A square has a side that measures 5. 5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3. 14 for π, and round your answer to the nearest hundredth. 38. 47 units2 94. 99 units2 153. 86 units2 379. 94 units2.

Answers

Answer 1

The area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

What is circumference and area of the circle?

Circumference of the circle is the length of its boundary. It can given as,

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

The area of the circle is the space occupied by it. It can be given as,

[tex]A=\pi r^2[/tex]

Here (r) is the radius of the circle.

A square has a side that measures 5. 5 units. The perimeter of the square is the equal to the 4 times of its side. Thus its perimeter is,

[tex]P=4\times5.5\\P=22\rm\; units[/tex]

The circumference of the circle is equal to the perimeter of the square. Thus the radius (r) of circle is,

[tex]P=2\pi r\\22=2\times\pi r\\r\approx3.5\rm\; units[/tex]

The area of this circle is,

[tex]A=\pi r^2\\A=3.14\times (3.5)^2\\A=38.465\\A\approx 38.47\rm\; units^2[/tex]

Hence the area of the circle whose circumference is equal to the perimeter of the square is 38.47 squared units.

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Related Questions

Make x the subject K(x-a)=t

Answers

Answer:

x = t+ka/k

Step-by-step explanation:

First you take letter k and place it after =sign which brings (x-a) = t/k because if you shift any number or letter after the = sign it has to be the opposite sign. for instance if it's positive, it will turn negative after the equal sign and if it is multiplication, it will turn division

Then you open the brackets which makes x-a = t/k

Now you shift "a" after the equal sign which leads to our answer, x= t +ka/k

Answer:

x = [tex]\frac{t+ka}{k}[/tex]

Step-by-step explanation:

k(x - a) = t ← distribute parenthesis on the left side by k )

kx - ka = t ( add ka to both sides )

kx = t + ka ( divide both sides by k )

x = [tex]\frac{t+ka}{k}[/tex]

Help me pls

-3^3(-8n^3-3n^2)

Answers

-3^3(8n^3 - 3n^2)
-3^3 x 8n^3 - (-3^3 x 3n^2)
-27 x 8n^3 - (-27 x 3n^2)
-216n^3 - (-81n^2)
-216n^3 + 81n^2

A sum amounts Rs. 720 is divided into two parts in the ratio 3:5. How much will be the amount in second part?) Ans: Rs. 450 ​

Answers

Both part be 3x and 5x

ATQ

[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]

[tex]\\ \rm\rightarrowtail 8x=720[/tex]

[tex]\\ \rm\rightarrowtail x=90[/tex]

Second part:-

5x=5(90)=450

The five-number summary for the number of aces Olga served during each tennis match is shown in the following table.
\text{Min}Minstart text, M, i, n, end text Q_1Q
1

Q, start subscript, 1, end subscript \text{Median}Medianstart text, M, e, d, i, a, n, end text Q_3Q
3

Q, start subscript, 3, end subscript \text{Max}Maxstart text, M, a, x, end text
000 333 666 101010 141414
Olga had more than 666 aces in about what percent of tennis matches?

Answers

Answer:

50%

Step-by-step explanation:

the first number represent 0% then 25% then 50% then 75% then 100%

6 was in the half so 50%


Andrea Spent a total of $.43.87 on now clothes at a department store bought one pair of Sandals for $8. One T-shirt for 9.49 and two Jeans The tax on the purchase was $2.88 How much did Andrea pay for one pair of jeans, if each pair costs the same amount.

Answers

Answer:

$11.75

Step-by-step explanation:

We need to first subtract to find our answer :)

43.87 - (8 + 9.49 + 2.88)

43.87 - 20.37

23.50

Now we divide :)

23.50/2 = 11.75

Have an amazing day!!

Please rate!!

