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Vaselesa [24]
4 years ago
8

HELP!! Simplify the expression 3y^2 • 4x^2y • 5x Using the laws of exponents. Show each step of your work.

Mathematics
1 answer:
JulsSmile [24]4 years ago
5 0
<span>3y^2 • 4x^2y • 5x = (3*4*5) * (</span><span>y^2 * y) * (</span><span>x^2*x) = 60 * y^3 * x^3 = 60 (xy)^3


</span>where ((<span>y^2 * y)) adding the powers in case of multiplication

and also for this:</span><span> (<span>x^2*x)</span>  </span>
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Answer:

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Step-by-step explanation:

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Follow the steps

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Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(
GenaCL600 [577]

Corrected Question

The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.

The area of one triangular face is 7.5,8.125,15,or 17  mm^2

The surface area of the triangular prism is 55.5,127.5,135,or 150  mm^2

Answer:

(B)2 triangular faces

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(C)Total Surface Area of the Triangular prism =135mm^2

Step-by-step explanation:

The triangular prism is attached.

The triangular prism shown has 2 triangular faces and 3 lateral faces.

Base of the triangle =2.5mm

Height of the Triangle =6mm

Area of one Triangular Face =\frac{1}{2}*6*2.5=7.5mm^2

The dimensions of the lateral rectangles are:

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  • 6 mm by 8mm
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Therefore, total surface area of the triangular prism

=2(Area of one Triangular Face)+Area of 3 rectangular faces

=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2

Total Surface Area of the Triangular prism =135mm^2

8 0
3 years ago
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