Answer: 30° and 330°
<u>Step-by-step explanation:</u>
sec θ = 
sec θ = 
=
cos θ = 
cos θ = 
cos θ = 
cos θ = 
Look at the Unit Circle to see that cos = at 30° and 330° ( which is equivalent to π/6 and 11π/6)
A) 75heartbeats per min
B) $9.35 per ticket
C) 2.25 per golf ball
D) $9.75 per hour
Answer:
14 home runs
Step-by-step explanation:
This is basically a subtraction problem.
So the maximum number is 60 home runs in 1927.
The minimum number is 46 home runs in 1929.
So you subtract these 2 values.
60 - 46
= 14
So the maximum number exceed the minimum number with 14 home runs as the difference.
To find the probability of drawing certain colour of balls, we first need to find the total number of balls:
5 + 7 +5 = 17
<u>For the number of red balls that need to be added</u>
The original probability of drawing a red ball:
red ball/ total number of balls
= 5/17
To find the number of balls required, we can set an equation.
Let the number of red balls that need to be added be x.
5+x / 17+x = 5/6
(5+x) x 6 = (17+ x) x5
30 + 6x = 85 + 5x
6x - 5x = 85 - 30
x = 55
Therefore, <u>55</u> red balls need to be added.
<u>For the number of black balls that need to be added</u>
The original probability of drawing a white ball:
white ball/ total number of balls
=5/17
To find the probability required, we can set an equation.
Let the number of black balls that need to be added be y.
5/ 17 + y = 1/6
5 x 6 = 17 + y
30 = 17 + y
30 - 17 = y
y = 13
Therefore, <u>13</u> black balls need to be added.
Hope it helps!
