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Problem 1: You stand at the bottom left corner of your property, which is shaped like a triangle. You look straight to your right and see the marker at the right corner of the bottom of your property. You then turn through an angle of 40o and look at the mailbox at the top corner of your property. You now walk 60 feet to the right corner at the bottom of your property. You look back at the left corner of the bottom of your property and then turn through an angle of 35o and look at the mailbox. How far is it from each each corner of your property to the mailbox?
Problem 2: You are designing a park that will be shaped like a triangle. It is bounded by three straight roads - Boros Boulevard, Luke Lane, and Gallagher Avenue. Boros Boulevard is 1.4 miles long, Luke Lane is 2.2 miles long, and the angle between them is 72o. How long is Gallagher Avenue?
Problem 3: If sina A = 5/13, and cos B = -(4/9), and both angles are in the second quadrant, find:
a) sin(A + B)
b) cos (A + B)
c) tan (A - B)
Problem 4: If cotθ = -(7/11), and tanφ = 9/7, with π/2 < θ < π and π < φ < 3π/2, find:
a) sin(θ - φ)
b) cos (θ + φ)
c) tan (θ + φ)
An open box is to be made from a square piece of sheet metal, 20 inches on a side, by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
Among 459 randomly selected light bulbs tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
How to interpret binary number when it's used as radix-2 unsigned integer and when it is used as 2's complement?
expressing the given tangent function as a power series by determining its coefficients.calculate c0 c1 c2 c3nbspand
Find all [vanishing and non-vanishing] components of mixed curvature tensor - find all components of Rprmn.
A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
Probability and Pascal's Triangle, Describe a real-life situation where Pascal's Triangle can be used to calculate probability
A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
A consumer information magazine estimates that the real juice content of several drinks sold as snack drinks for children was 79.5% in 1999, compared to 86.25% in 1998.
Write the vertical motion equation for this problem.
On the axes below, draw a non-linear function that is continuous and differentiable between the points (0, 3) and (4, 1). Sketch the secant line between these two points.
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