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Cosine rules.
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.
Heights and distances.
The angle of depression to one side of a lake, measured from the passenger cage of a hot air balloon is 43 degrees. The angle of depression measured to the other side of the lake is 27 degrees. The passenger cage of the balloon is 2500 feet above the lake. Find the width of the lake.
Please outline the specific problem, your solution and how the specific problem solving guidelines were applied. Be sure to carefully tell us how you applied each of the guidelines to your problem.
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
Run a multiple linear regression of your selecting & interpret.
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
The hypotenuse of a right triangle is 26 cm. One of the legs is 14 cm longers than the other leg.
Determine the equation for the volume and surface area of the box
The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
Calculate the breakeven point
Test at the five percent level of significance
The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 106 cm2, what is the length of the diagonal.
The vertices of the trapezoid are the origin along with A(4m, 4n), B(4q, 4n) and C(4p,0). Find the midpoint of the midsegment of the trapezoid.
In rectangle ABDF above, C and E are midpoints of sides BD and DF, respectively. What fraction of the area of the rectangle shaded?
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