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Rudik [331]
2 years ago
9

A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side

length.
What is the lateral area of the prism?

12x square inches
12x2 square inches
36x square inches
36x2 square inches
Mathematics
1 answer:
crimeas [40]2 years ago
5 0

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

#SPJ1

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Zigmanuir [339]

Answer:

\frac{x-22}{(x+2)(x-4)}

Step-by-step explanation:

multiply the numerator/denominator of the first fraction by (x - 4)

multiply the numerator/denominator of the second fraction by (x + 2)

this ensures that the fractions have a common denominator

\frac{4}{x+2} - \frac{3}{x-4}

= \frac{4(x-4)}{(x+2)(x-4)} - \frac{3(x+2)}{(x+2)(x-4)} ← subtract numerators leaving the common denominator

= \frac{4x-16-3x-6}{(x+2)(x-4)}

=\frac{x-22}{(x+2)(x-4)}

4 0
2 years ago
Help help math math
Anni [7]

Answer:

C=31.41592654

Step-by-step explanation:

C=2πr

r=5

C=2π(5)

Therefore C= 10π or C=31.41592654

6 0
2 years ago
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vladimir1956 [14]

(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]

= [{5^(x+1+x)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1)}/{6×5^x}]

= [{5^(2x+1-x)}/6]

= [{5^(x+1)}/6]Ans.

(c). 4a³b²

= 4(3)³(-2)²

Since, a = 3 and b = -2.

so,

= 4(3*3*3)(-2*-2)

= 4(27)(4)

= 108(4)

= 432Ans.

<u>also</u><u> </u><u>read</u><u> similar</u><u> questions</u><u>:</u> simplify 6/x-6+3x/x+5-1/(x-6)(x+5)..

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simplify the equation simplify x^5/8/x^1/6..

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From net earnings of $740 per month for the rent on an apartment she says the two friends what percent of income is her rent pay
Gwar [14]
<span>$200 / $740 *100% = 27%

</span>
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3 years ago
What is the difference between 6204 and 5735​
Step2247 [10]

Answer:

469

Step-by-step explanation:

  1. Difference = subtraction
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I hope this helps!

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3 years ago
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