A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?

Answers

Answer 1

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)


Related Questions

Hey guys I need your help on this!!

Answers

Answer:

Domain: (-∞, ∞) or All Real Numbers

Range: (0, ∞)

Asymptote: y = 0

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒

Step-by-step explanation:

The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.

The range is from 0 to ∞. This where all values of y are defined.

An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.

The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.

As x ⇒ -∞, f(x) ⇒ 0

As x ⇒ ∞, f(x) ⇒ ∞

What are the scale factor and center of dilation?

Answers

Answer:

Step-by-step explanation:

Find the slope!!
and quick

Answers

Answer:

they are doing a multiples of -8

Answer:

The answer is - 8

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ by \: using \: any \: two \: point \: \\ then \: slope = \frac{ - 16 - ( - 8)}{2 - 1} = \frac{ - 8}{1} \\ slope = - 8[/tex]

Can someone help me with this please?

Answers

Answer:

Classify by angles: Equiangular

Classify by sides: Equilateral

Step-by-step explanation:

An equiangular triangle has angles that all measure 60 degrees. An equilateral triangle is a triangle that has sides will all of the same lengths. This triangle meets both of these requirements.

Hope it helps!

Line segment GH has endpoints at G(4,-8) and (-2,6). What is the midpoint of the line segment GH

Answers

Answer:

(1,-1)

Step-by-step explanation:

Find the middle between the two points:

4 to -2=6, so the middle would be 3

4-3=1

-8 to 6=14, so the middle would be 7

-8+7=-1

Answer:

[tex]\displaystyle (1,-1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point G(4, -8)

Point H(-2, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]:                                                       [tex]\displaystyle (\frac{4-2}{2},\frac{-8+6}{2})[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle (\frac{2}{2},\frac{-2}{2})[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle (1,-1)[/tex]

Find BC to the nearest tenth. Does anyone know how to do this? I rlly need it now pls.

Answers

9514 1404 393

Answer:

  41.4

Step-by-step explanation:

The Law of Cosines tells you ...

  a² = b² +c² -2bc·cos(A)

where sides a, b, c are opposite angles A, B, C, respectively. Filling in the given numbers, you have ...

  a² = 30² +26² -2·30·26·cos(95°)

  a² ≈ 1711.96

  a ≈ √1711.96 ≈ 41.38

The length of BC is about 41.4 units.

HELP ASAP DUE SOON!!

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In a series of operations without grouping symbo,multiplication and division are performed first TRUE or FALSE?​

Answers

Answer:

TRUE

Step-by-step explanation:

P.E.M.D.A.S

parenthesis

exponents

multiplication

division

addition

subtraction

An urn contains 3 red and 5 orange marbles. 2 marbles are selected without replacement. Find the probability that the second marble selected is orange given that the first marble selected is orange.

Answers

Answer: [tex]\dfrac{5}{14}[/tex]

Step-by-step explanation:

Given: An urn contains 3 red and 5 orange marbles.

Total marbles = 3+5=8

Probability of getting orange marble = [tex]\dfrac{\text{Number of orange marble}}{\text{Total}}[/tex]

[tex]=\dfrac{5}{8}[/tex]

Now marbles left = 7

Orange marbles left = 4

and Probability of getting orange marble = [tex]\dfrac47[/tex]

The probability that the second marble selected is orange given that the first marble selected is orange[tex]=\dfrac58\times\dfrac47=\dfrac{5}{2}\times\dfrac17=\dfrac{5}{14}[/tex]

Required probability= [tex]\dfrac{5}{14}[/tex]

For the group that studied in Question #8...

Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89

...what is the mean absolute deviation of the group, rounded to the nearest tenth?

Answers

Answer:

93

Step-by-step explanation

add all of the numbers and devide them by the amount of numbers there are.

The diameter of a circle is 54 cm. Calculate the circumference of the circle.

Answers

c=169.65
c=2πr=2*π*27= 169.646

please help me
Which measurements could create more than one triangle?

A. A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°

B. A triangle with sides measuring 4 inches, 8 inches, and 15 inches

C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches

D. A triangle with angles measuring 75°, 60°, and 45°

Answers

The answer is D i think .........

Answer:

your answer is up there

Step-by-step explanation:

Sorry for not being some help i really am Red Riot out

Need help ASAP Geometry

Answers

Answer:

Step-by-step explanation:

5x-1 is twice the bisector angle 4x-17 so

5x-1=2(4x-17)

5x-1=8x-34

-3x=-33

x=11, abc=5x-1

5(11)-1=54

A function is given:


f(x) = 3x + 12


a. Determine the inverse of this function and name it g(x).

b. Use composite functions to show that these functions are inverses.

c. Evaluate f(g(–2)). Explain: What is the domain?

