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A rectangle has perimeter 78 feet, and its area is 360 sq-feet. Find the dimensions of this rectangle. (For purposes of this problem only, the width is shorter than the length.)
We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem.
Graph each absolute value function and state its domain and range.
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
Building A is 170 feet shorter than Building B. The total height of the two buildings is 1500 feet. Find the height of each building.
Suppose a machine has three independent components with Exp(.1) lifetimes. Compute the expected lifetime of the machine if it needs all three components to function properly
What explains grade inflation? Students at almost all colleges and universities get higher grades than was the case 10 or 20 years ago.
At East Zone University (EZU) there are 575 students taking College Algebra or Calculus. 345 are taking College Algebra, 302 are taking Calculus, and 72 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
With what initial velocity must an object be thrown upward from the ground to reach the height of a national monument (580 feet)? Use a(t) = -32 feet per second as the acceleration due to gravity. (Round to 2 decimal places.)
Gary's age is an even number less than 14. He is one-half his sister's age. His sister's age is a number between 16 and 24. how old is Gar5y and how old is his sister?
Stating the null & alternate hypotheses
Using Excel to graph, prove whether the following equation could possibly be an identity or determine if it is definitely not an identity.
Suppose the three vertices A, B and C of a parallelogram ABCD are given. Construct the fourth vertex D.
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