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Find the arc radius R and the arc length S given the chord length C=11.8milimeters and the central Angle 98.9 degree
question 1 for each of the following constraints draw a separate graph to show the non-negative solutions that satisfy
You are experimenting with designs for a fruit bowl with a square base. The general idea is to attach congruent regular polygons to the sides of the base and "fold them up" until the closest edges of adjacent polygons meet.
the depth of a pond is 180 cm and is being reduced by 1 cm per week. the depth of a second pond is 160 cm and is being reduced by 1/2 cm per week. if the depths of both ponds continue to be reduced at these constant rates, in about how many weeks ..
The sum of the page numbers on the facing pages of a book is 381. Find the larger page number.
Suppose that G is a forest Consisting of k trees T1, T2, ..., Tk. Furthermore, suppose that Ti has order ni, for 1 Is the n-dimensional cube Qn Hamiltonian? Prove your answer.
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day 2200 people entered the fair and $5050 was collected as entrance fees. How many children and how many adults attended the fair?
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
The expression 200 - 16t2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped. Find the height of the object after 1.25 seconds.
Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
A farmer has 300 meters of fencing. The fencing is to be used to enclose a rectangular field and to divide it in half. Find the dimensions of the field that has the maximum area.
The base of an aquarium with volume V = 440 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
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