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A steep mountain is inclined 74 degree to the horizontal and rises 3400 ft above the surrounding plain. A cable car is to be installed that will travel from a point 910 ft from the base (along the horizontal) to the top of the mountain. Find the shortest length of cable needed.
in a cricket match there was $32000 in prizes money to be shared among the first three teams.the first place winner gets $10000 more than the second place winner.the second place winner gets $2000. more than third place winner. calculate how much ..
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Show your answer using both words and mathematical notation.
An irrigation sprinkler in a field of lettuce sprays water over a distance of 25 feet as it rotates through an angle of 155°. What area of the field receives water? If necessary, round the answer to two decimal places.
Linear Transformations, Rotations, Submodules and Subspaces, (7) Let F=R, let V=R^2 and let T be the linear transformation from V to V which is rotation clockwise about the origin by pi-radians. Show that every subspace of V is an F[X]-submodule f..
Finding Probabilities Under Normal Distribution. Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
Bella requires $80,000 in four years to purchase a new home. What amount must be invested today in an investment that earns 6% interest, compounded annually.
What will your total payment be over the life of the loan? What are the pros and cons of doing this consolidation?
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
a store sold plastic cups for 3.50 each and ceramic cups for 4.00. if 400 were sold for a total of 1,458 how many of each were sold. what is the dollar value of each type
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