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Suppose you have triangle ABC and triangle DEF, and they are similar, with a scale factor of 0.5. If the angle measures of ABC are 80°, 80°, 20°, what are the measures of the angles in DEF?
A. 40°, 40°, and 10° B. 40°, 40°, and 100° C. 80°, 80°, and 20° D. Cannot be determined.
a trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 foot. if the trough id being filled with water at a rate of 12ft3/min, how fast is the water level rising when the..
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
Eight square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at least one other tile along an entire edge. The squares all have sides of length 1.
Consider S ( D ) = 0.159 + 0.118 log ( D ) . S is the slope of a beach and D is the average diameter (in mm) of the sand particles on the beach. Suppose a particular beach rises 9 meters for every 100 meters inland. What size sand would you expect..
Calculate the reduced row echelon form of the following matrices. Approximate answers should be entered to at least 4 decimal places.
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
A plane flies 45 minutes at 150mph on a bearing of 35 degrees. It then turns and flies 90 minutes at the same speed on the bearing of 125 degrees. How far is the plane from the staring point?
A boat travels 72 miles upstream in the same time that it takes to travel 120 miles downstream. The speed of the boat in still water is 32 mph. Find the speed of the current.
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
Suppose that a population model is the logistic model with harvesting term h, a constant, i.e.
Augmented matrices to solve the equations
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance (omit units)?
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