Answer:
y =
Step-by-step explanation:
using the addition formula for sine
sin(x + y) = sinxcosy + cosxsiny
then
sinxcosy + cosxsiny = sinx + cosx
for the 2 sides to be equal , then
cosy = and siny =
then
y = ( ) =
and
y = ( ) =
thus y =
Answer:
2a +2b +4
Step-by-step explanation:
The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...
(3a +8) +(5a +b) +x = (10a +3b +12)
Subtracting from the equation everything on the left side that is not x, we get ...
x = (10a +3b +12) -(3a +8) -(5a +b)
= a(10 -3 -5) +b(3 -1) +(12 -8)
= 2a +2b +4
The length of the third side is 2a +2b +4.
Answer: 4.86
Step-by-step explanation: Since <em>n</em> is being divide by 0.9, to get <em>n</em> by itself, we need to multiply by 0.9 on both sides of the equation.
On the right side of the equation, the 0.9's cancel and we have <em>n</em>. On the left side of the equation, we have 0.9 × 5.4 which is 4.86.
Therefore, 4.86 = n.