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Zanzabum
4 years ago
5

A regular triangular pyramid with a slant height of 9 m has a volume equal to 50 m^3. find the lateral area of the pyramid

Mathematics
1 answer:
Cerrena [4.2K]4 years ago
8 0

we are given a regular triangular pyramid with a slant height of 9 m and volume of 50 m3. We can get the altitude of the pyramid by sin 60 = h / 9; h is equal to 7.7942 m. Volume is equal to 1/3 h * B, B is equal to 19.2451 m2. perimeter of the base is 3*9 m equal to 27 meters. The lateral area has  a formula of 1/2 pl, substituting, lateral area is equal to 121.5 m2. 
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4 years ago
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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11

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3 years ago
The mean of the data set(9,5,y,2,x)is twice the data set (8,x, 4,1,3).What is (y-x)
pantera1 [17]

Answer:

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Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u>Step(i)</u>:-

Given data set A  is  9,5,y,2,x

<em>Mean of the Data set A </em>

<em>                          =   </em>\frac{9 + 5 + y + 2 +x}{5}<em></em>

<em>                          = </em>\frac{16 +x+y}{5}<em></em>

<em>Given data set B is 8, x, 4, 1, 3</em>

<em>Mean of the Data set B </em>

                         =   \frac{8+ x+4+1+3}{5}

<u><em>Step(ii):-</em></u>                          

<em>Mean of the Data set A  = 2 X Mean of the Data set B </em>

<em>               </em>\frac{16 +x+y}{5} =  2 X \frac{16+x}{5}<em></em>

<em>On simplification , we get</em>

           16 +x + y = 2( 16 +x)

           16 + x + y = 32 + 2 x

            16 + x + y - 32 - 2 x = 0

            y - x -16 =0

           y - x = 16

5 0
3 years ago
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