Answer:

Step-by-step explanation:
Given

Required
Find 

In trigonometry:
If sin(A) = cos(B), then

So, we have:

Collect Like Terms



Answer:
Is a solution
Step-by-step explanation:
Just do the division 
Answer:
Part 1) The third whole number is 44
Part 2) The third whole number is 40
Part 3) The third whole number is 25
Step-by-step explanation:
we know that
The Pythagoras theorem states that
In a right triangle

where
c is the greater length side
a and b are the legs
Case 1) we have
33,55
<em>step a</em>
Let

Find the value of c



------> is not a whole number
<em>step b</em>
Let

Find the value of b



Case 2) we have
42,58
<em>step a</em>
Let

Find the value of c



------> is not a whole number
<em>step b</em>
Let

Find the value of b



Case 3) we have
60,65
<em>step a</em>
Let

Find the value of c



------> is not a whole number
<em>step b</em>
Let

Find the value of b



In similar triangles, the ratios of corresponding sides are equal.
This means
y/6=5/(4+5)
Cross multiply
y=5*6/(4+5)=30/9=10/3 (or 3 1/3)
Answer:
2x^2 -x +1 = 0
Step-by-step explanation:
For roots α and β, the original equation can be factored as ...
f(x) = 2(x -α)(x -β)
If we add 1 to each of those roots, the factors become ...
g(x) = 2(x -(α+1))(x -(β+1))
This can be rearranged to be ...
g(x) = 2((x -1) -α)((x -1) -β)
That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.
2(x -1)² +3(x -1) +2 = 0
2x^2 -x +1 = 0