360 /12 = 30
Each 5 minutes is 30 degrees
2*pi/12 = pi/6
each 5 minutes is pi/6 degrees
pi/3 = 2*pi/6 = 2 * pi/6 = 2* 5 minute = 10 minutes
the minute hand moves from 4 to 6
2 * pi/3 = 2 * (2*pi/6) = 4 *(pi/6) = 4 * 5 minutes = 20 minutes
The minute hand moves from 3 to 7
5 * pi/6 = 5 * 5 minutes = 25 minutes
the minute hand moves from 5 to 10
7 * pi/6 = 7 * 5 minutes = 35 minutes
the minute hand moves from 2 to 9
378. Comparing the each batch, there is a difference of 18 for each batch. So 7*18= 126, then add that to 252; you'll get 378.
(ex 198-180=18; 216-198=18; etc)
hope that helps
Answer: B 1/3
Step-by-step explanation:
For every 3x it travels 1 y so you will get 1/3 as your answer.
At 50y the line is at 10x. By the time it is at 60 y it is at 40x. This was a change in y by 10 and change in x by 30. There fore the answer is 10/30 or 1/3.
Regarding question number 47, which is what I can read well ...
Equation 4 (3x-2) ² = 36 It can be solved in the following way:
-Apply distributive property
4 (9x ²-12x +4) = 36
-We order the terms and equalize to zero
36x² -48x +16 -36 = 0
36 x ² -48x -20 = 0
The roots of this equation are
(-48 + √(48 ²-4 ×36 × -20)) / 2 ×36
and
(-48 - √(48 ²-4 × 36 ×-20)) / 2 ×36
Finally the solution is:
option C
x = -1 / 3
x = 5/3
Answer:
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