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So for perpendicular bisectors has slope 1/6 since the first one has slope -6 and we then get thta the y-intercept is 3 1/3 so we get that the answer is 7/2.

So for perpendicular bisectors has slope 1/6 since the first one has slope -6 and we then get thta the y-intercept is 3 1/3 so we het that the answer is 7/2.

I'm not sure if I understand your question!  The 37th pentagonal number is=2035. The 36th pentagonal number is =1926. So: the 37th - 36th =2035 - 1926 = 109 "points" are to be added to the 36th number to get the 37th number ?? Is that what you wanted?

You should post the asymptote code with the problem!  That keeps it simple.

the formula for the volume of a pyramid is length*width*height/3. We know the length and the width but we don't know the height. Since we know this is a regular pyramid, and we know all edges have the length of twelve, we can draw a triangle with the information we know

 height^2 + (1/2*length)^2 = k^2(where k is the length from any corner to the tip of the pyramid.) know we plug in the information we know.

height^2 + 36 = 144

height^2 =108 

height = 6 root 3.

so then we plug in those values in to the formula for a pyramid and get 12*12*6 root 3 /3

= 4*12*6root3

=48*6(sqrt108) = 1728*sqrt(3)

There are 1,582 numbers between 1,000,000 and 9,999,999 that sum up to 10 using the three digits of:1, 2, 3

Let the total number of children =N
Let the average height of all N children =A
If 10 of the children were 10 cm taller =10*10 =100 cm
[N *A + 100] / N =[N * A] / N + 5, solve for N
[AN + 100]/N =A + 5
AN + 100 =N[A + 5]
AN + 100 =AN + 5N
5N = 100
N =100/5 = 20 - there were 20 kids.

German

Wozu braucht man diese Addition?   >>>  Why do you need this addition?

Danke für dein Danke. It doesn't happen that often here.

  !

f(0) = 3.

As x increases, f(x) decreases, but does not reach 1.  So the range of f(x) is [3,1).

HINT: sqrt both sides and you get X+Y=sqrt1

gwenspooner85: You got the right answer but made a typo. 1.5x * y =6x, y = 4 not 4.5. The easiest way to do it is to divide: 6x / 1.5x =4 - 1 * 100 = 300% increase over the first phase.

That's actually wrong. I know this because I just solved it.

Because PQ, UV, and  SR are all perpendicular to QR, we have .PQ || UV || SR Therefore, we have
Because ST/SR = 2/3 and PQ = SR, we have
Since , we have .

We have  by AA Similarity, so . Therefore, we have:

\(\frac{UQ}{US} = \frac{PQ}{ST} = \frac{SR}{ST} = \frac{3}{2}.\)

Since UQ/US = 3/2, we have UQ/QS = 3/5.

We have triangle UQV ~ trinagle SQR by AA Similarity, so UV/SR = UQ/QS = 3/5.

Please check your answers more carefully. I have heard of some trolls on this site that only write a one sentance answer with the wrong answer like, "By similar triangles, 19". I would highly recommend people doubting people who answer questions in that way and check if their answer does, indeed, work. For anyone to believe you, please write down a specific step by step answer, so people can see your work. Although this might just be a mistake in your calculations, I want to put that out there. If people are just randomly trolling, it is a shame, really. Thank you.

You're welcome.

Thank you!!! I don't actually know what language you speak though...

The angles in a right triangle form an arithmetic progression.  If the smallest angle is 13 degrees, then what is the largest angle? 

1.  IF you'd said the smallest angle is 30^o instead of 13^o  

     then we could have an arithmetic progression. 

     30^o - 60^o - 90^o  the largest angle still is the 90^o angle. 

     In a right triangle, the 90^o angle is always the largest   

     angle because neither of the other angles can be 90^o  

2.  IF you'd said simply triangle, instead of right triangle, 

     then the arithmetic progression is 13^o - 60^o - 107^o  

     Did you really mean to ask one of the two cases above?  

_.

Thank you

Let x be the original cost of the item and y be the second percent increase of its cost. 

In the first percent increase, the price of the item becomes 1.5x. Then in the second 1.5x * y=6x. y must be equal to 4.5x, which means it is 300%.

A pound is 16 ounces. Juan's cat is 5*16=90 ounces. His neighbor's puppy is 102 ounces. 102>90 so Juan's cat does not weigh more than the puppy.

Suppose f(x) is a cubic polynomial y = ax^3 + bx^2 + cx + d.  Then

d = 47

a + b + c + d = 32

8a + 4b + 2c + d = -13

27a + 9b + 3c + d = 16

==> f(x) = 46/3*x^3 - 57x^2 + 68/3*x + 47.

The sum of the coefficients is 46/3 - 57 + 68/3 = -19.

I solved this!  By similar triangles, UV = 10.

This is not a math question. Please only ask math questions, none of us are paid. We are volunteering and none of us wants to waste time on these kinds of questions.

But, just for the sake of it, depending on the type of bear, it was either black, brown, or white.

That's not correct is it Alan ? The function is multi (double ) valued.

The motion between t = 0 and t = 3/2 is retraced between t = 3/2 and t = 3,

and these will simply cancel out if the integral is taken between t = 0 and t = 4, (or between t = 0 and t = 3).

To see what's going on, you  have to integrate between 0 and 3/2, between 3/2 and 3 and between 3 and 4.