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kvasek [131]
3 years ago
12

The rectangular prism shown has a length of 5 cm, a height of 3 cm, and a width of 4 cm. What is the surface area of this prism?

Mathematics
2 answers:
gregori [183]3 years ago
6 0
Https://us-static.z-dn.net/files/d52/0ed5232cf389628324e03d6620e6f407.jpeg

Feliz [49]3 years ago
6 0

Answer: 94 cm2

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

A = 2wl +2 lh+2hw

Where:

A = surface area of a prism

w = width

l= Length

h =height

Replacing with the values given and solving:

A = 2(4x5) +2 (5x3)+2(3x4)

A = 2(20) + 2(15)+ 2(12)

A= 40+30+24

A= 94 square centimeters

Feel free to ask for more if needed or if you did not understand something.

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What is the sum of 90 minutes and 50 minutes? 130 minutes 1 hour, 40 minutes 2 hours 2 hours, 20 minutes
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3 years ago
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Which dimensions can create more than one triangle? A. Three angles measuring 75°,45°, and 60°. B. 3 sides measuring 7, 10, 12?
NeTakaya

This is vague.  Any dimensions that make a triangle can make more than one, just draw another right next to it.  What's really being asked is which dimensions can make more than one non-congruent triangle.

<span>A. Three angles measuring 75°,45°, and 60°.

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<span>B. 3 sides measuring 7, 10, 12?

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3 years ago
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Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3
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Answer:

\frac{12x^4y^4}{3x^2y}=4x^2y^3

Step-by-step explanation:

Consider an element a\neq 0

We know that \frac{a^m}{a^n}=a^{m-n}

Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.

Other Properties of exponents:

a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}

Here, we are required to divide 12x^4y^4 by 3x^2y.

Consider \frac{12x^4y^4}{3x^2y}

We will solve \frac{12}{3}\,,\,\frac{x^4}{x^2}\,,\,\frac{y^4}{y} separately.

Here,

\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3

So, \frac{12x^4y^4}{3x^2y}=4x^2y^3

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