~i need this asap, ~. paul plans to put concrete on a rectangular portion of his driveway. the portion is 12 feet long and 6 inches high. the price of concrete is $98 per cubic yard. the total cost of the concrete paul needs is $108.89. which of the following is closest to the width of the portion of the driveway on which paul plans to put concrete? . [1 foot = 12inches; 1 yard = 3 feet]

We are given with the cost of concrete equal to $98 per cubic yard. Paul needs is $108.89. Hence the cubic yard is equal to  $108.89/ $98 per cubic yard or 1.1111 cubic yards. 1.1111 cubic yards is equal to 30.0024 cubic feet. From the given, 12 feet long length and 0.5 feet height, we get the width equal to 30.0024 cubic feet/12 feet/0.5 feet or 5 feet. The width needed is 5 feet.

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