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bekas [8.4K]
3 years ago
14

PLEASE PLEASE HELP

Mathematics
2 answers:
Sophie [7]3 years ago
8 0

my friend she can help u

UNO [17]3 years ago
3 0

Answer:

First we want to calculate the volume of the rectangular prism and subtract it from the triangular prism.

Volume of Rectangular Prism:

Let V1 be the volume of the rectangular prism.

V1 = base * height * length.

The base and the height are both 1.7, but the length is the same length of the triangular prism, which is 4. Thus:

V1 = 1.7 X 1.7 X 4

V1 = 11.56 cubic units

Volume of Triangular Prism:

Let V2 be the volume of the triangular prism:

V2 = (base X height X length) / 2

V2 = (5 X 5.7 X 4)/2

V2 = 57 cubic units.

Now we find the total volume. Let Vt be the total volume. The total volume is the shaded minus the unshaded. Thus:

Vt = V2 - V1

Vt = 57 cubic units - 11.56 cubic units

Vt = 45. 44 cubic units

Therefore the volume of the shaded region is 45.44 cubic units.

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What is an equation of the line that passes through the point (-7, -6) and is parallel to the line x-y=7?
Alex_Xolod [135]

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For two lines to be parallel their slopes must be equal. For two lines to be perpendicular their slopes must be the negative reciprocal of each other.

Step 1 Find the slope of the equation.

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The slope-intercept form y = mx + b can once again be used.

x = -7, y =-6, and slope or m = 1

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