Answer: 119°
Step-by-step explanation:
From the positive y-axis, all angles are measured clockwise
PR = PQ + QR = 5[150°] + 3[60°]
X = 5*sin150 + 3*sin60 = <u>5.1</u>
Y = 5*Cos150 + 3*Cos60 = <u>-2.83</u>
TanA = X/Y
A = -61° = 61° East of South = 119° Clockwise
Therefore, the bearing of R from P is 119°
Since there is a 70% chance of making $12,000 so have that:
.70 × 12000 = 8400
Also, we have a 10% chance of breaking even, so we also have that:
.10 × 0 = 0
Finally, we have a 20% chance of losing $7400 so we also have that:
.20 × 7400 = 1480
Thus, putting it all together we have:
.70(12000) + .10(0) + .20(7400) = 8400 + 0 + 1480 = 9880
Therefore, the expected value is:
$9880
The formula for the surface area of a cone is SA=(pi)(r^2)+(pi)(r)(l)
L is the slant height of the cone.
Because pi is in the answer choices, there is no need to multiply either by pi so the new formula becomes
SA=r^2+(r)(l)
Now you just plug in what you know
Sa=(8^2) + (8)(15)
Sa=64+120
Sa=184(pi)
*dont forget to put the pi back in since you took it out in the beginning of the equation*
Your answer is A.
Hope this helps :)
6.4 x 10 cubed aka the 3 is on the top right of the 10
