Provide an appropriate response.When is the law of sines or the law of cosines required for finding the missing parts of a triangle?
What will be an ideal response?
When the triangle is not a right triangle.
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Insert <, >, or = between the given expressions to obtain a true statement.tan 57° tan 155°
A. < B. = C. >
Construct a truth table for the statement.(p ? ~t) ? s
A. 
| T | T | T | F |
T F T F
T F F F
F T T F
F T F T
F F T T
F F F T
B.
| T | T | T | F |
T F T T
T F F F
F T T F
F T F F
F F T F
F F F F
Find the probability.Two dice are rolled. Find the probability that the score on the dice is an even number.
A. 
B. 
C. 
D. 
Solve the problem.Given an algae population in a certain pond, x (in millions), f(x) models the frog population in the pond (in thousands). (i) Use the graph of f to estimate the number of algae in the pond when there are 29 thousand frogs in the pond; (ii) Estimate f(x) at 2, 3, 5, 6 and 7; (iii) Use regression and the points you estimated to find a quartic polynomial function f that models the data points; (iv) Use f(x) to solve part (i) either graphically or numerically. 
A. (i) about 1 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 + 20.02x2 + 55.93x - 46.00;
(iv) x ? 1.1 million algae when f(x) = 29 thousand frogs
B. (i) about 1 million
(ii) 
(iii) f(x) ? 0.16x4 + 3.77x3 + 20.02x2 + 51.93x - 44.00;
(iv) x ? 1.5 million algae when f(x) = 29 thousand frogs
C. (i) about 5 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.77x3 - 20.02x2 + 41.93x - 44.00;
(iv) x ? 5.1 million algae when f(x) = 29 thousand frogs
D. (i) about 7 million
(ii) 
(approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 - 20.02x2 + 51.93x - 44.00;
(iv) x ? 7.3 million algae when f(x) = 29 thousand frogs