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mart [117]
3 years ago
14

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

43.638 cubic meters

Step-by-step explanation:

The triangular prism has 5 faces - 3 rectangular and 2 congruent triangular. Calculate the area of each face then add them together to find the surface area.

The triangles are 5.3 by 1.26 so the area of the two is 6.678.

The largest rectangle face is 5.3 by 3.3 so the area is 5.3*3.3 = 17.49.

The side rectangle face that is 3.3 by 3.6 so the area is 3.3*3.6 = 11.88.

The side rectangle face that is 2.3 by 3.3 so the area is 2.3*3.3 = 7.59.

Add all the areas together.

6.678 + 17.49 + 11.88 + 7.59 = 43. 638

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What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12
ozzi

Answer:

<h2><em>2x-4</em></h2>

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12  = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

S

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

= 2(4x(x-2)+3(x-2))

= 2(4x+3)(x-2)

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

Width = 2x-4

<em>Hence the width of the rectangle is 2x-4</em>

8 0
2 years ago
Please explain to me what the Law Of Syllogism is. 100pts... Explain it well please...
3241004551 [841]
The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.

Hope this helps and have a nice day!
7 0
2 years ago
Read 2 more answers
Write an inequality that expresses the range in the volume of acceptable tennis balls.
Rudik [331]

Answer:

the smallest number is the lower bound and the largest number is the upper bound, your inequality would be

8.2 ≤ x ≤ 9.5, where x represents the volume of tennis balls.

4 0
3 years ago
Factor the expression completely.
evablogger [386]

Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

6 0
3 years ago
Show how to make a ten to solve 13-7. Write the number sentence
Lady_Fox [76]
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</span>
6 0
3 years ago
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