Answer: x = 13.4
Step-by-step explanation:
1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.
2. Using Laws of Sine, plug in the known elements of the triangle:
(16) / (sin(90)) = (x) / (sin(57))
3. Cross multiply, this will leave 16sin(57) = xsin(90)
4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))
5. Plug this into a calculator and your final answer should be 13.4
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
Answer:
$114.80
Step-by-step explanation:
Multiply 18% and 140 to find the drop price.
.18 x 140= $25.20 now subtr. this from the original price
$140.00-$25.20=$114.80 is the sale price
