Bruce has a rope that us 21 feet long he needs to cut the rope into 1/5 feet long strips how many strips can bruce cut from his rope

105 strips bc since it’s 21 feet long and he wants to cut 1/5 on each strip you just simply divide it:)

We know that 12 inches is a feet so if we divide 12 with 5, we get 2.4

now divide 21 by 2.4 and it will give us 8.75, but that won't work so lets count

2.4:1
4.8:2
7.2:3
9.6:4
12.0:5
14.4:6
16.8:7
19.2:8
21.6:9
it seems that bruce can only make 8 strips of ropes that are 1/5 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