下面为大家总结了两道
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
1、In the figure above, inscribed triangle is equilateral. If the radius of the circle is, then the length of arc is
Answer Choices
(A)
(B)
(C)
(D)
(E)
The correct answer is A
Explanation
An equilateral triangle has three equal sides, so the lengths of the three arcs must be equal, and thus each arc is of the circumference of the circle. The circumference of the circle is , so the length of arc is of , or .
2、The projected sales volume of a video game cartridge is given by the functionwhere is the number of cartridges sold, in thousands; is the price per cartridge, in dollars; and is a constant. If according to the projections,cartridges are sold at per cartridge, how many cartridges will be sold at per cartridge?
Answer Choices
(A)
(B)
(C)
(D)
(E)
The correct answer is C
Explanation
For cartridges sold at per cartridge, (since is the number of cartridges sold, in thousands) and . Substituting into the equation yields.
Solving this equation for yields .
Since is a constant, the function can be written as . To determine how many cartridges will be sold at per cartridge, you need to evaluate . Since is given in thousands, there will be cartridges sold at per cartridge.
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