Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…

Example 5: Writing And Solving An EquationThe Circles Are Identical. What Is The Area Of Each Circle?x

Answers

Answer 1

Step-by-step explanation:

radius =x+2

diameter=4x

Diameter=2(radius)

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=4/2

x=2

Subtitute x=2 in radius:

r=2+2=4

Area=πr²

Area=3.14×4²

Area=3.14×16

Area=50.24

Both the circles are identical so area is same.

Note:if you need to ask any question please let me know.


Related Questions

it confuses me when i have to fill in the in between i just dont quite understand how to work it out please explain it clearly

Answers

Make the unknown numerator be x and unkown denominotor be y

We have :  7 - [tex]\frac{x}{y}[/tex] = 6[tex]\frac{4}{5}[/tex]

            =>       [tex]\frac{x}{y}[/tex] = 7 - 6[tex]\frac{4}{5}[/tex]

                       [tex]\frac{x}{y}[/tex] = [tex]\frac{1}{5}[/tex]

So we need to fill in the box : [tex]\frac{1}{5}[/tex]

If the answer is helpful, Brainliest please!

A tire sale advertised 20% off on top-grade belted tires. If the list price for a particular tire is $80, how much would you have to pay for a set of 4 new tires?
(A) $320
(B) $64
(C) $78.40
(D) $256
(E) $309.60

Answers

Answer:

D. 256

80 times 4

320 times .20

320-64

(B) $64

80 Times 4

320 Times 20

The answer is $64

John is printing advertisement flyers for his business on colored sheets of paper. There
are 500 sheets of paper in one ream and a toner cartridge will print 2,000 sheets. John
has 3 toner cartridges and 15 reams of paper. Which will he run out of first?

Answers

Answer:

John will run out of toner cartridges first

Step-by-step explanation:

First, find how many sheets he can print with the 3 toner cartridges:

3(2000)

= 6000 sheets of paper

Find how many sheets of paper he has:

15(500)

= 7500 sheets of paper

Since 6000 is less than 7500, John will run out of toner cartridges first.

If some could please help me with this that would be great.

Answers

Answer:

I can't really see anything in here could you make the photo up close. Please thanks, I really want to help you :)))

Step-by-step explanation:

A solid with dimensions of 3.0 cm X 4.0 cm X 2.0 cm has a mass of 28 g. Will this solid float in
water? (water has a density of 1.00 g/ml)

Answers

Answer:

no because the density is higher than water at 1.166667

Step-by-step explanation:

No, this solid doesn't float in water because the density is higher than water at 1.166667.

To find solid float in water or not.

What is density?

Density is the measurement of how tightly a material is packed together.

It is given that :

dimensions of solid is 3.0 cm X 4.0 cm X 2.0 cm

The volume in milliliters is equal to the cubic centimeters.

So volume=3.0 cm X 4.0 cm X 2.0 cm

volume=24 [tex]cm^{3}[/tex]

Mass=28 g

Density= 1.00 g/ml

By the formula,

Density=Mass/ volume

1.00 g/ml=28 g/24 [tex]cm^{3}[/tex]

1.00 g/ml<1.166667

density of solid >density of water

So, the solid sink in water because the density is higher than density of  water at 1.166667.

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An automobile trip started at 8:35 A.M. and was completed at 2:15 P.M. on the same day. How long did the trip take?
(A) 4 hrs. 20 min.
(B) 4 hrs. 40 min.
(C) 6 hrs. 20 min.
(D) 5 hrs. 40 min.
(E) 5 hrs. 20 min.

Answers

Answer:

D

Step-by-step explanation:

If we do 8:35 + 40 mins it equals to 9:15

So then we have to add 5 hours to equal to 2:15 :D

The answer is D because when you count form 8 am to 2 pm you get 5 add the mins and here you go

fraction into the statement 1:50000​

Answers

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

express the trinomial (3x+8)(x-2)

Answers

Answer:

3x² + 2x -16

Step-by-step explanation:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

The expanded form of the trinomial (3x+8)(x-2) is 3x² + 2x -16

To expand the trinomial (3x+8)(x-2), we can use the distributive property.

First, we multiply the first terms of each binomial: 3x * x = 3x^2.

