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.

1260=3*6*7*10=3^2*2^2*7*5 perfect cude = 3^3*2^

step-by-step explanation:

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.