Matrix a below gives the fraction of the earth's area and the projected fraction of its population for five continents in 2050.
matrix b gives the earth's area (in square miles) and its projected 2050 population.
fraction
of area
0.162
0.119
0.066
0.298
fraction of
population
0.047 1 north america
0.086 south america
0.065 europe
0.582 asia
0.215 africa
a
=
0.202
area population
57,850,000 0
0 9,322,000,000
area
population
be
find the area (in square miles) and population of each given continent by finding ab.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12