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.
15 is your answer, because 7+7=14 and its greater then 14 but less then 8+9 which = 16.
Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,

Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,

We solve the equation by elimination method by multiplying first equation by 10 and subtracting.

Thus, 15 early tickets were sold and 5 regular tickets were sold.
Answer:
see explanation
Step-by-step explanation:
Given a line joining the midpoints of 2 sides of a triangle, the midsegment
Then the midsegment is parallel to and half the measure of the third side of the triangle, thus
XY = 2KL = 2 × 42 = 84
Since J is the midpoint of XY, then
JY = 0.5XY = 0.5 × 84 = 42 and
JK = 0.5YZ = 0.5 × 76 = 38
Answer:
C. 17/20, rational
Step-by-step explanation:
.25 + 3/5
The least common denominator is 20 so
.25=1/4=5/20
3/5=12/20; therefore,
5/20 + 12/20=17/20.
17/20 is a fraction so is rational.