Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If PT is tangent to circle O at point T, then OPT may be an acute triangle.
2. The point of intersection of the perpendicular bisectors of the sides of any triangle is the
center of the circumscribed circle.
3. The center of gravity of a triangle is called the orthocenter.
4. The center of the inscribed circle of a triangle is found by constructing the bisectors of the
angles of the triangle.
1. F—It is a right triangle.
2. T
3. F—It is the centroid.
4. T
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Find the first four terms of the binomial series for the given function.1/3
A. 1 - x +
x2 -
x3
B. 1 - x +
x2 -
x3
C. 1 - x -
x2 -
x3
D. 1 - x -
x2 -
x3
The histogram shows the scores of each participant in a game from a total of 100 participants. The greatest number of participants is within which category?
A. 40-59 B. 60-79 C. 80-99 D. 60-69
Solve the problem.A small business owner made $50,000 the first year he owned his store and made an additional over the previous year in each subsequent year. Find how much he made during his fourth year of business. Find his total earnings during the first four years. (Round to the nearest cent, if necessary.)
A. $137,200.00; $355,200.00 B. $3.20; $52,083.20 C. $192,080.00; $547,280.00 D. $56,243.20; $212,323.20
Determine whether or not the function is one-to-one.
A. Yes B. No