Answer: 3/8
Step-by-step explanation: 7/8 - 1/2= (7*2)-(1*8)
--------------- = 6/16 6 divided by 2 and then 16 divided by 2= 3/8
^8*2
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
PC * PA = PB^2
(PA+AC) * PA = PB^2
(4+32) * 4 = PB^2
36*4 = PB^2
144 = PB^2
Taking the square root of each side
sqrt(144) = sqrt(PB^2)
12= PB
Answer:
x = -8, -2, and 1
Step-by-step explanation:
The zeros of a function are another name for its x-intercepts. To find them, graph the function and examine its behavior near the x-axis. In the attached picture you can see that this function has the zeros, x = -8, -2, and 1.