Non-Right Triangles
Matrices
Conics
Random Trivia
100
if sin(A)=42o, side a=30, and sin(B)=79o, find side b. Round to the nearest tenth.
b=44.0
100
Write I4.
Check Boards
100
Which conic is defined as a set of fixed points equidistant from a given point?
Circle
100
What is the hardest natural substance on Earth?
Diamond.
200
In triangle ABC, side a=24, side b=19, and angle C=80o. Use law of cosines to find side c. Round to the nearest tenth.
c=27.9
200
If the dimensions of matrix A is 7x3, and matrix B is 5x7. Write the dimensions of AB and BA. If either operation is not possible, explain why.
AB = not possible (inner dimensions don't line up).
BA = 5x3
200
Write the equation of a circle centered at (-2,7) with a radius of 9.
(x+2)2 + (y - 7)2 = 81
200
Based on average weight, what is the smallest breed of dog?
Chihuahua
300
If given side a, side b, and angle A<90o, what is the criteria for zero triangles?
a < b, sinB > 1
300
If |D|=18, and the solution to a system of equations is (-3, 5), find |Dx| and |Dy|.
|Dx| = -54 and |Dy| = 90.
300
Which conic is defined as the set of all points (x , y) in a plane such that the sum of their distances from two fixed points is a constant.
Ellipse
300
What is the only country to border the UK?
Ireland
400
In triangle ABC, side a=28, side b=21, and c=34. Find angle B. Round to the nearest full degree.
B = 38o
400
For Cramer's rule, if |D|=0, what are the two situations that can occur with Cramer's rule? Include |Dx| and |Dy| in your explanation.
1. No solution either |Dx| is not equal to 0, or |Dy| is not equal to 0, or both do not equal 0.
2. Infinite solutions, |Dx| = |Dy| = 0.
400
Determine the radius of a circle centered at (11,8) containing the point (8,4).
r = 5
400
How many keys are on a standard piano?
88
500
If a=8, b=10, and A=35o, find all possible triangles. Round sides and angles to the nearest tenth.
Triangle 1: B=45.9o, C=99.1o, c=13.8
Triangle 2: B=134.1o, C=10.9o, c=2.6
500
Are A and B inverses?
No. But AB=BA.
500
Write the equation of an ellipse with foci at (3,-2) and (9,-2) with a major axis length of 18.
(x-6)^2/81 + (y+2)^2/72 = 1
500
What is the name of the dot over a lowercase "i" or "j" ?
Tittle