Please help with both questions ​

Answers

Value of n is greater than (-2) and less than or equal to 3.
n = {-1,0,1,2 3}

3x +5 > 16
Subtract 5 from both sides
3x > 16 - 5
3x > 11
x > 11/3
x> 3.67

X= 4 is the smallest value

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding

what is the area of a triangle with a base with a length of 3 1/2 inches and a height of 3 inches

Answers

Answer: 5.25 square inches

Step-by-step explanation:

A=(1/2)bh=(1/2)(3.5)(3)=5.25

The question is in the attachment.

Answers

Answer:

0.0816

Step-by-step explanation:

Given:

Total number of students = 5000Number of students taking an online class = 1200Number of students prefer watching baseball to football = 1700

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

14. How much interest will you earn if depositing $25,000 to grow continuously at 9%
interest rate for 12 years?

Answers

Answer:

Step-by-step explanation:

i think this is the answer

Introduction to Functions (40-41)
Find which relations below represent functions. Write function if it represents a function in the blanks provided.
Otherwise, write not a function in the blanks provided below the tables.
A
B
X1

X1
уі
X1

7
0
3
Сл
-4
-3
5
5
Сл
7
-4
1
-8
2
7
9
10
-4
-1
-1
15
7
-4
-3
7
-2
or do
20
5
7
-4
-5
1

Answers

Answer:

try the option provided in the attachment.

Table B and C are represent the function.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find which relations below represent functions.

Now,

We know that;

A relation between a set of inputs having one output each is called a function.

Hence, By table 1;

Each output has same input.

Thus, Its not represent function.

By table 2;

A set of inputs having one output each.

Hence, Its represent function.

By table 3;

A set of inputs having one output each.

Hence, Its represent function.

Thus, Table B and C are represent the function.

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Find the solution of the system of equations.
x+2y=9
-6x+4y=-46

Answers

Answer:

x=-3.5 and y=6.25

Step-by-step explanation:

x+2y=9

x=9-2y

-6(9-2y)+4y=46

-54+12y+4y=46

16y-54=46

16y = 100

y = 100/16 = 50/8 = 25/4 = 6.25

x+2(6.25)=9

x+12.5=9

x= -3.5

Find the size of angle x.

Answers

Answer:

x = 56°

Explanation:

x + 124° = 180°x = 180° - 124°x = 56°

Note: A straight line has total 180°

Answer:

x = 56°

Step-by-step explanation:

x + 124° = 180° ( being linear pair )

X = 180° - 124°

X = 56°

What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units

Answers

(10,6)(1,4)

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

What is the value of k?​

Answers

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

Answer:

k = 10°

Step-by-step explanation:

      According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for k from there.

115° = (4k + 5)° + (6k + 10)°

115° = 4k° + 5° + 6k° + 10°

115° = 6k° + 4k° + 10°  + 5°

115° = 10k° + 15°

100° = 10k°

10° = k

k = 10°

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?

Answers

Answer:

£336 more

Step-by-step explanation:

2100/5 = 420 One fifth of the total lottery.

Colin has four shares so 4X420 = 1680

He then splits it into 10 (2+3+5) parts. 1680/10=168

Wife: 168X5=840

Son: 168X3=504

Wife-Son 840-504=336

Answer:

336£

Step-by-step explanation:

To get the amount of money colin gets

(2100*4)/5=1680

Lets do a table:

2 is himself5 is his wife3 is his son

2. 5. 3. Sum:10

(2*1680)/10. (5*1680)/10. (3*1680)/10

=336. =840. =504

Then the wife gets 840-504=336£

What is the slope for a line that is perpendicular to the line x = -6?

Answers

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?

Answers

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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What is the relationship between the difference in
the means and the MADs?

Answers

Answer:

Its the second one in the photo

Step-by-step explanation:

it's the second because when I clicked it I got it right.


The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3.

Answers

Answer:

[tex]y = \frac{1}{3} x^2[/tex]

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by [tex]\frac{1}{3}[/tex]

FINAL RESULT: [tex]y = \frac{1}{3} x^2[/tex]

Hope this helps!

