To find a cofunction with the same value as the expression csc 52*, you would use the formula like this. csc (x) = sec (90-x). So if you use csc(52) that equals sec(90-52). This in turn, equals sec(38). So the answer is B.
I’m tired I’ve so much homework to complete and a long day of school :(
Answer: The correct answer is option C: Both events are equally likely to occur
Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;
P(>3) = Number of required outcomes/Number of possible outcomes
P(>3) = 3/6
P(>3) = 1/2 or 0.5
Therefore the probability of rolling a number greater than three is 0.5 or 50%.
For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;
P(Head) = Number of required outcomes/Number of all possible outcomes
P(Head) = 1/2
P(Head) = 0.5
Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)
From these results we can conclude that in both experiments , both events are equally likely to occur.
Answer:
The time it would take them to fill 750 gallons
= 200 minutes or 3 hours 20 minutes
Step-by-step explanation:
Step 1 :
We calculate the rate at which the hoses fill for Andre and His neighbor
For Andre
The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.
The rate is calculated as:
5 gallon/2 minutes
= 2.5 gallons/minute
For His neighbor
The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8
minutes.
= 10 gallon/8 minutes
= 1.25 gallon/minute
Step 2
Hence:
If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =
2.5 + 1.25 = 3.75 gallons per minute.
Step 3
The time it would take them to fill 750 gallons =
750 gallons ÷ 3.75 gallons per minute
= 200 minutes
= 3 hours 20 minutes
Answer:
First find the circumference by pi r squared.
