Answer: The answer is the first choice.
Explanation:
Because you must find the sin of the x values in the table.
Sin(7pi/6) = -1/2
Sin(5pi/4) = -sqrt 2/2
Sin(4pi/3) = -sqrt 3/2
Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism = 
= 
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches
All you have to do for this is take your inches (18 7/10 or 18.7) and divide it by the number of hours (12) which makes 1.56in per hour.
1/42
First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.
Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.
Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.
L = 4d + 54
after crew worked 33 days...d = 33
L = 4(33) + 54
L = 132 + 54
L = 186...so after 33 days, the crew made a road that measures 186 miles
