The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation, V - 1.486 42/351/2
p2/3,
Here V is the velocity of the flow in ft/s; A is the cross-sectional area of the channel in square feet; S is the downward slope of the channel; p is the wetted perimeter in feet (the distance from the
top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This
equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A - 875 m2, s - 0.050, p - 64.4 ft, and n - 0.040. (Let
bi - 40ft, b2 - 30 it, h - 25 ft.)
k bz
(a) Find the speed at which water flows through the canal. (Round your answer to three decimal places.)
fus
(b) How many cubic feet of water can the canal discharge per second? (Hint: Multiply V by A to get the volume of the flow per second.) (Round your answer to one decimal place.)

Give all possible names for the line shown.calculation tip: lines can be written with either point first.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

8litres of paint can cover 129.6 m². how much paint is required to paint an area of 243m²?