Download Math 2 Support Cumulative Exam Review NB ______ November 28

Math 2 Support
Cumulative Exam Review
NB _______
November 28, 2011
1. The hypotenuse of a 30-60-90 triangle is 24 cm. Find:
a) Length of short leg
c) perimeter of the triangle
b) Length of long leg
d) area of the triangle
2. An equilateral triangle has sides of length 12. Find the altitude.
3. Given the sequence  12,7,2,3,... find:
a) Explicit formula
c) Sum of 30 terms
b) 62nd term
4. Calculate the zeros.
x 2  9 x  18 .
5. Write the quadratic function f ( x)  3x 2  3(2 x  1)  7 in both standard and vertex
form.
6. A) Find x to nearest tenth.
B) Find x to nearest degree.
7. An observation tower is 110 m tall. The angle of depression from the top of
the tower to a historical marker on the ground is 28˚. How far from the base
of the tower is the marker? Draw a diagram and round answer to nearest tenth.
8. Given the diagram, find the area of the sector.
9. Find the area of a segment of a circle with a central angle of 120 degrees and a radius of 8 cm .
The height of the triangle is 4 cm and the base is 14 cm. Express answer to nearest hundredth.
10. a) Find m <BFC.
B) Find m < DFC.
11. If measure of arc XY is 115°, find the measure
of angle P.
12. If m <ACE = 60° and arc AE = 162°, find the measure of arc BD.
13. What is the solution to the equation 3x 2  x  1  0 ?