Answer:
In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
Answer:
and 
Step-by-step explanation:
Assume that the terminal side of thetaθ passes through the point (−12,5).
In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.
Using Pythagoras theorem:




Taking square root on both sides.

In a right angled triangle




In second quadrant only sine and cosecant are positive.
and 
Answer:
0.77 or 77%
Step-by-step explanation:
Given:
Percentage of brown peanuts = 12%
Percentage of yellow peanuts = 15%
Percentage of red peanuts = 12%
Percentage of blue peanuts = 23%
Percentage of orange peanuts = 23%
Percentage of green peanuts = 15%
Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1
Probability that a randomly selected peanut M&M is not orange:
P(orange)' = 1 - P(orange)
Where,
P(orange) = 23% = 0.23
Thus,
P(orange)' = 1 - 0.23
P(orange) ' = 0.77
Probability that a randomly selected peanut is not orange = 0.77
Answer:
Negative 23 time negative 38 equals 552 because negative times negative gives positive
552 times 89 gives 49128
Step-by-step explanation: