He practiced for 1 hour and 30 minutes
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Answer:
2 1/2 feet
Step-by-step explanation:
The Pythagorean theorem is not useful in this problem.
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If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.
The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.
The base (short leg) of the triangle shown is 2 1/2 feet.
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Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)
Answer:
Your answer is.....
A Van carries 15.5 or about 16 students
A bus carries 20 students
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Step-by-step explanation:
Find the standard deviation of the following data set. Assume the data set is a sample. 14,28,10,16,23,17,17,23,22,22,26
vlada-n [284]
5.43724529184 would be the standard deviation.
Answer:
(-8, 1)
Step-by-step explanation:
x = -2 is a vertical line passing through (-2, 0).
The point (4, 1) is 6 units to the right of this line.
After reflecting the point over the line, the image point will be 6 units to the left of the line: (-8, 1).