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navik [9.2K]
3 years ago
7

Please give me the answer to this. iif you give me it, i will give you 20 points

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0

Volume is  area of the triangular part x length.

Area of triangle = 1/2 x base x height  = 1/2 x 6 x 4 = 12 square feet.

Volume = 12 x 8 = 96 cubic feet.

Surface area = area of two triangles ( front and back ) , which we calculates the area of one in Part A, plus the surface area of the two sides plus the area of the bottom:

Area of two triangles = 12 x 2 = 24 square feet.

Area of one side = 5 x 8 = 40 square feet

Area of two sides = 40 x 2 = 80 square feet.

Area of bottom = 6 x 8 = 48 square feet.

Total surface area = 24 + 80 + 48 = 152 square feet.

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Inequalities are used to show the relationship between unequal expressions

  • <em>The set notation of (5) and (6) are: </em>\{x : -6 > x \ge -2\}<em> and </em>\{x:-4 < x \ge 6\}<em>.</em>
  • <em>See attachmen</em>t for the graphs

The following should be notated when plotting the graph of an inequality

  • < and > are represented with open circles, while \leq and \geq are represented with closed circles
  • The arrows of and \le point to the left, while the arrows of > and \geq point to the right.

So, we have:

(a)\ -8 < x

Rewrite as:

x > -8

The graph of x > -8 will point to the right, and it will use an open circle

(b)\ -6 > x \ge -2

Split the inequality:

-6 > x and x \ge -2

<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>

<em />

Hence. -6 > x \ge -2 cannot be represented on a graph

(c)\ -4

Split the inequality:

-4 < x and x \ge 6

-4 < x means that -4 is less than x or x is greater than -4.

So, we have:

x > -4 and x \ge 6

If x > -4 and x \ge 6, then we make use of x > -4 because it contains more values of x.

The graph of x > -4 will point to the right, and it will use an open circle

Read more about inequalities at:

brainly.com/question/11612965

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Step-by-step explanation:

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