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."
An asexual structure where spores develop is Sporangium
Answer:
Perimeter = 17a
Area = 30 square meters
Step-by-step explanation:
Perimeter = 2b + 8 = 10b + 5 + a = 15ab + 2a - b = 17a
Area = 2 + 8 = 10 + 2 = 12 × 5 = 60 simplify
I honestly don't know if this is correct, I hope it is
Answer:
6x-24
Step-by-step explanation:
First, we must add x-12 to 2x. We will get 3x-12. Now, to get the perimeter, we must multiply that expression by 2. The answer is 6x-24.
In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:
Now, as can be clearly seen, to find y we will use the first two ratios as:
In a similar manner, to find the value of x we can use the last two ratios:
After cross multiplication we get:
Which can be simplified as:
Thus, 
Therefore, the required answer is:
x=9.5 and y=8.8
