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Approximating the Area of a Lake To approximate the area of a lake, Cindy walks around the perimeter of the lake, tak ing the measurements shown in the illustration. Using this technique, what is the approximate area of the lake?[ Hint: Use the Law of Cosines on the three triangles shown and then find the sum of their areas.]speed of 10 knots. After 1 hour, the ship turns 90° toward the southwest. After 2 hours at an average speed of 20 knots, what is the bearing of the ship from Boston?
Drive Wheels of an Engine TIle drive wheel of an engine is 13 inches in diameter, and the pulley on the rotary pump is 5 inches in diameter. If the shafts of the drive wheel and the pulley are 2 feet apart, what length of belt is required to join them as shown in the figure?
Find the side length for a right triangle. Round answer to nearest tenth.
how much energy is needed to increase the temperature of 755 g of iron from 283 k to 403 k.
In developing your responses, consider - at a minimum - and discuss the application of each of the course elements in analyzing and making decisions about data (counts and/or measurements)
A car moving at a speed of v mph achieves 24 + 0.1v mpg (miles per gallon) for v between 20 and 60 mph. Your speed as a function of time, t, in hours, is given by v=50(t/t+1). Write an integral that will give the total number of gallons of gas con..
Find the area bounded by the graphs- f(x) = x2 and g(x) = x3
Rita has a collection of 108 coins consisting of nickels, dimes, and quarters. The number of dimes is 4 more than one-third the number of nickels, and the number of quarters is twice the number of dimes. How many coins of each kind does she have?
set operations and venn diagrams please respond to the followingcreate a story problem that demonstrates how a venn
A box contains 7 white balls and 3 red balls. Three balls are drawn at random. Inn how many ways can the three balls be drawn
Calculate the mass of the solid contained by the ellipsoid (x2/a2) + (y2/b2) + (z2/c2) = 1 given constant mass density β. Hint: You want to do TWO transforms.
A computer password consist of any five capital letters from the ordinary english alphabet. How many different passwords start with the letter z?
A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?
What is a Wronskian of differential equation
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