Add all the times together:
10 + 25 + 15 = 50 minutes total.
For the ratio divide the time for weights by total time:
25/50 which reduces to 1/2
The ratio is 1/2
Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
Answer:
69%
Step-by-step explanation:
Overall grade = 0.35*minor grade + 0.65*major grade
major grade: 0.65*61 = 39.65
minor grade: 0.35*84 = 29.4
total: 39.65+29.4 = 69.05
Rounded = 69%
Answer:
Step-by-step explanation:
–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20). I chose this configuration because 0.75 * 20 is 15. Next, evaluate -5(15). This is -75. This matches Answer D.
Answer is -6(see photo for step by step):
