Currently I am tutoring on the side for high school students who are struggling in math and science.
The length of $overline{mathrm{XY}}$ is 24 centimeters. The midpoint of $overline{X Y}$ is $M$ and $C$ is on $overline{mathrm{XM}}$ so that $mathrm{XC}$ is $frac{2}{3}$ of XM. Point $mathrm{D}$ is on $overline{mathrm{MY}}$ so that $mathrm{MD}$ is $frac{3}{4}$ of MY. What is the length of $overline{mathrm{CD}}$ ?
An earthquake P wave traveling at 8.0 km$/$s strikes a boundary within the Earth between two kinds of material. If it approaches the boundary at an incident angle of 44$^\circ$ and the angle of refraction is 33$^\circ$, what is the speed in the second medium?
Two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a table. The target box is horizontal distance $D=2.20 \mathrm{m}$ from the edge of the table; see Fig. $8-48 .$ Bobby compresses the spring $1.10 \mathrm{cm},$ but the center of the marble falls 27.0 $\mathrm{cm}$ short of the center of the box. How far should Rhoda compress the spring to score a direct hit? Assumethat neither the spring nor the ball encounters friction in the gun.
The CN Tower in Toronto, Canada, is the tallest free-standing structure in North America. A woman on the observation deck, 1150 ft above the ground, wants to determine the distance between two landmarks on the ground below. She observes that the angle formed by the lines of sight to these two landmarks is $43^{\circ} .$ She also observes that the angle between the vertical and the line of sight to one of the landmarks is $62^{\circ}$ and to the other landmark is $54^{\circ} .$ Find the distance between the two landmarks.
Two flat walls meet in the corner of a classroom. Which postulate best describes this situation?A. Through any three noncollinear points there is exactly one plane. B. If two points lie in a plane, then the line containing them lies in the plane.C. If two lines intersect, then they intersect in exactly one point.D.If two planes intersect, then they intersect in exactly one line.
What is the electric potential 11.3 cm from a 2.01 ?C point charge? (k = 9.00 x 109 N.m2/C2 and 1 ?C = 10-6 C)
