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14 AnswersMost Recent / 30-Day Views

The first number is x. The third number is 3x. The second number is 3x-8.

x+3x+3x-8 = 112

7x=120 → x=120/7

The three numbers are 120/7, 304/7, 360/7. Or easier to visualize, 17 1/7, 43 3/7, 51 3/7.

I admittedly cheated because some quick attempts at an answer didn’t point me in the right direction. So I did this:

19 Views

You’re welcome - I’m doing your homework problem for you.

Substitute x=0 into it. y =3. Substitute y=0 into it. x=2. You are now presented with a right triangle of height 3 and base 2 with the right...

An isosceles triangle does not have a hypotenuse. Only right triangles do.

11 Views

70+ x + (x-20) = 180.

2x-20 = 110

2x=90

x=45

So the triangle is 70, 65, and 45.

I’m glad I solved your homework assignment :)

12 Views

They are inverse functions of each other. Rather than explain that, this should say it better than I could:

61 Views

0.

AC has a frequency, usually denoted in Hz. In the United States it’s 60 Hz, and elsewhere it’s often 50 Hz.

Worldwide AC Voltages and Frequencies by Ron Kurtus

Voltage and frequency are not related...

“The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides.”

http://mathforum.org/library/drm...

n(n-3)/2=54 => n=12.

The polygon has twelve sides.

33 Views

Ignore the 1/x portion. The question simply asks what the range of cos(y) is when you think about it, where I’m substituting y=1/x. You can map x to every value of its reciprocal, save for the case...

I did it both by hand (square the expression three times and then multiply by the original) and checked it on Wolfram Alpha. My answer matched. The answer is 378.

I originally said ten cuts, but thought of something.

If it’s paper, you could fold it in thirds one way, and cut down the long center of the folded paper. You now have two strips containing six box...

3.

3, 13, 17

p has to be odd as the only even prime is 2, producing 12 and 16, neither of which is prime.

Any of the other odd numbers is either itself a multiple of three or either p+10 or p+14 will ...

2 points → 1 vertex

3 points (a triangle) → 3 vertices

4 points (quadrilateral) → 6 vertices (4 edges + 2 diagonals)

This ends up being the sequence of Pascal’s triangle or also the sum of integers 1…...

Someone will have a more rigorous answer, but here’s how I looked at it. I was assuming that the base in each case was an integer. It would also have to be a positive integer because the cube is po...

B.S. Computer Science and Mathematics, Rensselaer Polytechnic InstituteGraduated 1996

Lives in Chatham, NJ2010-present