All Answers 356004 Answers

Sorry, but your answer is wrong, maybe you made a mistake when you solved for a.

x = r · cos(theta)

y = r · sin(theta)

For your problem,  r = 3·sqrt(2)     and    theta  =  -pi/6

Enter those values into the formulas for  x  and  y  and use a calculator, rounding your answer.

121 = 116 e^kt      t = 9 years    cal culate k

121 = 116 e^9k

k=.0046889

p = 116 e^{.004688928 t}      t=14 years from   1993

p = 124 million

n^2-9n+18 < 0   this is a bowl shaped parabola (because the leading n^2 coefficient is POSITIVE)

                              between the zeroes it will be negative....factor it (you can use the quadratic formula if you cannot do it in your head)

                                find the biggest 'n' that will make it negative (but not EQUAL zero)

maximum will occur at    t =  - b/2a          a = -25    b = 75    c = 24      I think you can now figure it out !

Find the centers of the bottom-left circle and the bottom-right circles.

Draw a line segment that connects these two points. This line segment will go through the common point of tangency of the circles.

Since this is the length of two radii, it will have a length of 4.

Now, draw line segments from these two centers perpendicular to the base side of the triangle.

The distance between the points of intersection where these two radii hit the base will be 4.

Now, draw the line segment from the center of the bottom-left circle to the bottom-left corner of the triangle.

This line segement, along with the perpendicular radius drawn to the bottom side of the triangle, will help determine a right triangle.

Since the bottom-left corner of the triangle has 60^o, the triangle is a 30^o - 60^o - 90^o triangle whose short side has value 2.

Therefore, the length along the bottom side of this triangle is 2·sqrt(2).

From this, you can determine the perimeter of the triangle.

I'll start ya off...then see if you can find the answer

volume of a cone =     1/3  *  pi r^2 h

    you can calculate h with this since you are given all of the other parameters

then:

slant height of cone =  sqrt (r^2 + h^2)      (this is just applying the pythagorean theorem)

apples cost   2.35

oranges cost .45 x     where x is the number of oranges

2.35      +  .45 x  = 7.75     solve for x    the number of oranges..... 

21 people represent 45.7 %    of the total people surveyed....

.457 x == 21    solve for 'x' 

....not really here (nor is it the purpose of this forum) to 'give you the answer'   (though this time I did)...but rather to give you methods to solve the problem for YOURSELF.....so at least TRY !    

I am not here to give you the answer, I am here to help you learn.

what is the answer

That is much better. And no the answer is not 6.

\(x(3x-4) \le \frac{(6x^2-3x+5)}{10}\\ 10x(3x-4) \le 6x^2-3x+5\\ \)

Now you have to expand the left-hand side

then

take all the terms to the left side so that it is   <=0

then

Factorise the left side.

Now if you let the left side equal y

then y must be less than or equal to 0

The left side, when you put it equal to y, will actually be a concave up parabola.

Find the roots of the parabola.

Any integers between the roots will be solutions to this problem.   :)

Give it a go 

confusion

x(3x-4) <= (6x^2-3x+5)/10

30x^2 -40x  <= 6x^2 - 3x +5

24x^2-37x-5 <=0   this is a bowl shaped parabola with zeroes (via quadratic formula) at 1.64 and -.101   

                                  it is negative in between the zeroes..

                                     .this includes the integers      0 and 1

Well yes but actually no

I need a correct answer

Present it properly, by editing it, and I will think about helping you.  But you need to be quick, 

Just work on the LHS it is actually not particularly difficult.

you will need to know the expansion for \(tan(2\theta)\) and from that   \(tan(4\theta) \)

The rest will just fall out.  Give it a go. :)

180 - 40 = 120

120 : 20 = 6

A cone with a radius of 3 meters has a volume of 72 cubic meters. A pyramid with a square base has the same height and the same volume as the cone. What is the length of one side of the pyramid's base? Round your answer to the nearest tenth.

Didn't this question go through a few days ago ?

I have found out a very good online factorial calculator. You can use this factorial calculator to solve your factorial problems.

a=1; b=45;c=lcm(a, b); d=gcd(a, b);if(lcm(a,b)/gcd(a,b)==33, goto5, goto7);print"LCM of",a,"and", b,"=",c;print"GCD of",a,"and", b,"=",d; a++;if(a<200, goto2, 0)

LCM of 165 and 45 = 495
GCD of 165 and 45 = 15
 

I am not so sure that period and midline are terms that can be used for this.

As for reflection.... reflection across what line?

Here is the graph