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Applications of the law of Cosines.
Find the side of a regular dodecagon that is inscribed in a circle with radius 4 cm. (A regular dodecagon has 12 equal angles and 12 equal sides.) Show your method of solution. You may use geometric vector.
Assume that a watermelon dropped from a tall building falls y=16t^2 in t sec. Find the watermelon's average speed during the first 3 sec of fall and the speed at the instant t=3sec.
If 2 cards are drawn from a regular deck of 52 cards without replacement, what is the probability that the second card is a queen? (Note: your final answer must be a single probability)
Find the largest possible product of such numbers.
Which algebraic expression represents five inchess less than twice last year's rainfall f in inches?
A page for a journal contains 80 square inches of type written words. The height of a page is twice the width. If the Margin around the type is to be 2 inches uniformly, what are the dimensions of a page?
The base of S is the triangular region with vertices (0, 0), (4, 0), and (0, 4). Cross-sections perpendicular to the y-axis are equilateral triangles.
You have 96m of fencing. The field is to be three times as long as it is wide. Define an appropriate variable and set up an equation to determine the dimensions of the field.
Calculating the first derivative and critical point.
That is, if they are both used, one at a time, to solve a problem with exactly the same constraints, will the optimal values of X1 and X2 be the same in both cases?
quare centimeters, what is the cost of the metal for each sign? 80 cm 75 cm 85cm
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
What is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)?
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