Clara organizes cans in triangular piles, where each row has one less can than the row below. for example, the pile of 15 cans has 5 cans in the bottom row and 4 cans in the row above it.

(a) there are 3240 cans in a pile. how many cans are in the bottom row?

(b) (i) there are s cans and they are organized in a triangular pile with 'n' cans in the bottom row. show that n^2 +n - 2s= 0

(ii) clara has 2100 cans. explain why she cant organize them in a triangular pile.

G(x) 16g(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

You have learned about the six trigonometric functions, their definitions, how to use them, and how to represent them graphically. the sine, cosine, and tangent trigonometric functions can be paired with their reciprocal functions, cosecant, secant, and cotangent, respectively. think about how each function is related to its reciprocal function.how are the graphs of the reciprocal functions related to their corresponding original functions? what happens to the graphs of the reciprocal functions as x approaches the zeros of the original functions? describe how you would teach friends with different learning styles (visual-spatial, aural-auditory, verbal-linguistic, physical-bodily-kinesthetic, logical-mathematical, social-interpersonal, and solitary-intrapersonal) how to graph the reciprocal functions

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30