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how do you delete an answer???

\(\sin(55)=\frac{x}{12}\\ x=12\cdot \sin(55) \approx \boxed{9.8 ft}\)

Image for reference:

I think the son is currently 6 years old. You can plug this answer in and solve the question backwards.

By the way I make videos, and I would really appreciate it you if you chekced my YouTube channel out. It is called Nyan Cat Gaming, but you can just search up Nyan Cat Gaming Valerie. TYSM!!!!

cosθ=−2/ √3, where π≤θ≤3π/ 2

tanβ=4/ 3, where 0≤β≤π/ 2

Hello lovesosa12!

\(cosθ=−2/ √3, where\ π≤θ≤3π/ 2\)

θ cannot be determined because

\(-1\leq cos\ θ\leq 1\)  and  \(-\frac{2}{\sqrt{3}}<1\)

tanβ=4/ 3, where 0≤β≤π/ 2

\(\beta=arctan(4/3)\)

\(\beta = 53.13\ deg\)

  !

x^2  +  48x +   ???

Take 1/2 of 48=   24

Square this  =  576

x^2  + 48x  +  576     =     ( x + 24)^2

https://web2.0calc.com/questions/pls-help_118

cosx

________    =    secx - tan x 

1 + sin x

                   =       1/cosx     -  sin x/ cosx

                   =       ( 1  - sin x) / cos x

                   =      cos x (1  -sin x)  /  cos^2x

                   =    cosx ( 1 - sinx) /  ( 1 -sin^2 x) 

                   =     cosx (1 - sin x)  / [ (1-sin x) ( 1 + sinx ) ]

                  =      cosx /  ( 1 + sin x)

https://web2.0calc.com/questions/help-asap_51751

Hi Guest!

Vieta's Formula

To solve these problems we're going to need the vieta's formula. 

Here's a link to them if you need them: 

https://artofproblemsolving.com/wiki/index.php/Vieta%27s_Formulas

Problem 1

1/a + 1/b = (a+b)/(a*b)

a + b = 4/5 (Veita's)

a * b = 11/5 (Veita's)

(4/5) * (11/5) = 44/25

Our answer is 44/25

Problem 2

u/v + v/u = (u^2+v^2)/(u*v)

u^2+v^2 = (u+v)^2 - 2uv

u + v = 7/3

u * v = -7/5

u^2 + v^2 = (7/3)^2 - -14/5

u^2 + v^2 = 49/9 + 14/5

u^2 + v^2 = 371/45

u/v + v/u = (371/45)/(-7/5)

u/v + v/u = -53/9

Our answer is -53/9

*Please note that for the second problem, simply solving for the roots by factoring may be a better method. 

I hope this helped. :))))

=^._.^=

A line passes through the points (-3,-5) and (-6,1). The equation of this line can be expressed in the form Ax + By = C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A + B+ C.

Hello Guest!

\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+5}{-6+3}\)

\(m=-2\)

\(\color{blue}y=m(x-x_1)+y_1\\ y=-2(x+3)-5=-2x-6-5\)

\(y=-2x-11\)

\(2x+y=-11\)

\(Ax+By=C \)

\(A+B+C=2+1-11\)

\(A+B+C=-8\)

  !

Vieta's formulas:

r + s = 4

rs = 12

(r + s)^2 = 16

r^2 + 2rs + s^2 = 16

r^2 + 24 + s^2 = 16

r^2 + s^2 = -8

Alan's speed is 50 meters per minute.

4x-3x=18

x=18

Adam - 72

Sally - 54

All the solutions are

a = 0: x^2 = x*x

a = 40: x^2 + 40x + 400 = (x + 20)(x + 20)

a = 45: x^2 + 45x + 450 = (x + 15)(x + 30)

a = 72: x^2 + 72x + 720 = (x + 12)(x + 60)

0 + 40 + 45 + 72 = 157

x must be 1 (up to mod 19) and y must be 2 (mod 19).  Therefore, x + 9y = 1 + 2*9 = 19 = 0 (mod 19).

in this case, the formula is the # of 3 digit palindromes / the # of 3 digit numbers. By bashing we get 90/900 and that can be simplified to 1/10
 

Try using the formula for the area of a trapezoid.

The correct ordering is "E,B,D,C,A".

You are completely out of your depth KitSoundwave

This is not written in Latex and LaTex works just fine.

What you have guessed makes no sense because you have no idea what you are talking about.

I like your enthusiasm but please stay within your knowledge base.

no its 18√3 + 18, btw this is an AHSME problem

The perimeter works out to 12 + 18*sqrt(3).

Rectangle Rect with 18 length is split into 2.775 and 15.225 (vertex where quad QUAD touches it on horizontal line)

Rectangle Rect with 13 breadth is split into 6.5 and 6.5 (vertex where quad QUAD touches it on vertical lines)

DE + DF = 12 + 2*sqrt(3).