Answer:
(- 1/2 , √3/2)
Step-by-step explanation:
t=20π/3
t' = 20π/3 - 6π = 2π/3 (120°) ... 2nd quadrant
If we start from (1,0) of unit circle, the coordinate of terminal point (x,y)
OF/OE = - cos 60° = x / 1 = - 1/2
FE/OE = sin 60° = y/1 = √3/2
Answer:
12 and 36
Step-by-step explanation:
x+3x=48
4x=48
divide by 4
x=12
48-12=36
Answer:
<em>80.7 ft/sec</em>
Step-by-step explanation:
You need two conversion factors:
1 mile = 5280 ft, so (52780 ft)/(1 mile) = 1
1 hour = 3600 seconds, so (1 hour)/(3600 seconds) = 1
55 mi/hour * (5280 ft)/(1 mile) * (1 hour)/(3600 seconds) = 80.6666... ft/sec
Answer: 80.7 ft/sec
Answer:
B
Step-by-step explanation:
Well you can get rid of c and d since 9^2 = 81. so 74 is less than 81 so it's definitely less than 9. Now, we know it's between 8 and 9. try multiplying 8.5 x 8.5 = 72.25. So our ranges are
A) 64 - 72.25
B) 72.25 - 81.
74 falls between 72.25 - 81. So it'll be B
Answer:
8 seconds
Step-by-step explanation:
lets first start by plugging in 1024 into initial height
h(t) = -16t^2 + 1024
I would find a Greatest Common Factor (GCF) first
-16(t^2 - 64) If this is new just think that if you multiply -16 by t squared and -64 you will come back to the original equation
But now we notice that T squared -64 can be factored with the difference of perfect squared method
so we will get -16(t-8)(t+8)
So to get the answers we will set everything equal to 0
-16t =0
t =0 this is the time that the penny was thrown
t-8 = 0
t = 8 the is the time the penny hit the ground
t+8 =0
t= -8 This is an extraneous solution or a solution that doesn't make sense so we just disregard the solution.
