All Answers 358120 Answers

I'd like to point out that if the square root is writen into the question then only the positive answer counts.

But if you put it there as a part of your  solution it can be pos or neg

for example 

$$\sqrt4=2$$

but if

$$x^2=4\quad then\\\\
x=\pm \sqrt4\\\\
x=\pm2$$

invers cos is the same as arc cos

So it is

acos(9/11)=

You can do this on the site calc - It is one the home page.  If you have a problems let us know and we'll explain some more.   

Do you mean how do you sub a root back into an equation to check that the equation is correct?

sub stands for substitute

do you want to give us an actual example?

$${{\mathtt{594\,750}}}^{{\mathtt{9\,723}}} = \infty$$

It is not really infinity it is just a number that is so incomprehensively huge.

solve 4sin^2 x-4sinx-3=0 for 0<=x<=360

Let y=sinx and solve for y

$$\begin{array}{rll}
4y^2-4y-3&=&0\\\\
4y^2+2y-6y-3&=&0\\\\
2y(2y+1)-3(2y+1)&=&0\\\\
(2y-3)(2y+1)&=&0\\\\
\end{array}$$

$$\begin{array}{rllllrll}
so\qquad y&=&3/2\quad &or&\quad y&=&-1/2\\\\
sinx&=&3/2\quad &or&\quad sinx&=&-1/2\\\\
No\:\: solution&& &or&\quad sinx&=&-1/2\\\\
\end{array}$$

sinx is negative so x must be in the 3rd or forth quadrant

x=180+30=210 degrees  or   x=360-30=330degrees

x=210 degrees of 330 degrees

I have not checked these answers.  YOu can check by plugging the numbers back into the formula and checking that they work.

If you have questions, feel free to ask.   

I remember the question is:

solve for all values of "x" using whatever method

Thanks, NinjaDevo:)

What is 16 divided by 4 plus 2 times 3 plus 2 minus 8 divided by 2?

We always perform any multiplications/divisions as we encounter them from left to right before we perform any additions/subtractions.

So we have

16/4 + 2*3 + 2 - 8/2  =

4 + 6 + 2 - 4 =

6 + 2  =

8  

(3y^2-5x^2+4)-(2x-8+4y^2)

Distributing the negative across the terms in the second set of parethesis, we have:

3y^2 - 5x^2 + 4 -  2x + 8 - 4y^2   Combine like terms

3y^2 - 4y^2 - 5x^2 - 2x + 4 + 8  =

- y^2 - 5x^2 - 2x + 12

What confused you??

Thank you! This was aprreciated

Welcome to the forum!

There is a calculator built into this site, so you can figure questions like this out by simply putting it in the calculator! You can find it here: 

If your wondering how to figure this out, you can just do it with long multiplication and long division.

 3 6 
x 8 4 
--------- 
 1 4 4
2 8 8 0
--------
3 0 2 4




 3 7 8
 _________
8)3 0 2 4
 -2 4
-------
 6 2
 -5 6
--------
 6 4
 -6 4
------------
 0



The answer is 378
 

It's still confusing

Given the area ABC=7.52m². Find a, when m∠B=40° and c=6m.

We have that

A = (1/2)(a)(c)sinB

7.52 = (1/2)(a)(6)sin40

7.52 = 3(a)sin40

a = 7.52/(3sin40) ≈ 3.9m

Shrek is the antithesis of love and life and anything mildly enjoyable.

In other words, no.

Nice explanation kitty.

I gave you a thumbs up. :)

64% is the same thing as

$${\frac{{\mathtt{64}}}{{\mathtt{100}}}}$$

By dividing the top and bottom by 4, this can be reduced to

$${\frac{{\mathtt{16}}}{{\mathtt{25}}}}$$

If it helps you, think of this as a word problem.

A store has 100 pencils in stock. You buy 64 pencils from the store. You bought 64 out of the 100 pencils.(64/100)...or you could also say you bought 64% of the pencils.

thank you.

Cosine rule,

a^2 = b^2 + c^2 - 2bc*cos(A).

Multiply the first equation by x₁^(1/2), and the second by x₂^(2/3).

Move the negative terms to the other side in each equation, and then align them so that both x₁ terms are on the same side, (the lhs say, the x₂ terms on the rhs).

The product of the two lhs's will equal the product of the two rhs's, do this and simplify.

That should get you 3x₂p₂ = 2x₁p₁

Now solve in conjunction with the third equation.

5(1/4)-2(1/8)-(1/6)

First of all I'm going to assume that you mean 5 times (1/4) minus 2 times (1/8) minus (1/6), with no mixed numbers.

5* (1/4) - 2(1/8) - (1/6)

One of the ways to go about solving this problem would be to directly multiply out the terms first, instead of making the denominators of the fractions the same.

So:

$${\mathtt{5}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{4}}}}\right) = {\frac{{\mathtt{5}}}{{\mathtt{4}}}}$$

$${\mathtt{2}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{8}}}}\right) = {\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$

And  $${\frac{{\mathtt{5}}}{{\mathtt{4}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}} = {\frac{{\mathtt{4}}}{{\mathtt{4}}}}$$ = 1

Now 1 is the same as 6/6

So:   $${\frac{{\mathtt{6}}}{{\mathtt{6}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{6}}}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}}$$

cot(900) = cot(5pi) [from degrees to radians]

cot(5pi) = cot(4pi+pi) = cot(pi) = cos(pi)/sin(pi) = -1/0 

Therefore cot(900) is undefined

(If you want to keep it in degrees

cot(900) = cot(720+180) = cot(360+360+180) = cot(180) = cos(180)/sin(180) = -1/0)

Reinout 

This image is off course intended as a joke. If you want to succeed in your studies, you will have to do your homework at some point.

I feel seriously offended by the person that wrote 'just die', even though it was not directed to me. The fact that you use such terms so lightly digusts me. I hope you understand that this is one of the dumbest posts I've ever seen on this forum. If you think you have any social intelligence, I hope you can at least show some of it by writing an apology for that.

Reinout

You use the fact that the sine of an angle is opposite over hypotenuse here.

opposite = 618 - 9 = 609m

so sin(76°) = 609/h

h = 609/sin(76°)

$${\mathtt{h}} = {\frac{{\mathtt{609}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{76}}^\circ\right)}}} \Rightarrow {\mathtt{h}} = {\mathtt{627.643\: \!700\: \!274\: \!085\: \!654\: \!1}}$$

so h = 627.64m to the nearest hundredth of a meter.

This is ratio is saying, "for every 73 adult fans, there is 7 children fans."

This makes a "group" of 80 fans.

To figure out how many different "groups" of fans there are, we can divide the total fans by how many there are in one group.

1200 ÷ 80 = 15

This means there are 15 different groups are fans. The question was to figure out how many children fans there are. We know there are 7 children fans in a group, so multiply 7 by 15 to find the total children fans.

7*15=105.

There are 105 children fans.