Step-by-step explanation:
sin(x) = M, M > 0
= sin(x - π)
= sin(x)cos(π) - cos(x)sin(π)
= sin(x).(-1) - cos(x).0
= -sin(x) - 0
= -sin(x)
= -M
Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:
The line given to us has equation; 
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have 
.
We plug in the slope and the point into the point-slope formula to obain;
The required equation is:
Answer:
30
Step-by-step explanation:
To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is or .
Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply by 40.
Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.
1600m = 1600 ÷ 1000 = 1.6 km
Answer: 1.6 km
1.5 inches. You take 378 and divide it by 250