Next, we multiply the outer terms: 3x * -2 = -6x.

Then, we multiply the inner terms: 8 * x = 8x.

Finally, we multiply the last terms of each binomial: 8 * -2 = -16.

Putting it all together, we have:

(3x+8)(x-2)

=> 3x(x) + 3x(-2) + 8(x) + 8(-2)

=> 3x² - 6x + 8x - 16

=> 3x² + 2x -16

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List the domain and range of the relation.
{(1,-6), (5,5), (0, -6), (5,1) (1,6)}

Answers

Domain: {0, 1, 5}
Range: {-6, 1, 5, 6}
The domain of a relation is the x-values and the range is the y-values. In a coordinate pair the first digit is x and the second is y. So to find the domain put the first digits of each pair in order from least to greatest. Then to find the range do the same with the second digits in each pair. However, if a value repeats in the domain or range only put it once.

What is the slope of the line between (−4, 4) and (−1, −2)? type of line is the graph of y = 7?

Answers

Answer:

horizontal line

Step-by-step explanation:

Gradient is the slope of points

therefore,

[tex]gradient(m) = \frac{ - 2 - 4}{ - 1 - ( - 4)} \\ = \frac{ - 6}{3} \\ = - 2[/tex]

Which of the following values is part of the solution set to the inequality below?
50m + 100 < 75m + 25

Answers

Answer:

I think the answer is (0)

Step-by-step explanation:

I am not sure about this

Answer: m=6

Step-by-step explanation:

Take the inequality 50m + 11 < 75m + 25 and replace the m with (6).

This makes 50(6) + 100 < 75(6) +25. Multiply on each side.

The result is 300 + 100 < 450 + 25 which is the same as 400 < 475.

Brainliest please?

Hey! I need help please!

Answers

Answer:

11.36

Step-by-step explanation:

because the total amount of gallons divided by 34.08 will get you 11.36

Answer:11.36

Step-by-step explanation:

If Andrew spends 90 cents per litre and he goes 100km within 8.8 litres how far will $20 get him

Answers


It will get him to 252.5km

for what value of x does 4x = (1/8) x+5

Answers

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

what is the simplified equation for: -6 + 1/4x + 3(1/4x + 6)

Answers

Answer:

[tex] - 6 + \frac{1}{4} x + 3( \frac{1}{4} x + 6) \\ \\ = - 6 + \frac{1}{4} x + \frac{3}{4} x + 18 \\ \\ = - 6 + x + 18 \\ = x + 12[/tex]

Answer:

[tex] = - 6 + \frac{1}{4x} + 3( \frac{1}{4x} + 6) \\ = - 6 + \frac{1}{4x} + \frac{3}{4x} + 18 \\ = 12 + \frac{4}{4x} \\ = 12 + \frac{1}{x} \\ = \frac{12x + 1}{x} [/tex]

What is the solution to this system of equations?

Please help!!

Answers

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

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y=–6x+2
–12x – 2y=–4
How many solutions does this linear system have?

one solution: (0, 0)
one solution: (1, –4)
no solution
infinite number of solutions

Answers

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Write 4 3/7 as a decimal.
Enter your answer as a decimal rounded to the nearest hundredth, like this: 3.14

Answers

Answer:

4.43

Step-by-step explanation:

4 3/7

~Turn into an improper fraction

31/7

~Divide

4.42885714286...

~Round

4.43

Best of Luck!

Evaluate 3x-4 when x=5

Answers

Answer: 11

Step-by-step explanation:

Substitute x with 5.

3(5)-4=11

Answer:

11

Step-by-step explanation:

Plug in 5 for x to get the following expression:

3(5) - 4

Then just solve:

15 - 4

11

does anybody knoew what 6,114 divided by 63 is? (give me explaination please) long division btw
(my cousin needs it lolz!)

Answers

Answer:

ok i hops help u

Step-by-step explanation:

The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division

What is 6114 Divided by 63?

We provide you with the result of the division 6114 by 63 straightaway:

6114 divided by 63 = 97.047619

The result of 6114/63 is a non-terminating, repeating decimal.

The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.

This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .

