Mystery
State a Ms. Dickey "crash out" or choose a way to destroy Europa. (Gwendolyn)
What is...
Convert 11pi/6 into degrees. (Emory)
What is 330 degrees?
Find the exact value of sin(105 degrees). (Gwendolyn)
What is (21/2+61/2)/4?
If the crest is at x=6 and the trough is at x=1, what is a? (Ms. Dickey)
What is 2.5?
What type of conic is x2+y2+4x-6y+9=0? (Anna)
What is ellipse (circle)?
Emory becomes Shawn Mendes's music partner (and the key to his success). She invests her singing money ($1.5) in a continuously compounded CD with a rate of 5%. In 5 years, how much money will she make? (Pippa)
What is $1.93?
Convert 495 degrees into radians. (Emory)
What is 11pi/4?
Name two types of triangle (SAS, SSS, AAA, SSA, etc) for which you cannot use Law of Sines? (Ms. Dickey)
What is SSS and AAA?
What are two x-intercepts of y=3 sin(2x)? (Anna)
What are (0, 0), (pi/2, 0)?
The Swiss Semester teachers are making a massive pumpkin pie. The pie will be 400 feet in diameter. Find an equation in standard form for the pie. (Elizabeth)
What is x2+y2=2002?
Simplify 3loga(b)-4loga(d) into a single log. (Pippa)
What is loga(b3/d4)?
Find cot(7pi/4). (Emory)
What is -1?
Solve the triangle ABC, given A = 45 degrees, B = 20 degrees, c = 17. (i.e., find C, a, b). (Gwendolyn)
What is C = 115 degrees, a = 15.26, b = 6.42?
Emory is zooming shredding some fresh powder, no lunch break in sight. Her skiing is modeled by f(x) = cos(2x)+1. What are the transformations applied, the period, the amplitude, and the domain and range. (Elizabeth)
What are 1) horizontal stretch of 2, 2) up 1; p= pi, a = 1, D: (-infty, infty), R: [0, 2]?
Which way would the parabola -(y-5)2=4p(x-10) be facing? (Emory)
What is left?
Find a polynomial with roots x = 1-i and x=0. Simplify until there are no i's. (Ms. Dickey)
What is x3-2x2+2x?
Find sin(x) for x in [0, 2pi) given that tan(x) = 1 and cos(x) < 0. (Gwendolyn)
What is 5pi/4?
Your angle of elevation to the Matterhorn is 27 degrees. Mr. Haynes stands 1000 m closer and measures the angle of elevation as 35 degrees. Find the distance between you and the top of the Matterhorn as well as the distance between Mr. Haynes and the Matterhorn. (David)
What are 4,121 m and 3,262 m?
Find the period and frequency of y=3sin(2x). (Anna)
What is pi and 1/pi?
Write 4x2-32x+y2-18y+61=0 in standard form and find the eccentricity. (Emory)
What is (x-4)2/9 - (y-9)2/36=1 and (3)1/2/2?
How can you still use the unit circle for circles whose radius is not 1? (Ms. Dickey)
You can scale the unit circle values (x,y) by the radius to get the corresponding values for your new circle.
Ms. Dickey is now 30 and created a new plant named Europa, which has a radius of 2 km. She is the first person to land on the planet and goes on a quick jog. The central angle of the run is 3pi/4. What is the arc length of her light jog? (Pippa)
What is 3pi/2 km?
Prove sin2(x)cos2(x) = (1/8)(1-cos(4x)). (Gwendolyn)
sin2(x)cos2(x) = ((1-cos(2x)/2))((1+cos(2x)/2))
=(1/4)(1-cos2(2x))
=(1/4)(sin2(2x))
=(1/4)((1-cos(4x))/2) = (1/8)(1-cos(4x))
What transformations need to be applied to secant in order for the range to be (-infty, 8]U[22, infty)? (Ms. Dickey)
What is vertical stretch by 7 and up 15?
Where does the word "conic" come from? How are parabolas, ellipses, circles, and hyperbolas connected? Include a drawing in your explanation. (Ms. Dickey)
What is they are all created by cross-sections of cones?