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Paladinen [302]
3 years ago
6

What is the volume of the triangular prism? A) 12 cm3 B) 18 cm3 C) 24 cm3 D) 48 cm3

Mathematics
2 answers:
Mama L [17]3 years ago
5 0

Answer: i need to know what the base height is for a, b, and c and the height of the triangular prism

Step-by-step explanation:

Monica [59]3 years ago
3 0

Answer:

A=base side= 12 cm3

B=base side = 18 cm3

C=base side= 24cm3

D=height= 48 cm3

Step-by-step explanation:

V=1/4h\sqrt-a4+2(ab)2+2(ac)2 -b4+2(bc)2 -c4

=1/4 *48\sqrt174960

= 5019.386 cm3

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HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair
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A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form a
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The <em><u>correct answer</u></em> is:

3 inches.

Explanation:

We will use the Rational Roots Theorem to solve this.

First we can divide both sides of the equation by 4 in order to simplify it:

\frac{4x^3-72x^2+320x}{4}=\frac{420}[4} \\ \\x^3-18x^2+80=105

In order to solve this, we want the polynomial set equal to 0. To do this, subtract 105 from both sides:

x^3-18x^2+80x-105=105-105 \\x^3-18x^2+80x-105=0

The Rational Roots Theorem says that if p/q is a root of the polynomial, then p is a factor of the constant term and q is a factor of the leading coefficient. The constant term is -105. Drawing a factor tree, we find that the factors of this number are 1, -1, 3, -3, 5, -5, 7, -5, 15, -15, 21, -21. The leading coefficient is 1; its only factor is 1. This means p/q must be a whole number, and can be any of the factors of 105.

Using synthetic division, we try 1 in the box:

<u>1 |</u> 1 -18 80 -105

_______<u> 1</u>__<u> -17</u>___<u>63</u>__

1 -17 63 -42

Since there is a remainder, this is not a root. Trying -1,

<u>-1 |</u> 1 -18 80 -105

_______<u>-1</u>__<u> 19 </u>_<u>-99</u>_

1 -19 99 -204

This is not a root; in fact, it shows us that none of the negatives will be a factor, as the absolute values increase as we complete the synthetic division.

Trying 3,

3 | 1 -18 80 -105

________<u>3</u>__<u>-45</u>___<u>105</u>_

1 -15 35 0

Since there is no remainder, 3 is a root, and is the answer we are looking for.

3 0
3 years ago
Read 2 more answers
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