The circumference of a circle is 8π cm. What is the area, in square centimeters? Express your answer in terms of pi π.

Answer:

[tex]\frac{x+3}{x}[/tex] or x+3/x

Step-by-step explanation:

Using D.O.T.S (difference of two squares) formula :

[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]

[tex]x^{2} -9= (x+3)(x-3)[/tex]

Factorise the second bit:

[tex]x^{2} -3x = x(x-3)[/tex]

Now write out this fraction:

[tex]\frac{(x+3)(x-3)}{x(x-3)}[/tex]

Now we can cancel out repeated terms (x-3):

[tex]\frac{(x+3)}{x}[/tex]
This is our final answer:

[tex]\frac{x+3}{x}[/tex]

Answer:

[tex]x^{2} -3x-\frac{9}{x^{2} }[/tex]  

Step-by-step explanation:

[tex]x^{2} -9[/tex] ÷ [tex]x^{2} -3x[/tex]

To add or subtract expressions, expand them to make their denominators the same. Multiply [tex]x^{2} -3x[/tex] times [tex]\frac{x^{2} }{x^{2} }[/tex]

-

[tex]\frac{(x^{2} -3x)x^{2} }{x^{2} } - \frac{9}{x^{2} }[/tex]

Since [tex]\frac{(x^{2} -3x)x^{2} }{x^{2} }[/tex] and [tex]\frac{9}{x^{2} }[/tex]  have the same denominator, subtract them by subtracting their numerators.

-

[tex]\frac{(x^{2} -3x)x^{2} -9}{x^{2} }[/tex]

Do the multiplications in [tex](x^{2} -3x)x^{2} -9[/tex]

-

[tex]\frac{x^{4}-3x^{3}-9 }{x^{2} }[/tex]

Using a proportional relationship, it is found that the area is of 637 square inches when the radius is of 7 inches.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the surface area of a balloon varies directly as the square of mits radius, hence:

[tex]S = kr^2[/tex]

The area is 325 in² when the radius is 5 in, hence we use it to find r.

[tex]S = kr^2[/tex]

[tex]325 = 25k[/tex]

[tex]k = 13[/tex]

Hence:

[tex]S = 13r^2[/tex]

When the radius is of r = 7 in, the area in square inches is given by:

[tex]S = 13r^2 = 13 \times 49 = 637[/tex]

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer...

Ok done. Thank to me :>

Answer:

x = 13 1/4 for K12

Answer:

[tex]\cot(\theta)[/tex]

Step-by-step explanation:

Trig identities:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

[tex]\cos(2\theta)=cos^2(\theta)-sin^2(\theta)[/tex]

[tex]\implies \cos(2\theta)=2cos^2(\theta)-1[/tex]

[tex]\implies2cos^2(\theta)= \cos(2\theta)+1[/tex]

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Therefore,

[tex]\dfrac{\cos(2\theta)+\sin(\theta) \times \csc(\theta)}{\sin(2\theta)}[/tex]

[tex]=\dfrac{\cos(2\theta)+\dfrac{\sin(\theta)}{\sin(\theta)}}{\sin(2\theta)}[/tex]

[tex]=\dfrac{\cos(2\theta)+1}{\sin(2\theta)}[/tex]

[tex]=\dfrac{2cos^2(\theta)}{\sin(2\theta)}[/tex]

[tex]=\dfrac{2cos^2(\theta)}{2\sin(\theta)\cos(\theta)}[/tex]

[tex]=\dfrac{cos(\theta)}{\sin(\theta)}[/tex]

[tex]=\cot(\theta)[/tex]

Answer:

Part A: 4 4/5 = 24/5

24/5 / 2/5 = 24/5 * 5/2 = 12 pieces

Part B:

Quotient means the number obtained by dividing one number by another. In this case, it is 4 4/5 and 2/5. If the quotient is a whole number, then the number that is divided by another number is divisible by the other number

Answer:

1

Step-by-step explanation:

1 that is to the power of 0 is 1

Answer:

3

Step-by-step explanation:

N*(2/3)=4

N=4*(3/2)=6

1/2 of N is 3

If the 2/3rd fraction of N is 4, then 1/2 fraction of N is 3.

Fractions are representations of equal parts of a whole number.

It is written as a/b, read as "a by b", and represents 'a' equal parts of 'b' equal parts.

'a' is called the numerator, and 'b' is called the denominator.

In the question, we are asked if 2/3 N is 4, then what is 1/2 of N.

We can represent the first fractional expression as:

2/3 of N = 4.

