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Type: Posts; User: Dr.Peterson

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1. ## Thread: Draw a right triangle with an acute angle and radius of incircle given

by Dr.Peterson
Replies
7
Views
278

### I wasn't saying that the solution isn't explained...

I wasn't saying that the solution isn't explained mathematically, but that you didn't directly tell us what you were assigned to do. As a result, we don't know what your teacher would consider to be...
2. ## Thread: Draw a right triangle with an acute angle and radius of incircle given

by Dr.Peterson
Replies
7
Views
278

### Mariele, you haven't answered my questions along...

Mariele, you haven't answered my questions along with fixing the pictures. Doing so might help us tell you what, if anything, is "wrong". We can't tell yet what standards to judge your work by.

If...
3. ## Thread: Draw a right triangle with an acute angle and radius of incircle given

by Dr.Peterson
Replies
7
Views
278

### The picture has too little resolution; but what I...

The picture has too little resolution; but what I can make out from it looks as if you probably have a valid idea. Can you either post a better picture (a screen shot might be all you need), or tell...
4. ## Thread: Why do equations with two distinct variables with 2 distinct linear equations work?

by Dr.Peterson
Replies
10
Views
324

### We did prove that! Did you miss the "if ... then"...

We did prove that! Did you miss the "if ... then" in my answer?

The work we do in solving shows that IF (S,U) is a solution, THEN it must be (25, 65). Do you see this?

Consequently (this is...
5. ## Thread: 3 equations 3 variables: k_1e^{k_2^0}+k_3=0, k_1e^{k_2^(0.1)}+k_3=1...

by Dr.Peterson
Replies
12
Views
313

### Using those numbers, I was able to find the book...

Using those numbers, I was able to find the book online, and I see why you mentioned finding the solution without using Mathematica: that's how they say they found it! And they emphasized that the...
6. ## Thread: How to solve congruence equation with unknown power? [11^a=9 (mod 23)]

by Dr.Peterson
Replies
6
Views
201

### Here...

Here is a discussion of this sort of problem, going into some depth for both a small problem like yours, and a large one (which would easily take the place of a final exam).
7. ## Thread: 3 equations 3 variables: k_1e^{k_2^0}+k_3=0, k_1e^{k_2^(0.1)}+k_3=1...

by Dr.Peterson
Replies
12
Views
313

### Just for the sake of giving you some feedback you...

Just for the sake of giving you some feedback you can't get when you teach yourself, we would say you "raised e to the 0 power", or something like that, not "rose up"; and you didn't make e = 1 (it's...
8. ## Thread: Why do equations with two distinct variables with 2 distinct linear equations work?

by Dr.Peterson
Replies
10
Views
324

### The work I did showed that IF a given pair (S, U)...

The work I did showed that IF a given pair (S, U) is a solution of the system, THEN it must be (25, 65). If you don't see that, then you didn't really understand what I said.

This means that there...
9. ## Thread: 3 equations 3 variables: k_1e^{k_2^0}+k_3=0, k_1e^{k_2^(0.1)}+k_3=1...

by Dr.Peterson
Replies
12
Views
313

### As I read this, the original problem (which you...

As I read this, the original problem (which you really should have stated for us, to give us context) probably involved an equation something like A = k_1e^{k_2t} + k_3, and you were given pairs (t,...
10. ## Thread: Brain Twister Puzzle: 2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=??

by Dr.Peterson
Replies
2
Views
117

### I would try factoring the right sides (since they...

I would try factoring the right sides (since they are large), and look for a direct connection with one of the numbers on the left. You should see something nice.
11. ## Thread: I don't understand how to find range of stem-and-leaf plot

by Dr.Peterson
Replies
6
Views
193

### Good question. A key would have been a good idea,...

Good question. A key would have been a good idea, but perhaps the context implies it.

My default interpretation would be that the numbers are intended to be whole numbers, so the leaves would be...
12. ## Thread: A rectangular piece of copper is 6 inches longer than it is wide....

by Dr.Peterson
Replies
6
Views
287

### I hadn't heard of the site, perhaps for good...

I hadn't heard of the site, perhaps for good reasons.

