What is the area of a circle with a diameter of 3cm?
Give answer as an exact value.
2.25 π cm squared
200
An enormous spoon is scaled 3:16 from its actual size into a diagram that is 6 cm in length. What is the length of the actual spoon?
32 cm (enormous, eh?)
200
Which two special angle trig functions are equal to 1/2?
sin 30° and cos 60°
200
(2,-1) is a point on the terminal side for this exact value of sin θ.
What is - √5/5
200
f(x)= -7|x–3|–4 becomes
g(x)= -7|x–3| What is the Transformation?
What is 4 unit up
300
What is the supplementary angle of 48° and the complementary angle of 73°, respectively?
132°, 17°
300
What is the angle measure of the central angle subtended from the same arc as an inscribed angle that measure 56°?
112°
300
Solve for x and y.
3x + 2y = 16
7x - 4y = -24
x= 0.5
y= 6.875
300
Two chickens run away from the chicken farm at noon. If one chicken heads northeast at 50 km/hr and the other chicken heads south at 35 km/hr, how far are they apart at 3pm that day assuming they do not stop?
236 km apart
300
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
What is 0.25/hour.
400
Sean bought an illegal graphing calculator because it was on SALE. The original price was $178.82, but it had a 40% discount. The tax on the discounted item was an additional 12%. How much did Sean pay?
$120.17
(Bonus points for team that notices something special about this answer!)
400
What is (2x-3)(x+5)?
2x^2 + 7x -15
400
Horman has 2 empty cones to hold water. They each have a slant height of 13 cm and a diameter of 10 cm. How much water in mL can they hold together?
(Ignore thickness of cone)
628 mL
400
The sum of an infinite geometric series k^n =8, where infinity is the upper bound and 1 is the lower bound.
What is the value of k?
k= 8/9
400
Factor x^5 - 10 x^4 + 26 x^3 - 8 x^2 - 27 x + 18
Contains a squared term.
What is (x - 6) (x - 3) (x - 1)^2 (x + 1)
500
What is the area of a right-angle triangle that has one side of length 9 and a hypotenuse of length 15?
54
500
What is (2^6 x 2^ -5)^3 + (3^0 + 5^5/ 5^3)?
=8 + 26
=34
500
A building is 150m tall. A 1.5m student sees the top of a neighbouring building at 35° below the horizontal. The buildings are 50m apart. How tall is the shorter building?
116m
500
A field needs two kinds of fencing. Two opposite sides needs fencing that costs $3 per meter, while the other two sides needs fencing that costs $4 per meter. What is the greatest area that can be fenced for $3600?