You’ve arrived at your apartment, but before you can set up your furniture, you need to paint!. The dimensions of the living room are 20ft x 15ft x 8 ft. You need to paint all 4 walls and the ceiling. You will need to paint two coats and each gallon of paint covers 400 square feet. Calculate the total surface area that needs to be painted and how many cans of paint are needed.

Total surface area to be painted: _

Amount of paint cans needed: _

20ft(length) 15ft(width) 8ft(height) *dont paint the floor!

Determine how many paint cans will be needed by using the surface area
*1 gallon = 400 square 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

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