Mathematics
Question
Edson
If a = 3i +4j and b = 2i - 3j
(i) Find 3a +b
(ii) Find |3a + b|
Mathematics
Question
Edson
Prove that the sum of the interior angles A, B and C of a triangle is 180°.
Mathematics
Question
Edson
Find the value of a and b if (ax + 5)(bx + 4) = 21x² + 43x +20, where a and b are integers.
Mathematics
Question
Edson
Two points X and Y are located on the equator. The longitude of X is 8°W and that of Y is 8°E. Find
(a) The angle subtended by arc XY at the center of the Earth.
(b) The length of arc XY ...
Mathematics
Question
Edson
Three towns, P, Q and R are on the parallel of latitude 20°N. The distance between P andQ is 1482km and between Q and R is 926km. Q, whose longitude is 10°E, is between P and R, find the longitude ...
Mathematics
Question
Edson
An aeroplane flies from town P to town Q along a parallel of latitude 30°S. If the longitude of P is 118°E and that of Q is 150°E, find the length of arc PQ in nautical miles.
Mathematics
Question
Edson
The location of Morogoro is 7°S, 38°E and that of Dar Es Salaam is 7°S, 39°E. Find the distance between them in Kilometers.
Mathematics
Question
Edson
Two points on latitude 50°N lie on longitudes 35°E and 40°W. What is the distance between them in nautical miles?
Mathematics
Question
Edson
Show that the radius of a circle with an arc of length π cm and central angle 30° is 6cm.
Mathematics
Question
Edson
Find in degrees for each of the following radians
(a) π/4
(b) 2π/3
(c) 7π/4
(d) 3π/2