Right Triangle Trigonometry
Trigonometry Laws
Linear Regressions (calculator)
Standard, Point-Slope, and Slope-Intercepts Form
Imaginary Numbers
100
Explain the purpose of SOH CAH TOA, what it stands for and how it helps you solve a problem.
sin=opp/hyp, cos=adj/hyp, tan=opp/adj
100
What is the law of sines formula?
sinA/a=sinB/b=sinC=c
100
What does "r" mean?
Correlation coefficient
100
What is standard form? Point-slope form? and Slope-Intercept Form?
Ax+By=C y-y=m(x-x) y=mx+b
100
What is the difference between an imaginary number and a real number? Don't say that one exists and the other one doesn't.
An imaginary number is the answer to a negative square root (which doesn't exist).
200
If the length of your hypotenuse is 19 inches and the length of the leg is 5 inches, what is the length of the other leg?
15.4 inches
200
What is the law of cosines formula?
a^2=b^2+c^2-2bccosA; b^2=a^2+c^2-2accosB; c^2=a^2+b^2-2abcosC
200
Explain what numbers represent a strong correlation versus a weak correlation.
closer to -1 and 1 - strong; closer to 0 - weak
200
Find the slope, parallel slope, and perpendicular slope of the following line: 4x-2y=8
m=2 parallel m=2 perpendicular m=-1/2
200
What is i^926?
-1
300
A 12 meter flagpole casts a 9 meter shadow. What is the angle of elevation of the sun?
53 degrees
300
How can you tell the difference between using law of sines versus law of cosines for a non-right triangle?
Law of Sines - 2 angles and 1 side OR 2 sides and 1 angle (opposite); Law of Cosines - 3 sides OR 2 sides and 1 angle (between)
300
Write a linear regression trend line for the following data of (year, average acreage per farm) - {(1910, 139), (1920, 149), (1930, 157), (1940, 175), (1950, 216), (1959, 303), (1969, 390), (1978, 449), (1987, 462), (1997, 487)}
y=4.7x-8926.2
300
Write the following equation in standard form: y-2=4(x-1)
-4x+y=-2
300
What is the complex conjugate of -3-7i?
-3+7i
400
A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at his precious damsel, the angle of elevation to her window is 60 degrees. How long does the ladder have to be?
30 feet
400
Find the measure of side b if the measure of angle A is 118 degrees, angle B is 22 degrees, and side c is 24.
14 units
400
What is the slope and y-intercept of the trend line for the following data of (year, tons of solid waste generate in thousands) - {(1990, 19358), (1991, 19484), (1992, 20293), (1993, 21499), (1994, 23561)}
m=1042.1 and b=-2055024.2
400
Find the equation of a line that is parallel to y=1/3x+2 and goes through the point (0,-2). Write in point-slope form.
y+2=1/3(x-0) OR y+2=1/3x
400
What is square root of -144 plus square root of -20 minus square root of -100?
2i plus 2i square root of 5
500
Suppose you're flying a kite, and it gets caught at the top of the tree. You've let out all 100 feet of string for the kite, and the angle that the string makes with the ground is 75 degrees. Instead of worrying about how to get your kite back, you wonder, "How tall is that tree?"
97 degrees
500
Find the measure of side c if the measure of angle C is 41 degrees, side a is 29, and side b is 13.
21 units
500
Tell the correlation of the trend line for the following data and whether it is strong or weak or in the middle. - (speed in mph, stopping distance in feet) - {(10, 15.1), (20, 39.9), (30, 75.2), (40, 120.5), (50, 175.9)}
r=.99 (strong correlation)
500
Find the equation of a line that is perpendicular to 2x+3y=6 and goes through the point (-2,1). Write this in standard form.
-3/2x+y=4 OR -3x+2y=8
500
(2i)/(3-i)
(6i-2)/10 OR (3i-1)/5
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