Note that if you think a quadratic trinomial might not be factorable, you can check by calculating the discriminant. If it is a perfect...
13. ## Thread: I don't understand how to find range of stem-and-leaf plot

by Dr.Peterson
Replies
6
Views
193

### Have you looked up information, in your textbook...

Have you looked up information, in your textbook or elsewhere, so that you can try it yourself? Here is one explanation of how to read one. If you just search for the name you will find many sites...
14. ## Thread: I don't understand how to find range of stem-and-leaf plot

by Dr.Peterson
Replies
6
Views
193

### The range of a data set is the difference between...

The range of a data set is the difference between the lowest and highest values (that is, how far it spreads).

The stem-and-leaf plot was created from a number of values. What is the lowest of...

by Dr.Peterson
Replies
3
Views
122

### So, you've got the spreadsheet formula worked...

So, you've got the spreadsheet formula worked out, and you've expressed it in words; are you saying that for some reason you need it expressed so that a mathematician will understand it? Why?
...
16. ## Thread: A rectangular piece of copper is 6 inches longer than it is wide....

by Dr.Peterson
Replies
6
Views
287

### Actually it is factorable. What convinced you...

Actually it is factorable. What convinced you that it is not?

But why does it have to be factorable? You can always solve the equation by the quadratic formula (unless you haven't learned it yet);...
17. ## Thread: Why do equations with two distinct variables with 2 distinct linear equations work?

by Dr.Peterson
Replies
10
Views
324

### I made a little correction here so that we can...

I made a little correction here so that we can see that your work isn't wrong. Of course, you have to finish and check:

S+65=90
S = 25

Check:
18. ## Thread: Conversion of formula (or equation) given in metric form to US customary unit form

by Dr.Peterson
Replies
5
Views
176

### I assume you are using "**" to mean an exponent,...

I assume you are using "**" to mean an exponent, so the problem is this:

The maximum gas velocity V (in m/s) in a pipe is given by V =175 \left(\dfrac{1}{\rho}\right)^{0.43} where the units of...
19. ## Thread: Integration of Logarithmic Functions: int [ e^x (e^x + 1)^2 ] dx

by Dr.Peterson
Replies
4
Views
204

### This is the best way to see it, I think (though...

This is the best way to see it, I think (though I'm not sure what you mean by "meet"); the fact that a solution is a family of functions, not just one function, is the essence of what Khan said. The...
20. ## Thread: Are the options given for this question incorrect?

by Dr.Peterson
Replies
1
Views
101

### It is not just the options that are incorrect --...

It is not just the options that are incorrect -- the figure itself is wrong!

If CD = 15, then BD = 7.5 by the same sort of reasoning you (correctly) used. But they say it is 5.

So there must be...
21. ## Thread: Conversion of formula (or equation) given in metric form to US customary unit form

by Dr.Peterson
Replies
5
Views
176

### It may be helpful if you can give a specific...

It may be helpful if you can give a specific example of the sort of formula you are asking about, and the units you want to change it to, so we can be sure we are answering the right question.
...
22. ## Thread: Finding the angle of two related triangles

by Dr.Peterson
Replies
3
Views
150

### I'm not sure whether the actual fourth-degree...

I'm not sure whether the actual fourth-degree equation will be better to use than some preliminary form. For example, it is possible that if you just write an expression that should give a value...
23. ## Thread: Name the postulate or theorem you can use to prove two triangles are equal.

by Dr.Peterson
Replies
6
Views
166

### In this problem, they have both marked and stated...

In this problem, they have both marked and stated the congruences (of angles, though not of sides). I don't see how you can say nothing is marked; but in general you should primarily go by what is...
24. ## Thread: Suppose line A equals line B and line C equals line D. Can you use the SSS Postulate.

by Dr.Peterson
Replies
6
Views
176

### There are different ways to indicate that sides...

There are different ways to indicate that sides are congruent. In this case, nothing is marked; all the information apart from how parts are connected is stated in words or symbols. What does it say...
25. ## Thread: Finding the angle of two related triangles

by Dr.Peterson
Replies
3
Views
150

### "Solvable" can mean different things! Your...

"Solvable" can mean different things!

Your equation will turn into a fourth-degree equation. I took a non-trigonometric approach, and ended up with a fourth-degree equation in B. It may work out...
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