms of (Pi)

Here Is A Circle Touching A Square. The Area Of The Square Is 36cm Squared. Work Out The Area Of The

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Because the area of the square is 36 its side is 6 meaning the circle has a diameter of 6. This means that its radius is 3 so its area is 3² * π = 9π.


Related Questions

If x = 4 and y = 8 , evaluate the following expression: x/y Give your answer as a fraction in its simplest form.

Answers

Answer:

X/Y = 4/8= 1/2

Step-by-step explanation:

This is the answer of this question

3. If A = {2, 4, 6, 8}, B = {1, 3, 5, 7), find A UB.

Answers

A U B={ 1,2,3,4,5,6,7,8}

Solution,

A={2,4,6,8}

B={1,3,5,7}

A U B={ 2,4,6,8} U{1,3,5,7}

={1,2,3,4,5,6,7,8}

Hope it helps

Good luck on your assignment

Find x in this proportion. x/3 = x+2/5 x =

Answers

[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]

Help please will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

x4(x4-5)+5(x4-5)

=x8-5x4+5x4-25

x8-25

Write in slope-intercept form an equation of the line that passes through the given points.

Answers

Answer:

y = x+5

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

m = (7-3)/(2 - -2)

   =(7-3)/(2+2)

  = 4/4

   = 1

The slope intercept form is

y = mx+b

y = x+b

Substitute a point in

7 = 2+b

Subtract 2 from each side

5 =b

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (7 - 3) / (2 - (-2))

= 4/4

= 1

Since y = mx + b and m = 1,

y = (1) * x + b

y = x + b

7 = 2 + b

b = 5

Putting b = 5 in y = x + b, we get:

y = x + 5

Hope this helps!

FAST ANSWER PLEASE THANKS

Answers

Answer: D

Step-by-step explanation:

When you are asked what is the domain, you are basically asked what x values work for the function.

Multiply the function to get [tex]xe^x + 6e^x[/tex]

[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers

Its range is also all real numbers because the domain is continous for every single value you plug in

Help por favor!!!!!!!!!

Answers

Answer:

15 cm²

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] * base * height

Base = 10 cm

Height= 3 cm

Area = [tex]\frac{1}{2}[/tex] * 10cm * 3cm

        = 5cm * 3cm

        = 15cm²

What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13

Answers

Answer:

I think the first step is to group all the addition first and then you do the subtraction.

Answer:

Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.

Step-by-step explanation:

so ti will be;

2+7+5-8+13

27-8

21

factorise 6 x ^2 + 17 X + 5​

Answers

Answer:

( 3x + 1) (2x+5)

Step-by-step explanation:

6 x ^2 + 17 X + 5​

We break the 6 into 3 and 2

(3x    ) (2x   )

We need the middle term to be 17

( 3x + 1) (2x+5)

3*5+2 = 17 so it works

(3x+1)(2x+5)
So it works

Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.

Answers

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

HELP ANYONE PLEASE RIGHT ANSER ?!

Answers

Answer:

B.

Step-by-step explanation:

They all are alternating interior angles so they'll be congruent.

Answer:

B. Alternating interior angles are congruent

Step-by-step explanation:

The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.

I NEED AN ANWSER ASAP,, PLS AND THANK YOUU When finding a pattern for the sum of two times a number, n, and four less than three times the same number, Cole does the following calculation and decides the pattern is 3n. Show why he is wrong. and write the correct pattern to coles work

n=2
2(2)+3(2)-4=6

Answers

Answer: find the answer in the explanation

Step-by-step explanation:

Two times a number, n that is, 2n

and four less than three times the same number, that is, 3n - 4

Cole is wrong for not interpreting the two statement differently into two separate expression.

Finding the sum of the two expression will be

2n + 3n - 4 = 5n - 4

So, if n = 2

Substitute 2 for n in the expression 5n -4

5(2) - 4

10 - 4 = 6

Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)​

Answers

Answer:

B, D, E and G lies on X axis

Suppose that you placed $500 in a bank account at the end of each year for the next 10 years. How much would be in that account at the end of the tenth year if the deposits earned an annual rate of return of 8% each year?

Answers

Answer:

5400$

Step-by-step explanation:

First, you need to figure out 8% of 500$.

That is 40$.

Now, you need to multiply 500 by 10, because there are 10 years.

That is 5000$

Now, we need to add the 8% that was added each year. So we do 40$ times 10.  400$

Then we add the 5000 and 400.

The answer is 5400$

I really hope this helped you! So sorry if it doesn't!

this question is my thing

Answers

Answer:

Below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/1

How many two-digit primes have both their digits non-prime?

Answers

Answer:

89

Step-by-step explanation:

8 is divisible by 4

And 9 is divisible by 3

what is the solution to the equation x-16=-8

Answers

Answer:

x = 8

Step-by-step explanation:

8 minus 16 equals to a negative answer, resulting to -8.

Answer:

x = 8

Step-by-step explanation:

Add 16 to both sides of the equation.

x = −8 + 16

Add − 8 and  16

 x = 8

Uma lousa digital possui uma forma retangular e tem sua largura expressa pelo polinômio b+2. Sendo sua área igual ao polinômio B ao quadrado + 5b+ 6, qual é o polinômio que expressa a altura dessa lousa?

Answers

Answer:

b+3

Step-by-step explanation:

Largura : b+2

Área: b² +5b +6

Sabe-se que a área de um retângulo é dada pela largura multiplicada pela altura.

A partir dos zeros da equação da área é possível encontrar o polinômio da altura:

[tex]b^2 +5b +6\\b=\frac{-5\pm \sqrt{25-4*1*6} }{2} \\b'=-2\\b''=-3[/tex]

Visto que o polinômio da largura é b+2, para que a equação da área seja válida, o polinômio da altura deve ser b+3.

A prova pode ser feita pela multiplicação dos polinômios:

[tex]A = L*H\\A=(b+2)*(b+3)\\A=b^2+5b+6[/tex]

All of the following are equivalent,except.
(12+3)x
(12+3x)x
15x
12x+3x

Answers

Answer: (12+3x)x

Explanation: When you distribute the x in the first option you'll get 12x+3x, which you can simplify to 15x (combine like-terms). Having this information, you know that the first one is equivalent to the third one and the fourth option. When you distribute the x in the second you you get (3x^2)+12x. This is not equal to any other option.

Determine the value of
f(2) when
f(x)=x² - 5x+2

Answers

Answer:

-4

Step-by-step explanation:

Substitute [tex]x = 2[/tex] in to the function

[tex]f(2) = 2^2 -5(2) + 2[/tex]

= -4

Please help me answer these two questions:) Find two consecutive numbers with a sum of 143. The combined mass of two children is 75 lbs. The first child is four times the mass of the second child. What are the masses of the two children? Whoever answers and explains i will give the brainliest!

Answers

Answer:

Question 1: 71 and 72

Question 2: Child 1: 60 lbs, Child 2: 15 lbs

Step-by-step explanation:

Question 1:

Consecutive numbers are 2 numbers right next to each other.

You know the numbers will have to be double digits number.

71 and 72 are consecutive numbers. The sum of them is 143.

71+72=143

Question 2:

For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.

Equation 1

x+y=75

This equation comes from the combined mass of the 2 children.

Equation 2

x=4y

This equation comes from the first child being 4 times the mass of the second child.

Since we know the value of x, we can use substitution to find y.

4y+y=75

5y=75

y=15

Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.

x=4(15)

x=60

What is the x-value of the vertex?

f(x)=(x+2)^2−1

x-value of the vertex:

Answers

Answer:

-2

Step-by-step explanation:

x-value of the vertex is -2.

What is vertex form of parabola?

The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

Given

[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)

The vertex formula helps to find the vertex coordinates of a parabola.

The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]

The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

By comparing vertex form of parabola in equation 1

a = 1, h = -2 , k = -1

Hence, x-value of the vertex is -2

Learn more about vertex form of parabola here

https://brainly.com/question/20333425

#SPJ2

This formula v = u + at, links:

initial velocity (u)

final velocity (v)

acceleration (a)

time (t)

What is the value of v if u = 5, a = 10 and t = 2?

Answers

Answer:

[tex]v=u+at[/tex]

[tex]v= 5+(10)\times2\\v=25[/tex]

Volume of a triangular prism 4 cm 9 cm and 5 cm

Answers

Answer:

180 cm³

Step-by-step explanation:

Volume = base area x height

4x9x5

Answer:

180 cm^3

Step-by-step explanation:

Vol = base time height times length

4 times 9 times 5 = 180

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

Answer: 10.2

Step-by-step explanation:

7. A shopkeeper can buy 36 toys for $20.52. What will be
for 120 toys?​

Answers

Answer:

$68.40

Step-by-step explanation:

Let x represent the required cost.

Since the number of toys is directly proportional to the cost:

x : $20.52 = 120 : 36

i.e.  x/$20.52 = 120/36

      x = ([tex]\frac{120 * $20.52}[/tex])/36

      x = $2462.40/36

      x = $68.40

Hope this helps!!!

Please help me please

Answers

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

Figure FGHJ was dilated by a scale factor of k centered at point H, as shown. What is the value of k?

Answers

Answer:

2

Step-by-step explanation:

just see the slope of FG

from F to G is 5 to the right and 1 goes up.

then, see the F'G' slope

its 10 to the right and 2 goes up

it TWICE

find the number missing from the following equivalent fractions: 9/15= ?/60

Answers

to get the equivalent fraction you have to find the common denominator. in this case 60 divided by 15 which would equal to 4. The you would multiply 9 by 4 to get the answer which would be 36. the final answer would be 9/15=36/60

Answer:

36/60

Step-by-step explanation:

Divide the larger denominator with the smaller denominator.

60/15 = 4

Use this number and multiply this to the numerator to get the unknown.

4*9=36

*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!

Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)

Answers

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

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