Please help me!!
If there is an equation let's say

15y = 6/x

Can you multiply 15y by 6

to get 15/6y=x


Or do you need to multiply by x and divide by 15

Answers

Answer:

Yes Girlie, you need to multiply by x and divide by 15!!!!!!!!!

Step-by-step explanation:

What is the correct answer for this?

Answers

Answer:

55.5 cubic yards

Step-by-step explanation:

Here,

Length ( l ) = 5 yd

Base ( b ) = 3.7 yd

Height ( h ) = 3 yd

To find : Volume

This shape is a cuboild.

Formula : -

Volume of cuboild = lbh

Volume of cuboild

= 3 x 5 x 3.7

= 55.5 cubic yards

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]

[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]

55.5 cubic yards

The measure of an angle is 63.9. What is the measure of its supplementary angle?

Answers

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

Bryan decided to ride his bike along a new route home from school to avoid some construction. Before leaving school, he estimated how long the route would take. When Bryan arrived home, he saw the ride had taken him 16 minutes. His estimate had been 25% more than that. How long had Bryan estimated it would take to ride home from school?

Answers

Answer:   20 minutes.

Work Shown:

Estimate = 1.25*(actual time)

Estimate = 1.25*(16)

Estimate = 20

Bryan estimated it would take 20 minutes.

Note: The multiplier 1.25 represents an increase of 25%

Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y

Answers

Answer:

D) 28x + 14y

Step-by-step explanation:

7(4x + 2y)

Step 1: Distribute

(7 × 4x) + (7 × 2y)

Step 2: Simplify

28x + 2y

Answer:

[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]

Step-by-step explanation:

Use a distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 7(4x+2y)

Multiply by expanding.

⇒ 7*4x=28x

⇒ 7*2y=14y

Then, rewrite the problem.

⇒ = 28x+14y

Hence, the correct answer is 28x+14y.

I hope this helps you! Let me know if my answer is wrong or not.

If x and y intercepts of the line are 3/2 and 5/4 respectively then the equation of the line is

Answers

Answer:

10x + 12y -15 =0

Step-by-step explanation

Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm

Answers

Answer:

  210 cm²

Step-by-step explanation:

The area of the triangle can be found using the triangle area formula:

  A = 1/2bh

  A = 1/2(12 cm)(35 cm) = 210 cm²

_____

Additional comment

The legs (short sides) of the right triangle are effectively the base and height of the triangle.

The area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

What is a right-angle triangle?

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We have a right angle triangle with side lengths of 12cm, 35cm, and 36cm

Here the base length b = 12 cm

The height of the right angle triangle h = 35 cm

We know the formula for the area of the right angle triangle is given by:

[tex]\rm A = \frac{1}{2} bh[/tex]

[tex]\rm A = \frac{1}{2} \times 12\times 35[/tex]

A = 210 square centimeters

Thus, the area of the right angle triangle is 210 square centimeters if the side lengths are 12 cm, 35 cm, and 37cm

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pls help!! and thank you
find the area of the circles ​

Answers

10) 655785 cm 11) 706 cm 12) 1962 cm

Answer:

10) 25π OR 78.5398...yd 11) 1/4π OR 0.785398...ft 12) 100π OR 314.159265....in

Step-by-step explanation:

area of a circle = πr^2 (π x radius squared)
the radius is just half the diameter

so for eg:

number 10)

diameter = 10 yd so radius = 5 yd

5 squared = 25

π x 25 yd = 25π OR 78.5398...yd

i hope this helped :)

Please help I will give brainliest.

Answers

Answer:

ITs a plus b then c ding

Step-by-step explanation:

What is the area and perimeter for this

Answers

Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?

Answers

Answer:
0.55
Step-by-step explanation:
0.25-0.1=0.15
0.7-0.4=0.3
0.4+0.15=0.55
0.55+1.5=0.7

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