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, wha...
The only ideas that can be used include: area ABCI-RA2(A+B+C-lpi), the Pythagorean theorem: Cos c cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; cos A-cos a sin b/sin c; spherical law of sines, spherical law of cosines for sides and spherical law of cosines for angles 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...
1. Let ABCDE be a regular pentagon on the unit sphere S with each side equal to s and each angle equal to 4pi/5. Find the exact value of cos a. Noticed that as in Euclidean geometry a regular pentagon called a spear can be inscribed in a spherical circle The only ideas that can be used include: area ABC-RA2(A+B+C-Ipi), the Pythagorean theorem: Cos c-cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; coS A-COs a sin...
Numbers 6,10,17 and 29 please. numbers 6,10,17 and 29 please. CONCEPTS 10. A 24 10 1. For triangle ABC with sides a, b, and c the Law of Cosines 20 12 2. In which of the following cases must the Law of Cosines be used to solve a triangle? ASA SSS SAS SSA 11-20Solve triangle ABC SKILLS 3-10Use the Law of Cosines to determine the indicated side x or angle 0 12. 12 120° 4. С *. 13, a С...
Can someone explain if this is right and where we get 2pi/15??? Let ABCDE be a regular pentagon on the unit sphere S with each side equal to s and each angle equal to (4 π)/15. Find an exact value for cos(s). Note that as in Euclidean geometry, a regular pentagon on a sphere can be inscribed in a spherical circle) Let 0 be Centre of unttệpheve Aonbe) L ABCDE be hauue ) g": l+1-2(4) (1) cos ( 요ㅠ IS...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...