You draw the reference angle of 45° but clockwise. The exact value of sin(-345°) is 1/√2.
Answer:
230
Step-by-step explanation:
12 sections total
5 red, 4 green, the rest black
12-5-4 = 3 sections are black
3/12 = 1/4 of the sections are black
1/4 represents the probability of landing on black for one spin
(1/4)*921 = 230.25 which rounds to 230
We expect to land on a black section about 230 times out of 921 times total.
Answer:
3
Step-by-step explanation:
Answer:
there will be 8 boxes filled and 7 extras books
Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then

Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so

You get the system of two inequalities:

The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.