Now, we will solve the above expression by replacing of with multiplication.

2/3 * N = 4,

or, 2N/3 = 4.

Now, we will cross-multiply to get:

N = (4*3)/2 = 6.

Now, we are asked to find 1/2 of N.

We simply multiply (1/2) to the value of N:

(1/2)*N = (1/2)*6 = 3.

Thus, if the 2/3rd fraction of N is 4, then 1/2 fraction of N is 3.

Learn more about fractions at

https://brainly.com/question/1622425

#SPJ2

Answer:

Note that 5 to the power of 3 is the same as 5 raised to 3. In x y, 5 is the base (x) and 3 is the exponent (y). Therefore, you can also write the problem and the answer as follows: 53=125 You will also get the answer of 5 to the power of 3 (5 to the 3rd power) if you type 5 then xy then 3 and then = on your scientific calculator.

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The closest numbers I could find were 26+26, and 24+28.

-hope it helps

Answer:

25 and 27

Step-by-step explanation:

given two number are X+2,X+4

X+2+X+4=52

2x+6=52

2X=52-6

X=46/2

X=23

X+2=23+2=25

X+4=23+4=27

hope this will help you

Answer:

  x -5y = -20

Step-by-step explanation:

One way to write the equation for a line through two points is to use the slope formula. The slope is the same everywhere on a line, so the slope between the given points is the same as the slope between one of them and the general (x, y) point.

  m = (y2 -y1)/(x2 -x1)

  m = (5 -3)/(5 -(-5)) = (y -3)/(x -(-5))

  2/10 = (y -3)/(x +5)

  x +5 = 5(y -3) . . . . . . . multiply by 5(x+5)

  x -5y = -20 . . . . . . rearranged to standard form

The diameter of Christy's pool is 4 times larger than the other .-.

We know that for a circle of radius R the area is given by:

A = π*R^2

Let's say that:

Then we have the corresponding areas.

We know that:

A = 16*A'

Replacing the equations, we get:

π*R^2 = 16*(π*R'^2)

R^2 = 16*R'^2

If we apply the square root in both sides, we get:

√R^2 = √(16*R'^2)

R = 4*R'

This means that the radius of Christy's pool is 4 times larger than the one of Emily's pool.

And the same is for the diameter (twice the radius).

D = 2*R

D' = 2*R'

Then:

D = 2*R = 2*(4*R') = 4*(2*R') = 4*D'

The diameter of Christy's pool is 4 times larger than the other diameter.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

»(f o g)(x)

»f(g(x))

»f(x - 1)

»x - 1 + 1

»x✅

Answer:

fg(x) = x

Given items:

solve for fg(x):

→  f g(x)

→  f(x - 1)

→  (x - 1) + 1

→  x

note: go form right to left in such function problems.

Step-by-step explanation:

Corresponding angles and sides are listed in the same position when 2 triangles are either given congruent or asked to be proven congruent.

For example triangle ABC and triangle XYZ

Corresponding sides are AB and XY, BC and YZ, AC and XZ

corresponding angles are angle A and angle X and so on....

Answer:

this is what I am thinking

sorry if it is wrong

Step-by-step explanation:

The coordinates of Point P are (0,2.5)

The coordinates of Point T are  (1.5,1.5)

Answer:

36

Step-by-step explanation:

Do the brackets first:

(7+9)=16

(4×5)=20

Now we add our 2 brackets to get our final answer

16+20=36

hope you will like it

OOOF! I would send a screenshot to my teacher if that happened. Online math sometimes does that. On maths watch I answered correctly but it doesn't accept the answer. Its so annoying

Answer:

It 2/4

Step-by-step explanation:

t 2/4 because on the graph the lines is on 2/4

The amount of the money that goes into savings is $18.75.

The term savings refers to a portion of your income that you set aside for a particular purpose which is safe keeping for the future.

