Afarmer is fencing a rectangular area for his cattle and uses a straight portion of a river as one of the sides of the rectangle as illustrated in the figure note that there is no fence along the river if the farmer has 20 100 feet of fence find the dimensions for the rectangular area that gives the maximum area for the cattle

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.