6114 divided by 63 in decimal = 97.047619

6114 divided by 63 in fraction = 6114/63

6114 divided by 63 in percentage = 9704.76190476%

Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.

Repetends, if any, are denoted in ().

The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.

 

What is the Quotient and Remainder of 6114 Divided by 63?

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 6114 divided by 63 = 97 R 3

The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.

6114 is the dividend, and 63 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.

Six Thousand, One Hundred And Fourteen Divided by Sixty-Three

You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.

The FAQs include, for example:

What is 6114 divided by 63?

How much is 6114 divided by 63?

What does 6114 divided by 63 equal?

If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.

 

Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.

Conclusion

To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.

As division with remainder the result of 6114 ÷ 63 = 97 R 3.

Match each value with its formula for ΔABC.




(choices are in 2nd pic)

Answers

Answer:

1- x b

2-sinc

3-sin b

4-sin a

5- x c

6- x a

Step-by-step explanation:

I need help please i reposted this question 2 times no one knows the answer.1

Answers

Answer:

12 Points

Step-by-step explanation:

What is the quotient of 5.67 x 107 and 2.7 x
104 expressed in scientific notation?

Answers

The answer is: 1.638063*10^3

Five times the sum of a number and 7 is 8

Answers

Answer:

5(n+7) = 8

Step-by-step explanation:

this is the equation you are look for if its the value of n it would be -27/5

Answer:

Step-by-step explanation:

5(x + 7) = 8

x + 7 = 8/5

x = 8/5 - 7 = -27/5 = -5.4

Anjali paid $8 for a salad. She now has
$37. With how much money did she start?

Answers

Answer:

Below.

Step-by-step explanation:

37+8= 45

45-8=37

so 45.

Answer:

45

Step-by-step explanation:

total money = amount spent plus amount remaining

total money = 8+37

total money = 45

(x+1)(x+2)=0 solve it please by factorise​

Answers

Answer:

2x+2

Step-by-step explanation:

(x+1)(x+2)=0

Because it has the same i think you can just put the x's to together and make it 2x and multiply the 1x2 and that equals 2 so i think its 2x+2 maybe it could be 2x+3 or 2x*3 or 2x*2 but im pretty sure its 2x+2it makes sense because both of the x's are in the front of the + and the 1 and 2 are in the back

classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.

Answers

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

The two straight lines are parallel and the co-position angles are equal, ∠2 =∠6

What is angle?

An angle is formed when two straight lines as well as rays meet at a single endpoint. The point where two points converge is known as an angle's vertex. The term "angle" comes from the Latin word "angulus," that also means "corner."

Parts of Angles:

Vertex: A vertex is a corner of an angle or the intersection of two lines or sides.
Arms: The angle's two sides joined at a single end.
Initial Side: A straight line from which an angle is drawn is referred to as the reference line as well.
The side that the angle measurement is done up to is known as the terminal side.

Types of Angles:

Acute angles have a vertex angle that is less than 90 degrees.
Obtuse angles range from 90° to 180°.
At its vertex, a right angle has an exact measurement of 90°.
A straight angle is one that is 180° in length.
Reflex angles range from 180° to 360°.
A 360° angle is a full circle.

Solution:

The third straight line intersects the two parallel lines, creating angles 2 and 6.
∴ ∠2 and ∠6 are on the same side of the section line, and on the same side of the truncated parallel line.
∴ ∠2 and ∠6 are co-positions angles.
∴ ∠2 =∠6


Theorem :
The two straight lines are parallel and the co-position angles are equal.

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Triangle ABC is s defined by the points A(2,3), B (3,4), and C(6,3). Find the perimeter of a triangle. Round to 2 decimal places if necessary. Please help me :(

Answers

Answer:

a

Step-by-step explanation:

ssdsdaaaaashjkkkllbhgdsfiii

1 Reflection across the x-axis. R(-2,2)→R J(-1,4) ► J'_ G(3,4) →G​

Answers

Answer:

Play pes or fifa mobile or bgmi or see Jordaindians

is y = 4.3x proportional

Answers

Answer:

yupp y is always 4.3 times more than x

Step-by-step explanation:

Step-by-step explanation:

no its not proportional

answer from Gauth math

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