Answer:
Step-by-step explanation:
Hello there!
We can solve for x using law of sines
As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)
So we can use this equation to solve for x
Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)
we're left with
assuming we have to round the answer would be 33.18 or 33.2
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
The square root of a number is multiplying that number by its self so like 2² which is 2 squared. the answer would be 2 x 2 = 6 hope this helps!
Answer:
18 Minutes
Step-by-step explanation:
Simon and sophie each do a fraction of the job per minute like this:
-Simon does 
per minute (if we multiply this by 30 we have the completed job)
-Sophie does 
of the job per minute (again if we multiply this by 45 we have the completed job)
We will add this two to know how much of the job they do together in a minute:
They will do 
of the job per minute.
So the total time will be when they do 
, we can put this in one equation like this:
where x is the total times we need to do of the job to complete it. We solve for x:
