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alexandr1967 [171]
3 years ago
10

Calculate the surface area of a triangular prism. It has an isosceles triangle face with a base of 4 m and a height of 3 m. The

length of the prism is 9 m.

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

48 + 18√13 cm²

Step-by-step explanation:

HC = BC/2 = 4m/2 = 2 m

AC = √AH² + HC² = √9 + 4 = √13

A = 2×A(ABC) + 2×A(ACFD) + A(BCFE)

= 2×AH×BC/2 + 2×AC×CF + BC×CF

= 2×3×4/2 + 2×√13×9 + 4×9

=12 + 18√13 + 36

= 48 + 18√13 cm²

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Answer:

2. Alex sent the questionnaire only to those who live near her.

Step-by-step explanation:

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We can see that Alex sent the questionnaire to only her neighbors or people who live near her, so this will be the reason the sample will be biased.

4 0
3 years ago
5 = a(6 – 5)2 + 3 what is a
VladimirAG [237]

a(6-5)2+3=5

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8 0
3 years ago
Someone please help I don’t understand this please
sdas [7]

The fraction of the image in blue with respect to the <em>entire</em> hexagon is \frac{1}{3}.

<h3>Estimation of the ratio of the shaded region area to the entire area</h3>

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

A_{1} = A_{2} (1)

Where:

  • A_{1} - Area of a type-1 triangle.
  • A_{2} - Area of a type-2 triangle.

The formulae for the area of the shaded region (A_{s}) and the <em>entire</em> hexagon (A_{h}) are, respectively:

<h3>Shaded region</h3>

A_{s} = 2\cdot A_{1} + 4\cdot A_{2} (2)

<h3>Entire hexagon</h3>

A_{h} = 8\cdot A_{1} + 10\cdot A_{2} (3)

And the fraction of the image in blue is:

\frac{A_{s}}{A_{h}} =  \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}}

\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A}

\frac{A_{s}}{A_{h}} = \frac{1}{3}

The fraction of the image in blue with respect to the <em>entire</em> hexagon is \frac{1}{3}. \blacksquare

To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236

6 0
3 years ago
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ruslelena [56]
Answer- 3.28125
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4 0
3 years ago
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80 girls and boys have planned for a movie they are any ratio of 6 girls to two boys how many girls are there
inn [45]
This scenario can be expressed by the equation 6x + 2x = 80
first, add 6x and 2x because they are like terms
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divide both sides and we know that x = 10.
so, put 10 back into the original equation:
6(10) + 2(10) = 8
There are 60 girls and 20 boys :)
3 0
3 years ago
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