Farmer Grainger's square plot yields 350 bushels of grain. To increase the yield, Grainger invests in a circular sprinkler pivot to irrigate a square plot of land. When he places the sprinkler at the center of the field and stretches the arm to half the field's length, he estimates that the sprinkler will triple the yield over the irrigated circular area, even though some land will not be irrigated. (a) What is the projected yield of the circular area once the pivot is installed? (b) Farmer Grainger wonders if he could increase his yield by placing the sprinkler so that the circular pivot's center is at one corner of the square plot of land, thereby extending the watering arm to the length of the field. Is this a better configuration than the configuration in part (a) above?

The height of a triangle is 4 in. greater than twice its base. the area of the triangle is no more than 168 in.^2. which inequalitycan be used to find the possible lengths, x, of the base of the triangle?

The length of the largest fish is 967.74 times greater than the length of the smallest fish. select a variable expression that shows the length of the largest fish, if 8 is the length of the smallest fish. a. s + 967.74 b. \[ \frac{967.74}{s} \] c. 967.74 - s d. 967. 74s

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