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:
0.156
Step-by-step explanation:
15 3/5%=(15+ 0.6)/100=15.6/100=0.156
Answer:
See below.
Step-by-step explanation:
1a)
<u>Angles:</u>
<u>Add:</u>
<u>Subtract:</u>
Angle a: 132.
1b)
To get angle h above 180°, <u>We need to add h + 164:</u>
h = 110.
This is how to get h over 180°.
Step-by-step explanation:
Given.
Take the second equation and subtract 2y to both sides.
Substitute x into the first equation and simplify.
Invert.
Substitute Y into your second equation.
Add -6 to both sides.
Answer:
(6, -3)
First, distribute the (1/2) into (4x+12) by multiplying them.
The equation becomes:
2x + 6 + 5x = 30
On the left side, combine “like terms” through addition.
7x + 6 = 30
Subtract 6 from both sides:
7x = 24
Finally, get x alone by dividing both sides by 7:
x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.
