Triangle LURLURL, U, R has a uniform thickness of 2.52.52, point, 5, as shown at left. The length of \overline{UD} UD start overline, U, D, end overline, which is the height of the triangle, is 25\sqrt325 3 25, square root of, 3, end square root. The triangle has a right angle at vertex UUU and an angle of \dfrac\pi6 6 π start fraction, pi, divided by, 6, end fraction at vertex RRR. Given that the width, www, of the shaded triangle is about 50\sqrt{3}50 3 50, square root of, 3, end square root, what is the height, hhh, of the shaded triangle to the nearest tenth?

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

What value of x is in the solution set of 4x – 12 s 16 + 8x?

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.