


(a) Euclids fourth postulate reads "all right angles are equal." Prove this in the SMSG system,...
Two equal-sized vectors at right angles to each other have a resultant that is A) √ 2 the length of either vector B) equal to that of either vector C) twice the length of either vector
Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upward along the y axis at vA = 2.7 m/s , and ball B is moving to the right along the x axis with speed vB = 5.5 m/s . After the collision, assumed elastic, ball B is moving along the positive y axis(Figure 1). Part A- What is the final direction of ball A? Part...
Prove that if two right triangles have hypotenuses of equal length and an acute angle of one is equal to an acute angle of the other, then they are congruent.
Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upward along the y axis at vA = 2.8 m/s , and ball B is moving to the right along the x axis with speed vB = 5.8 m/s . After the collision, assumed elastic, ball B is moving along the positive y axis(Figure 1). Part A What is the final direction of ball A? Express...
Do not use I=delta/S!!! Use law of cosines
Here is the question: Let r be the radius of the incircle of triangle ABC on the unit sphere S. If all the angles in triangle ABC are right angles, what is the exact value of cos r? Note in spherical geometry the angles sum is>180 Using below picture (this is what we are given), we should know angle b and the angle at the perpendicular. If we find the length on...
Learning Goal:To use trigonometric functions to find sides and angles of right triangles.The functions sine, cosine, and tangent are called trigonometric functions (often shortened to "trig functions"). Trigonometric just means "measuring triangles." These functions are called trigonometric because they are used to find the lengths of sides or the measures of angles for right triangles. They can be used, with some effort, to find measures of any triangle, but in this problem we will focus on right triangles. Right triangles...
Give a counterexample to prove the following conjectures false, 21. All mammals live on land. 22. If a number is even, then it is a multiple of four. 23. A number is only divisible by five, if the number ends in five. 24. Two odd numbers will have a sum that is odd. 25. All four-sided polygons have four right angles.
2.17 Prove that a system is linear if and only if 1. It is homogeneous, i.e., for all input signals x(t) and all real numbers α, we have 2. It is additive, i.e., for all input signals xi (t) and x2(t), we have In other words, show that the two definitions of linear systems given by Equations (2.1.39) and (2.1.40) are equivalent. s.PNG Edit & Create Add to a creation Sh Linearand NonlinearSystems. Linear systems are systems for which the...
please make sure you have the right answer. A toroid that has a mean radius equal to 28.5 cm and circular loops with radii equal to 1.50 cm is wound with a superconducting wire. The wire has a length equal to 1000 m and carries a current of 360 A. (a) What is the number of turns of the wire? ...... (b) What is the magnetic field strength and magnetic energy density at the mean radius? ......... T ....... MJ/m3...
Problem 1 (10 pts) a) For a force F drawn in a right-handed Cartesian coordinate system identify all the things that need to be corrected in the figure เท่ b) An object of known weight is hanging from the ceiling. If all the cable directions are known and they are not in the same plane, the problem is solvable. If they are in the same plane, then the problem is unsolvable with what we have learned. Why?