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Aliun [14]
2 years ago
5

A package is in the shape of a triangular prism. The bases are right triangles with perpendicular legs measuring 9 centimeters a

nd 12 centimeters. The distance between the bases is 10 centimeters.
What is the surface area of the triangular prism?
Mathematics
2 answers:
IgorLugansk [536]2 years ago
7 0
We compute for the surface area of the triangular prism by the adding the areas of the bases and the sides. There are two triangles and the areas will be,
                              A = 2 (1/2)(9 cm)(12 cm) = 108 cm²

There are three sides which are in rectangular shape.
                               A1 = (10)(12) = 120 cm²
                               A2 = (10)(9) = 90 cm²
                               A3 = (10)(15) = 150 cm²

The sum of these areas is 468 cm². 
Diano4ka-milaya [45]2 years ago
4 0

Answer :

468 cm^2 On edg

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Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

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6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = 2\pi rL

Area of the parts that cover the open parts of cylinder = 2\pi r^2

Therefor Total are of the cylinder = 2\pi rL+2\pi r^2

Area of the total cylinder = 2*3.14*6.8*14.2+2*3.14*6.8^2

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<u>Therefor best estimate will be D) 923 in^2</u>


Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

(AC)^2+(CB)^2=(AB)^2

The distance from A to C = 6

The distance from C to B = 5

(AC)^2=6^2=36

(CB)^2=5^2=25

(AC)^2+(CB)^2=(AB)^2=36+25=61

Therefor (AB)^2=61\\(AB)=\sqrt{61}

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Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =\frac{1}{2} *(110+40)*110=8250

Area of the Store 2=\frac{1}{2} *110*80=4400

Therefore Revenue from Store 1 = $8250

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Answer for Question 4

\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

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Then it has to be \frac{115}{264} =0.4356

<u>Answer is B)</u>


Answer for question 6

The equation of a straight line is of the form y=mx+c

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\frac{7}{8} =0.875

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