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What is the maximum value of [9sinθ+2sin(θ+π/3)]^2?
Four players are playing a game involving choosing positions on a grid of size 3×8. Each player chooses a random position on the grid, then all players reveal their choices and a token is placed on each of the positions. The probability that the tokens form the vertices ...
The price of a hat is reduced by a% from its regular price, and then is raised by a% from the reduced price. If the resulting price is an 81% discount from the regular price, what is a?
θ is an acute angle such that tan(θ) = 12. What is the value of 5√5⋅(sinθ+cosθ)?
In triangle ABC, we have AB = 16, BC = 29 and CA = √1097. What is the integer that is closest to 100 sin∠ABC?
Identify six renewable (as opposed to depleted) sources of energy.
for either standard form of the parabola, describe what happens to the shape of the parabola as p increases
A rectangular livestock pen with THREE SIDES of fencing is to be built against the barn. The fencing is 1050ft long. Find the dimensions of the maximum area that can be enclosed. What is the maximum area?
A childs kite is on top of a straight pine tree. A ladder is placed against the tree and touches the kite. The ladder forms a 45-degree angle with the flat ground. The base of the tree is 9 feet away from the base of the ladder. With only this information, how can you de...