Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
I'm pretty sure it would be 4 5/6 - 3 2/3 = 1 1/6.
Answer:
It should be $32 - $22.50.
Step-by-step explanation:
This is because we're trying to find out the amount she received. So we will subtract the amount she already has from how much she now has to figure out how much she received. 32 - 22.50 = 9.50.
Hope this helps:)!
Answer:
38% probability that a randomly selected student is female or a physics major.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
Physics majors or female
10 physics majors(of which 3 are female).
12 female(the 3 female physics majors have already been counted, so we count 9)

Total outcomes:
50 students, so 
Probability

38% probability that a randomly selected student is female or a physics major.
All except for the third option are correct