Answers

Answer:

See explanations below

Step-by-step explanation:

Given the function

f(x) = 3x+12

Let y = f(x)

y = 3x+12

Replace y with x

x = 3y+12

Make y the subject

3y = x-12

y = (x-12)/3

Hence the required inverse is!

g(x) = (x-12)/3

b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))

f(g(x)) = f((x-12)/3)

Replace x in f(x) with x-12/3

f(g(x)) = 3(x-12)/3 +12

f(g(x)) = x-12+12

f(g(x)) = x

Similarly for g(f(x))

g(f(x)) = g(3x+12)

g(f(x)) = (3x+12-12)/3

g(f(x)) = 3x/3

g(f(x)) = x

Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other

c) Given f(g(x)) = x

f(g(–2)) = -2

The domain is the input variable of the function. Hence the domain is -2

Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6

Answers

Answer:

[tex]TU = 15[/tex]

Step-by-step explanation:

Given

[tex]\square MNOP \simeq\ \square STUV[/tex]

[tex]NO = 10[/tex]

[tex]OP = 4[/tex]

[tex]TU = x[/tex]

[tex]UV = 6[/tex]

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

[tex]NO : OP = TU : UV[/tex]

Substitute values for NO, OP, TU and UV

[tex]10 : 4 = x : 6[/tex]

Represent as fraction

[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]

[tex]6 * \frac{10 }{ 4 } = x[/tex]

[tex]x = 6 * \frac{10 }{ 4 }[/tex]

[tex]x = \frac{60 }{ 4 }[/tex]

[tex]x = 15[/tex]

Hence:

[tex]TU = 15[/tex]

The following circular sign is hanging up at ODMS. The diameter of the circle is 20 inches. Which measurement is closest to the area of the circle?





a
1256 in2

b
31.4 in2

c
62.8 in2

d
314 in2

Answers

I think the answer is B because the radius is 10 and 10 squared is 100 and 100 times 3.14 is 31.4

10. What is the length of s?
I
450

Answers

450 it is trust me hehdjxgjsbdjdjdvbbjdv

If x + 3 = 13, then the value of 5x – 74 is

Answers

Answer:

-24

Step-by-step explanation:

We are given two equations and are asked to solve if one equals a certain amount to the other.

Let's focus on x + 3 = 13, we need to first figure out what is x. Which is very simple, what plus 3 equals 13?

10 of course, therefore x = 10, and we can implement into the other equation.

5x - 74

Since x = 10, we can substitute x with 10 and then multiply.

5(10) - 74

50 - 74

What is 50 - 74?

-24

When using the distributive property, the expression

3(2x - 1) would be simplified to

Answers

Answer:

[tex]6x - 3[/tex]

Step-by-step explanation:

consider downloading photomath

9. Two homebuilders are in the middle of installing windows on their homes. Tom uses the equation

y = 7x + 2 to model the number of windows he is installing on his home and Suzanne uses the equation

y = 6x + 5 to model the number of windows she is installing on her home. In each formula, x represents the number of days that Tom and Suzanne work on installing windows.


Who is working at a faster rate? How do you know?









Who started with the most windows already installed? How do you know?

Answers

Answer:

Hence, Suzanne is working at a faster rate.

Suzanne started with the most windows already installed

Step-by-step explanation:

Number of windows he's installing :

Tom's equation :

y = 7x + 2

Suzanne's equation :

y = 6x +5

x = number of days used

Let y = 10

Tom:

10 = 7x + 2

10 - 2 = 7x

8 = 7x

x = 8/7 ; x = 1.143

Suzanne :

y = 6x + 5

10 = 6x + 5

10 - 5 = 6x

5 = 6x

x = 5/6

x = 0.833

Since 0.833 < 1. 143

Hence, Suzanne is working at a faster rate.

Intercept in Suzanne's equation = 5

Intercept in Tom's equation = 5

Suzanne started with the most windows already installed

100 POINTS can someone help please??
I need to rewrite this poem into an adaptation(simple words easier to understand) and I am struggling ​

Answers

Answer:

i dunno

Step-by-step explanation:

Answer:

i had done already.thanks for 50 points

Find the slope of the line.
a.-7
b.7
c.-1
d.1

Answers

Answer:

(-1)

Since it is a downward slope with two equalized points x=7 and y=7. The slope is m = -1.

Answer:

d.1

Step-by-step explanation:

For this question, use change in y value from one point to another over change in x value from one point to another.

which of theses three numbers is the largest 4.187 or 4.2 or 4.099

Answers

4.099 is the largest then 4.187 then 4.2 is the smallest
largest is 4.187, i think, im sure it is

3 cos A = 4 sin A
find
a) cos A
b) 3-cot2 A+ cosec2A

Answers

Answer:

a). cosA = 4/5

b).

[tex]3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0[/tex]

Answer:

hope it will help you☺

Step-by-step explanation:

hope

Plz help ill give u brainliest!

Answers

Answer:

4320

Step-by-step explanation:

Multiply 18000 by 6 then multiply it by 0.04 and you get 4320

IT IS AAAAAAAAAAAAAA

$18,000x6 then divide by .40

So it should be d!

Hellppppp plzzzzzzzz

Answers

a) 20/37
b) 11/37
c) 34/37
d) 9/37

You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?

Answers

Answer:

7.80%

Step-by-step explanation:

Given data

Amount borrowed=$3,209

Payback amount= $4,210.21

Simple interest= 4,210.21-3,209= 1001.21

time= 4 years

We know that

SI= PRT/100

1001.21= 3,209*R*4/100

cross multiply

1001.21*100= 12836R

100121/ 12836= R

R=7.80

Hence the rate is 7.80%

A laptop computer is normally $1300 but is discounted to $988. What percent of the original price does Charles pay?

Answers

Answer:

Step-by-step explanation:

Your answer

24% discount.

Pays a total of 76 % cost

Mark it as Brainlist. Follow me for more answer.

help me with this answer please !

Answers

Answer:

pick number 3 I think that's the one

Please help the problems are in the picture provided below.

Answers

Answer:

Top Left= 40yd²

Top Right= 441yd²

Bottom Left= 21ft²

Bottom Right= 105ft²

Step-by-step explanation:

Top left- 10×4= 40

Top right- 21×21= 441

Bottom right- 7×3= 21

Bottom left- 15×7=105

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