BuilderBoi

When is your actual birthday?

The equation is... \({2 \over 3 } \times {3 \over 4 } \times { 4 \over 5} \times \space ... = {1 \over 500} \)

Notice that the 3s and 4s cancel out. The only number that will not get canceled is the denominator of the last fraction and the numerator of the first fraction (2).

This means: \({2 \over x} ={ 1 \over 500}\) and \(x = 1000\). 

Using the infor given, the final fraction must be \(999 \over 1,000\), meaning the sum is \(999 + 1000 =\color{brown}\boxed{1,999}\)

https://web2.0calc.com/questions/geometry_85849

Height is \(\sin(34) = {x \over 18}\)

Width is \(\cos(34) = {x \over 18}\)

Using the equation:

 \(\sin(34) = {x \over 18}\)

\(18 \times \sin(34) = x\)

Evaluating this, we find the height is \(\color{brown} \boxed{10.06547226}\)

Now, doing the same thing, but with \(\cos(34)\) instead, we find the width is \(\color{brown}\boxed{14.92267631}\)

Ask me if you have any questions!

In a function, every input must have exactly 1 output. For example,f(x) = x + 1 is a function, because every value of x has exactly 1 value of y. Using this, you can find which ones qualify. 

8 options for the first, 8 for the second, 8 for the third, 8 for the fourth, and 4 for the fifth because it has to be odd. 

So, there are 8 x 8 x 8 x 8 x 4 options. 

0.6666666666x - 3 = 0.4

Write as equation: 

\(3 \times 8 + 9 \times 2 + 9x = 8(10+x)\)

\(42+ 9x=80+8x\)

\(42+x=80\)

\(x =\color{brown}\boxed{ 38}\)

No its not...

https://web2.0calc.com/questions/please-help_15927