Decide whether or not the points are the vertices of a right triangle.(6, 3), (12, 5), (11, 0)
A. Yes
B. No
Answer: B
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Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.A = 26°, B = 51°, c = 30
A. C = 103°, a = 13.5, b = 23.9 B. C = 97°, a = 13.2, b = 23.5 C. C = 103°, a = 23.9, b = 13.5 D. C = 103°, a = 66.7, b = 37.6
Solve the problem.A merchant has coffee worth $40 a pound that she wishes to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $40 coffee should be used?
A. 30 lb B. 60 lb C. 15 lb D. 120 lb
We give an expression describing the number that corresponds to the natural number n. Use this expression to describe a one-to-one correspondence between the natural numbers and one of its subsets.4n - 1
A.
| 1, | 2, | 3, | 4, 5, ..., | n, ... |
| ? | ? | ? | ? ? ? |
| 2, 6, 10, | 14, 18 ..., | 4n - 1, ... |
B.
| 1, | 2, | 3, | 4, 5, ..., | n, ... |
| ? | ? | ? | ? ? ? |
| 1, 5, 9, 13, 17 ..., | 4n - 1 , ... |
C.
| 1, | 2, | 3, | 4, 5, ..., | n, ... |
| ? | ? | ? | ? ? | ? |
| 3, 7, 11, 15, 19 ..., | 4n, ... |
D.
| 1, | 2, | 3, | 4, 5, ..., | n, ... |
| ? | ? | ? | ? ? ? |
| 3, 7, 11, 15, 19 ..., | 4n - 1, ... |
Solve problems using a calculator.The number of therms has been established on a customer's gas bill, and the monthly bill is calculated as follows: Item ChargeCustomer charge $0.16326 per dayRegulatory fee $0.05267 per dayGas usage $0.89251 per therm for the first 48 therms $1.07352 per therm for each therm over 48 thermsSuppose that during a 31-day month a customer used 111 therms. What would the customer's total bill be? (Round to the nearest cent, if necessary.)
A. $118.05 B. $117.17 C. $118.94 D. $117.39