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Simplifying this we  have :

4x^(1/3)   - 2x^(1/3)  = 7 + x^(1/3)  

3x^(1/3) - 2x^(1/3)  = 7

x^(1/3)  = 7           cube  both sides

x = 7^3  =  343

Hey, CoolStuffYT.......good to see you back on, too  !!!!

1,000,000 =   A ( 1.05)^20  

1,000,000 / (1.05)^20  = A  ≈  $ 376,889.48

This doesn't seem possible...I believe this should  read "The sides of a 45 degree angle at P form an arc on the larger circle that is the same length as an arc on the smaller circle formed by the sides of a 60 degree angle at P.

On the larger circle 45° =  pi/4      ... On the smaller circle 60° = pi/3

Arc length on smaller circle  = r(pi/ 3)      where  r is the radius of the smaller circle

Arc length on larger circle   = R (pi/4)  where R is the radius of the larger  circle

And  since the   arc lengths are equal

r (pi/3)  = R (pi/4)

r = R (pi/4) / (pi/3)

r = (3/4)R

Area of  smaller circle  =     pi  ( (3/4)R)^2             9

_________________       _____________  =     ___

Area of larger circle            pi  R^2                       16

A central angle 𝜃 in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of 𝜃 in degrees. (Round your answer to one decimal place.)

Hello Guest!

\(b=r\cdot \theta \\ \theta =\frac{b}{r}\cdot \frac{180°}{\pi}\\ \theta =\frac{5m}{4m}\cdot \frac{180\deg}{\pi}\\\)

\(\theta=71.6\ deg\)

Find the measure of 𝜃 in radians. (Round your answer to two decimal places.)

\(b=r\cdot \theta \\ \theta =\frac{b}{r}\\ \theta =\frac{5m}{4m} \)

\(\theta =1.25\ rad\)

  !

The area of a sector of a circle with a central angle of 9𝜋/14 rad is 21 m2. Find the radius of the circle. (Round your answer to one decimal place.)     

Hello Guest!

\(A=r^2\pi \cdot\frac{9\pi}{14\cdot 2\pi }\\ A=r^2\cdot\frac{9\pi}{28}\\ r=\sqrt{\frac{28A}{9\pi }}\\ r=\sqrt{\frac{28\cdot 21m^2}{9\pi }}\)

\(r=20.8\ m\)

  !

A central angle 𝜃 in a circle of radius 4 m is subtended by an arc of length 5 m. Find the measure of 𝜃 in degrees. (Round your answer to one decimal place.)

Find the measure of 𝜃 in radians. (Round your answer to two decimal places.)
𝜃 =         rad

Tricky tricky

An 8.5-by-11-inch piece of paper is folded in half repeatedly (never being unfolded), each time shortening what was then the longer side. What is the length of the shortest side, in inches, immediately after the second fold? Express your answer as a decimal to the nearest tenth.

Hello Guest!

  \(8.5\times 11\)

            \(5.5\times 8.5\)                        1

                     \(4.25\times 5.5\)             2

 The length of the shortest side, in inches, immediately after the second fold is 4.3 inch.

  !

CPHILL! You're back! I haven't been on this site in a while either...

I'll take a look

\(xy + 5y + 4x + 20=1. \)

If we look at xy + 5y, we see that both terms share a factor of y . This gives me y(x + 5) + 4x + 20 = 1      correct

Similarly,4x and 20 do share a factor of 4 , giving me y(x + 5) + 4x(x + 5) = 1                                           

 No          4x(x+1)=4x^2+4x     and there are no squared terms in this problems.

y(x + 5) + 4x + 20 = 1

You need to get the 4x and the 20 onto the other side.  How do you do that?

After you do that you will be up to my number 3). 

3) You have to to get x by it self on the left

4) you cannot divide by 0

Do as much of that as you can and then show us what you have done.

Thank you so much!!

Im wrong

If we look at xy + 5y, we see that both terms share a factor of y . This gives me y(x + 5) + 4x + 20 = 1
Similarly,4x and 20 do share a factor of 4 , giving me y(x + 5) + 4x(x + 5) = 1

  these two terms have a factor of x + 5 , so  (y + 4)(x + 5) = 1

Dividing both sides by y + 4 and subtract both sides by to get x = 1/y + 4 - 5   am I right?

That question should look like this:

In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 16. Determine FH.

Thank you I am working on it.

Which one's 18, AD, or EG?

1) You have to leave all the terms with an x it it on the left side and take all the other terms to the other side. 

2) You have to factorize the left side.

3) You have to to get x by it self on the left

4) you cannot divide by 0

Do as much of that as you can and then show us what you have done.

No one else answer over me. Thank you.

Thanks guys! 

I am more than a little stuck myself.

I have drawn the pic.  I hope the link works properly   (let me know)

D=4; C=2; [((D nCr C * 11^(D-C))  / 12^D] * 3 = 121 / 1152