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A cylindrical can is just big enough to hold three tennis balls. The radius of a tennis ball is 5 cm. What is the volume of air that surrounds the tennis balls?
Explain why tan(x + 450 degrees) cannot be simplified using the tangent sum formulas but can be simplified by using the sine and cosine formulas.
The height of a wave is given by the function h(t) = 4 cos(wt), where t is in seconds. Suppose the height of the wave is 3 feet at 10 seconds.
A V-gauge is used to find the diameters of pipes. Look at the figure in the attachment, the measure of angle AVB is 54°.
Latitude presents special mathematical considerations for cartographers. Latitude is the north-south location on the earth between the equator and the poles.
Determine fe(x) and fo(x). Is f even? Odd? Neither? The problems are from Even, Odd, and Periodic Functions.
Suppose that a boat leaves Jacksonville traveling at a bearing of 110o. It goes 30.0 km, and then travels 100.0 km at a bearing of 170o.
In the movie Close Encounters of Third Kind, there was a scene where the star, Richard Dreyfuss, was approaching Devil’s Tower in Wyoming.
Two cars with new tires are driven at an average speed of 60 mph for a test drive of 2000 miles. The diameter of the wheels of one car is 15 inches.
What is the difference between a trigonometric equation that is an identity and a trigonometric equation that is not an identity?
Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? Can you show me how you got the answer?
The tower will be supported by three cables, each attached to the top of the tower and to points on the roof of the building which are 5 feet from the base.
From a point that is 10M from the base of the wall, the angle of the elevation of the top of the wall is 72 degree.
From the barge the bearing to the lighthouse is 63 degrees ( 12 km is the length of the side adjacent to the 63 degree bearing ).
How do you convert from degrees to radians. Explain and provide an example with 283 degrees.
A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse.
What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)?
The volume of a cube is given by V= s cubed. Find the length of a side of a cube if the volume is 1000 cm cubed. Show work.
In an isosceles triangle each of the equal side is 10 meters and the base is 16 meters. Find the vertex angle accurate to the next minute.
In a rhomboid the obtuse angle is 123 degrees,the longer side is 50 mm,and the longer diagonal is 80 mm.Find the shorter side of the rhomboid.
Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter.
A nautical mile depends on latitude. It is defined as length of a minute of arc of the earth's radius.
Write 1 x 4 matrices P, G, and M that represent the nutritional values of each food. Find 3P + 2G + 2M and tell what the entries represent .
A recent land survey was conducted on a vacant lot where a commercial building is to be erected.