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Hello,

\(A+B+0C=15\)

\(0A+B+C=20\)

\(A+0B+C=25\)

Add all three

\(2A+2B+2C=60\)

Factor 2

\(2(A+B+C)=60\)

Divide by 2

\(A+B+C=30\)

IF A+B=15,

B+C=20,

C+A=25

THEN

A+B+C ?

Hello Guest!

 $80  is  200%  of  $40               

 $40  is  50%  of  $80  

 $40  is  100%  of  $40      

If I had $40 (100%)  in my pocket and someone gives me another $40, these  $80 are  NEW  100%  

AB=BC=5        AC=6

DC=?                         DC = cos(ACB) * AC  = 3.6

Angle ACB = ?           cos(ACB) = 3/5      ∠ ACB = 53.13°

Let F be the foot of the altitude from D to AC

DF = sin(ACB) * DC        DF = 2.88

 FC = cos(ACB) * DC       FC = 2.16

 EF = 3 - FC                     EF = 0.84

Area of  Δ DFC = (DF * FC)/2  = 3.11 u²

Area of  Δ DEF = (DF * EF)/2  = 1.21 u²

 Area of Δ DEC = 3.11 + 1.21 = 4.32 u²   

Find the number of ways of distributing 4 different balls among 4 identical boxes.

Counting questions are always tricky, but here is my thinking.

So no, I do not think your way makes any sense.

Feel free to ask questions.

The red is my edit. Impasta found a fault.  Good logic Impasta!

Pi can be approximated to 3.14. Try approximating \(-8\pi\) and \(10\pi\) and see how many integers are between them.

Triangle ABC has AB = BC = 5 and AC = 6. Let E be the foot of the altitude from B to AC and let D be the foot of the altitude from A to BC. Compute the area of triangle DEC.

AB = BC = 5

AC = 6

DC = 1/2 BC = 2.5

MD = 1/2 AC = 3

Let "F" be a midpoint of EC

DF = sqrt [(DC)² - (FC)²] = 2

The area of a triangle  DEC = (DF) * (FC) = 3 u²  

Hong swam kilometers against the current in the same amount of time it took him to swim kilometers 16 with the current. The rate of the current was 1 kilometer per hour. How fast would Hong swim if there were no current?

It would take less effort to decde the Cyrus cylinder than to understand this question. 

right, and do the rest of your homework yourself!

You can google answers if you want. 

please help me with other questions and I think it is measure

think of the other words go with meter

what does a thermometer do?

what is a thermos?

Surely you can guess the answer correctly.

In square ABCD, point M is the midpoint of side AB and point N is the midpoint of side BC. What is the ratio of the area of triangle AMN to the area of square ABCD?

Area of a triangle is 1/8 of the area of the square.

Therefore, the ratio of the area of a triangle AMN to the area of the square ABCD is  1 / 8  or 1 : 8

No problem, Melody!

You raise an interesting point Chris.

I do not think you have enough information to answer the question as you interpret it. (And I think your interpretation is the literal one)

You would need probabilities related to eating another cookie if you had already eaten x number of cookies. and you are not given that.

Yes you appear to be getting the hang of it very nicely.

so

y=7 sin3x -6

1) midline   dashed line

2)topline (my term, not formal)           very light line

3) bottom line (my term, not formal)     very light line

4) wavelength

5) A quarter of the wavelength (this will help with choosing the scale on the x axis)

6) What would be sensible points for the x axis?

7) Will it start on the midline, above or under, why?

8) Will is start going down or going up, why?

9) y intercept

10) plot 4 (or 5) points in advance just by knowing what the properties of the graph will be.

                  (I mean maxima, minima, and points on the midline)

11) Graph it from x=0 to x= wavelength

12) what is the first maxima? (read from graph)

13) what is the first minima?

14) What points are on the midline?

Copy all these questions and answer on your own post.  You can check your sketch and answers with Desmos.

You're welcome!

Thanks DL

The set of all possible values of u*v (dot product) is [0,1].

There are 9 possible numbers for the first ball, then 8 possible numbers for the second number, then 7 possible numbers.  There are 9 possible outcomes for the SuperBall, so the answer is (1200 - 9*8*7 - 9)/1200 = 687/1200.

x + y  =  10     --->     y  =  10 - x

Substitute this value into:  x² + y²  =  56

                                x² + (10 - x)²  =  56

                     x² + (100 - 20x + x²)  =  56

                            2x² - 20x + 100  =  56

                              2x² - 20x + 44  =  0

                               x² - 10x + 22  =  0   

Using the quadratic formula with  a = 1,  b = -10, and  c = 22:

                        x  =  [ 10 +/-  sqrt( 10² - 4(1)(22) ) ] / ( 2·1 )

                        x  =  [ 10 +/- sqrt(12) ] / 2

                        x  =  5 +/- sqrt(3)

Substituting these values back into  y  =  10 - x     --->     y  =  5 -/+ sqrt(3)

Answers:     ( 5 + sqrt(3), 5 - sqrt(3) )   and   ( 5 - sqrt(3),  + sqrt(3) )