Please use soh cah toa to solve this for me. Please help

3.1 cm

Step-by-step explanation:

In this problem, we are given an angle and its opposite as well as the hypotenuse. So, sine should be used to find the missing side because the sine function is opposite over the hypotenuse. Therefore, the function to find the missing side would be, . Then, to solve, isolate the variable by multiplying both sides by 4. This equals . Finally, enter this into a calculator to get the answer, x=3.1.

B. 12 inches
The perimeter of a rectangular geometry is  2 * ( l + b )
where,  l is the length
and      b is the other dimension of rectangle
let the given dimension be 8 inches. We can formulate an equation from given information,  
     2 * ( 8 + b ) = 40
=> 8 + b =  40/2 = 20
=> b = 20 - 8 = 12
therefore, other dimension is 12 inches.