Answer:
December
Step-by-step explanation:
December: acoustic/ electric =10/12 = 5/6
January : 13/16
Get a common denominator of 48
5/6 *8/8 = 40/48 for December
13/16 * 3/3 =39/48 for January
December has a higher ratio
Answer: 120 students
Explanation:
Let x be the number of scopes
Let a be the number of student at school
1x = 5 students
But 5x = a
1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.
=> (x + 6) = 4 students
=> 4(x + 6) = a
Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24
So, there are 24 scopes.
Plug x in both equation and compare:
5x = a
5(24) = a
120 = a
4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a
Therefore, the students at the school are 120
A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.
Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm
Area of each triangle = 9/2(16.79) = 75.57 cm^2
Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2
All in all there are 26 pieces of clothing available. The probability of randomly selecting a blue piece is equal to 18/26. Also, the probability of picking up a pants is 14/26. There are 10 blue pants and the probability of picking up one of those is 10/26. The answer can be computed as follows:
P(A or B) = (18/26) + (14/26) - (10/26) = 22/26
P(A or B) = 22/26 or 11/13
