Bosco

     Write 214 feet as a multiplication expression using the unit, 1 foot, as a factor.     

     214 x 1 ft  =  214 ft     

_.     

A circle is centered at O.  Find the radius of the circle.     

A = π r²     

A  =  9 π ft²     

π r²  =  9 π ft²    divide both sides of this by π     

    r²  =  9 ft²     

    r  =  3 ft     

Tom's mathematics test had 60 questions: 10 arithmetic questions, 30 algebra questions and 20 geometry questions. Although he correctly answered 70% of the arithmetic questions, 40% of the algebra questions and 50% of the geometry questions, he did not pass the test because he got fewer than 60% of the questions right. How many more questions would he have needed to answer correctly to earn a passing grade of 60%?     

10 • 70%  =    7 correct     

30 • 40%  =  12 correct     

20 • 50%  =  10 correct     

       total       29 correct     

60 • 60%  =  36 to pass     

36 – 29  =  7     Tom needed 7 more correct answers to pass     

_.     

   Which of these can factor using difference of two squares ?     

   4.  144x² – 49y²  =  (12x + 7y)(12x – 7y)     

_.     

In right triangle XYZ with YXZ = 90 degrees, we have XY = 24 and YZ = 28. Find tan Y.     

                  XZ²  =  28² – 24²     

                  XZ²  =  784 – 576     

                  XZ²  =  208     

                  XZ    =  sqrt(208)     

                  XZ    =  14.4222     

                                                tangent Y  =  XZ / XY     

                                                tangent Y  =  14.4222 / 24     

                                                tangent Y  =  0.6009     

_.     

 MS. Moua has 20 students in her first-grade class.     

 How many ways can she choose 5 of them to ride     

 in her van for a class field trip?      

         ₂₀C₅  =  15,504     

_.