Answer:
18
Step-by-step explanation:
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If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.
<h3>How to calculate the volume of a pyramid.</h3>
Mathematically, the volume of a pyramid is given by the formula:

<u>For the </u><u>base area</u><u>:</u>
The area of a right triangle is given by:

A = 54 square units.
<u>Given the following data:</u>
Volume of a pyramid = 234 units.
Side lengths of right triangle = 9 and 12 units.
Now, we can calculate the height of the pyramid:

h = 13 units.
Read more on pyramid here: brainly.com/question/16315790
Answer:
3 -1 -2
5 1 6
Step-by-step explanation:
An augmented system has the coefficients for the variables and then the solution going across
Rewriting the equations to get them in the form
ax + by = c
-3x+y =2
3x-y =-2
5x+y = 6
The matrix is
3 -1 -2
5 1 6
<h2><u>In total, she will need $98.34 to pay all of the foods she plans to serve at the party.</u></h2>
All of the work:
<em>How to solve the amount of pizza she needs:</em>
20 x 3 = 60
60 divided by 10 = 6
<em>How to solve the amount of soda bottled needed:</em>
20 x 16 = 320
320 divided by 64 = 5
<em>How to solve the number of pans she needs:</em>
20(2 x 3) = 40 x 60
40 x 60 divided by 8 x 12 = 5
<h2>
THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.</h2>
<em>Number of pizza she needs:6 pizza, costs $77.94</em>
<em>Number of soda bottles she needs:5 bottles, costs $8.45</em>
<em>Number of pans she needs:5 pans, costs $11.95</em>
<em>Add 77.94, 8.45, and 11.95 and get 98.34</em>