There is a brick grill in the backyard, Bob and Carol are going to make a concrete patio in the shape of a trapezoid next to the grill. The concrete slab needs to be at least 2 inches thick. They will use 40 pound bags of premixed concrete. Each 40-pound bag makes 0.30 cubic feet of concrete and costs $6.50. How much will the materials cost, including the 7.5% tax?

  $48.91

Step-by-step explanation:

The area of the patio is given by the area formula for a trapezoid:

  A = (1/2)(b1 +b2)(h)

  A = (1/2)(2 +6)(3) = 12 . . . . square feet.

If the slab is 2 inches thick, the volume is ...

  V = Bh = (12 ft²)(2 in/(12 in/ft)) = 2 ft³

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The number of bags required will be ...

  (2 ft³)/(0.3 ft³/bag) = 6 2/3 bags

We assume that only whole bags can be purchased, so the project will require (at least) 7 bags of premixed concrete.

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The cost for 7 bags is ...

  (7 bags)($6.50/bag)(1 +7.5%) = $45.50×1.075 ≈ $48.91

The material cost for the concrete mix will be $48.91.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.