Cursed Algebra
Find the roots of the equation 4x^2- 17x +4
x=4, x=1/4
This is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 2 o’clock.
60 degrees
Which ancient Greek mathematician is credited with the famous geometric theorem stating that in a right triangle, a^2 + b^2 = c^2
Pythagoras
In a right triangle, which trigonometric ratios is defined as the length of the opposite side divided by the length of the hypotenuse?
Sine(sin)
A haunted house charges $12 for adult tickets and $8 for student tickets. If a group of 2 adults and 5 students goes together, this is the total cost of their admission.
$64
3x + 2y = 10, 4x -3y = 4 Find the value of x and y
x = 38/17, y=28/17
two parallel lines are cut by a transversal. If a pair alternate interior angles measures (3x+20) degrees and (5x-40) degrees, what is the value of x
x=30
Which latin letter represents the numerical value 2.718
e
If teta is an acute angle in a right triangle and sin(teta) = 3/5, what is the value of cos(teta)?
4/5
A haunted house charges a flat entry fee of $\$15$ plus $\$4$ for every maze room visited. If a visitor spends a total of $\$43$, how many maze rooms did they visit?
7 rooms
What is the real solution to the logarithmic equation log base 2 (x) + log base 2 (x-6) = 4
x=8
A circular sector had a central angle of 120 degrees and a radius of 6 cm. What is the exact area of this sector?
12 pi cm^2
Albert Einstein is famous for physics and math. What is hos famous equation that links energy with mass and the speed of light (c)
E=mc^2
What are the three main Pythagorean trigonometric identities?
sin^2(x)+cos^2(x) = 1
1+tan^2(x) = sec^2(x)
1+cot^2(x) = csc^2(x)
A pumpkin patch charges a $5 flat entry fee plus $0.50 per pound for any pumpkin you pick. If Sam spends a total of $17, this is the weight of his pumpkin in pounds.
24 pounds
What is the remainder when the polynomial P(x) = 2x^3 -5x^2+3x -7 is divided by x-3
11
The equation of a circle is given by x^2 +y^2 -8x +10y +5=0. What is the area of this circle.
36pi
Which real number has no multiplicative inverse because division by it is undefined?
0
what is the exact period of the trigonometric function f(x) = sin(4x)
pi/2
A witch flies her broomstick 6 miles due north, then turns and flies 8 miles due east. This is the shortest straight-line distance, in miles, from her ending position back to her starting point.
10 miles
Whatis the slant (oblique) asymptote of the rational function f(x) = 2x^2 - 3x +5 / x-2
y= 2x+1
Triangles LMN and PQR are similar right triangles, where L corresponds to P and M corresponds to Q. Given LM = 180, MN = 385, and NL = 425, what is the value of cosR
77/85
WHat is the special mathematical term for the irrational number approximately equal to 1.618, famous for appearing in nature, architecture, and art spiral patterns.
The golden ratio or Phi
If cos(theta)=1/3, Whatis the exact value of cos(2theta)?
-7/9
A treat bag contains 5 full-sized candy bars and 3 mini candy bars. If you draw 2 candy bars at random without replacement, this is the probability (expressed as a simplified fraction) that both drawn bars are full-sized
5/14