Driving Distance 459 miles / 739 km
<u>Driving Time 6 hours, 37 minutes
</u>
Cost of Driving $51.54
Stopping Points Tampa, FL
SO YOUR BEST WOULD BE <u><em>D</em></u>.
Well since it's a prediction, you can see that its a 6.2 to 10 ratio. or 62%. So if you get any KPH number, times it by 62% or times it by 0.62. To by MPH into KPH you multiply by roughly 1.6
Therfore A = 46.5
B = 32
The equation of the sphere is
.. (x -8)^2 +(y +7)^2 +z^2 = 10^2
Then the bottom hemisphere has the equation
.. z = -√(100 -(x -8)^2 -(y +7)^2)
The frequency for rolling a 3 would be 5 over 100
If A is QIV, then 3π/2 ≤A≤2π;
we have to find out in what quadrant is A/2
(3π/2)/2≤A/2≤(2π)/2 ⇒ 3π/4≤A/2≤π
We can see that A/2 will be in QIII; therefore the sec (A/2) will be negative (-).
1) we have to calculate cos (A/2)
Cos (A/2)=⁺₋√[(1+cos A/2)/2]
We choose this formula: Cos (A/2)= -√[(1+cos A/2)/2], because sec A/2 is in quadrant Q III, and the secant (sec A/2=1/cos A/2) in this quadrant is negative.
Cos (A/2)=-√[(1+cos A)/2]=-√[(1+(1/2)]/2=-√(3/4)=-(√3)/2.
2) we compute the sec (A/2)
Data:
cos (A/2)=-(√3)/2
sec (A/2)=1/cos (A/2)
sec (A/2)=1/(-(√3)/2)=-2/√3=-(2√3)/3
Answer: sec (A/2)=-(2√3)/3