Triangle ABC has coordinates A(0, 0) B(23, 0), and vertex C lying in Quadrant I. The length of side BC = 11 and the sin(angle ABC = 0.768) when rounded to the nearest thousandth. Circle Q is drawn such that each side of triangle ABC is tangent to circle Q at exactly one point, and circle Q is inscribed within triangle ABC. If F is the x-coordinate of point Q, G is the y-coordinate of point Q, and H is the length of the diameter of circle Q, then a/b = (F + G^2 + H^2), where a and b are coprime positive integers. Find a + b.

The table shows the total distance that myra runs over different time periods. which describes myra’s distance as time increases? increasing decreasing zero constant

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.