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rodikova [14]
3 years ago
6

Shaun’s tent (shown below) is a triangular prism. What is the the surface area, including the floor, of his tent?

Mathematics
2 answers:
Arturiano [62]3 years ago
4 0

Answer:

52.8

Step-by-step explanation:

blondinia [14]3 years ago
3 0

Answer:

The surface area of the ten t including the floor is 52.8 m².

Step-by-step explanation:

We are given that,

Shaun's tent consists of 3 rectangles and 2 triangles.

1. The dimensions of the rectangles are 5 × 3 meters.

<h3>Since, Area of the rectangle = Length × Width </h3>

i.e. Area of 3 rectangles = 3 × Length × Width

i.e. Area of 3 rectangles = 3 × 5 × 3 = 45 m²

<em>Thus, area of the 3 rectangles is 45 m².</em>

2. The dimensions of the triangles are base= 3 meter and height= 2.6 meter

<h3>As, Area of the triangle = \frac{1}{2}\times Base\times Height</h3>

i.e. Area of 2 triangles = 2\times \frac{1}{2}\times Base\times Height

i.e. Area of 2 triangles = Base\times Height

i.e. Area of 2 triangles = 3\times 2.6

i.e. Area of 2 triangles = 7.8 m²

Thus, area of 2 triangles is 7.8 m².

<em>So, the total surface area of the prism = Area of rectangles + Area of triangles</em>

i.e. Total surface area = 45 + 7.8 = 52.8 m²

Hence, the surface area of the ten t including the floor is 52.8 m².

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Answer:

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Step-by-step explanation:

This is because 53 times 3 is 159. Sarah has 159 stamps. Subtract 45 from 159 and you will get 123.

7 0
3 years ago
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Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +
CaHeK987 [17]
First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0. 

Once you have an x value which makes y=0, you can start factorizing it. 
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0 
to get 6x2+10x+4 

This can be used to write the polynomial as (x-1)(6x2 +10x+4) 
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Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).

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3 years ago
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I need the answer please
kolbaska11 [484]
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3 years ago
ERROR ANALYSIS In Exercises 39 and 40, describe and
expeople1 [14]

Answer:

39. r = 13.4

40. m = 12

Step-by-step explanation:

39. Given the equation, -0.8 + r = 12.6, to solve for r, the following are the correct steps to take to arrive at the solution:

-0.8 + r = 12.6 (given)

Add 0.8 to both sides of the equation (addition property of equality)

-0.8 + r + 0.8 = 12.6 + 0.8 (this is where the error occurred.)

r = 13.4

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-\frac{m}{3} = -4 (given)

Multiply both sides by 3 (multiplication property of equality)

3*-\frac{m}{3} = 3*(-4)

-m = -12 (this is where the error occurred. This is what we should have at this line/step)

m = 12 (dividing both sides by -1)

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