Answer:
x=7 x=-7
Step-by-step explanation:
Solution is attached.
Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
Answer:
143 degrees
Step-by-step explanation:
Triangle EDF is a right triangle and we know that angle 1 is equal to 53 degrees. So, angle 2 is equal to 180-90-53 = 37 degrees. Now that we want to find angle 3, we subtract the measure of angle 2 (which is 37) from 180. That gives us 143 degrees.
Answer:
rotation
Step-by-step explanation:
"Isometric" means all measures stay the same.
- dilation changes all lengths
- <em>rotation changes no measures -- an isometric transformation</em>
- side length change obviously changes the length of a side
- angle change obviously changes the measure of an angle
Based on the maximum taxable amount for social security in 2009, and the social security tax rate, the social security tax that Larry paid was $7,347.
<h3>How much did Larry pay in social security taxes?</h3>
The total amount paid by Larry as Social security tax can be found as;
= Maximum amount allowable for social security tax x Social security tax rate
The social security tax rate was 6.2% not 62.2%.
The social security tax was therefore:
= 118,500 x 6.2%
= $7,347
Find out more on social security taxes at brainly.com/question/13255138
#SPJ1