We are told in the question that 10% of the income goes into savings. If the income is $187.45, then the savings is;

Savings = 10/100 * $187.45 = $18.75

Learn more about savings: https://brainly.com/question/13758840

Answer:

-19 + 5x

Step-by-step explanation:

-0.20(95 -30x) - x = (-0.20*95) + [ (-0.20)*(-30x)] - x

                              = - 19 + 6x - x

                              = -19 + 5x

Answer:

[tex]493.5[/tex][tex]cm^{2}[/tex]

Step-by-step explanation:

From the diagram provided, we have the following information;

Parallelogram CDEF

[tex]Base=29[/tex]

[tex]Height=21[/tex]

Triangle EBF

[tex]Base=11[/tex]

[tex]Height=21[/tex]

We would begin by calculating the area of both plane shapes;

The area of the parallelogram is given by the formula;

[tex]Area=b*h[/tex]

[tex]Area=29*21[/tex]

[tex]Area=[/tex][tex]609cm^{2}[/tex]

The area of the triangle is given by the formula;

[tex]Area=[/tex][tex]\frac{1}{2}b*h\\[/tex]

[tex]Area=[/tex][tex]\frac{1}{2}*11*21[/tex]

[tex]Area=[/tex][tex]\frac{231}{2}[/tex]

[tex]Area= 115.5[/tex][tex]cm^{2}[/tex]

To find out how much greater is the area of the parallelogram (CDEF) than that of the triangle (EBF) in square centimeters, we simply find the difference between both results and this now gives us;
[tex]Parallelogram-Triangle=609-115.5[/tex]

[tex]Parallelogram-Triangle=493.5[/tex]

[tex]Answer: 493.5[/tex][tex]cm^{2}[/tex]

Answer:

Jouc ÷4 i for number 69263

hope it helps

»int 4x dx = ?

»(4/1 + 1)x¹+¹ + c

»4/2 x² + c

»2x² + c✅

[tex]\\ \rm\hookrightarrow {\displaystyle{\int}}4x dx[/tex]

[tex]\\ \rm\hookrightarrow 4(\dfrac{x^{1+1}}{2})[/tex]

[tex]\\ \rm\hookrightarrow 4x^2/2[/tex]

[tex]\\ \rm\hookrightarrow 2x^2[/tex]

Answer:

150

Step-by-step explanation:

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving to the airport (in mph)

⇒ v + 15 = average speed driving from the airport (in mph)

Using:  distance = speed x time

[tex]\implies t=\dfrac{d}{v}[/tex]

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

[tex]\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}[/tex]

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

[tex]\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1[/tex]

Now all we have to do is solve the equation for v:

[tex]\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1[/tex]

[tex]\implies \dfrac{18(v+15)+18v}{v(v+15)}=1[/tex]

[tex]\implies 18(v+15)+18v=v(v+15)[/tex]

[tex]\implies 18v+270+18v=v^2+15v[/tex]

[tex]\implies v^2-21v-270=0[/tex]

[tex]\implies (v-30)(v+9)=0[/tex]

[tex]\implies v=30, v=-9[/tex]

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

Let s represent the speed on the return trip

So, The initial speed will be (s-15)

Equation of time:

[tex] \boxed{ \tt \: time = \frac{distance}{speed} }[/tex]

return time + initial time = 1 hr

[tex] \sf\frac{18}{s} + \frac{18}{s - 15} = 1[/tex]

⚘Solution for the complete equation in attachment!!~

[tex]\rule{300pt}{2pt}[/tex]

Answer:

[tex]45*(9x^2+4)[/tex]

Step-by-step explanation:

STEP

1

:

Equation at the end of step

1

:

((5x2•(34))+(5•(33)))+(5•32)

STEP

2

:

Equation at the end of step 2

((5x2•(34))+(5•(33)))+(5•32)

STEP

3

:

Equation at the end of step

3

:

((5x2 • (34)) + (5 • 33)) + (5•32)

STEP

4

:

Equation at the end of step 4

((5x2 • (34)) + (5•33)) + (5•32)

STEP

5

:

Equation at the end of step

5

:

((5x2 • 34) + (5•33)) + (5•32)

STEP

6

:

Equation at the end of step 6

((5•34x2) + (5•33)) + (5•32)

STEP

7

:

STEP

8

:

Pulling out like terms

8.1 Pull out like factors :

405x2 + 180 = 45 • (9x2 + 4)

Polynomial Roots Calculator :

8.2 Find roots (zeroes) of : F(x) = 9x2 + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 9 and the Trailing Constant is 4.

The factor(s) are:

of the Leading Coefficient : 1,3 ,9

of the Trailing Constant : 1 ,2 ,4

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 13.00

-1 3 -0.33 5.00

-1 9 -0.11 4.11

-2 1 -2.00 40.00

-2 3 -0.67 8.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

45 • (9x2 + 4)

Answer: y = 2x − 4

The correct answer is B) y = 2x − 4

Step-by-step explanation:

Move all terms that don't contain y to the right side and solve:

y = −4 + 2x

Then reorder −4 and 2x:

y = 2x − 4

Final answer is:

B) y = 2x − 4