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mihalych1998 [28]
2 years ago
7

A right triangular prism has a height of 26 cm and base edges of 10 cm, 24 cm, and 26 cm. What is the lateral area of the prism?

Mathematics
1 answer:
horrorfan [7]2 years ago
3 0
The lateral area is 1560 cm².

The lateral area is the area of the lateral faces (the faces that are not bases).  The dimensions of these are:
24 by 26
10 by 26
26 by 26

These are all rectangles.  The area of each rectangle is given by length * width:
24*26 = 624
10*26 = 260
26*26 =676

624+260+676=1560
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( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

4 0
2 years ago
Determine the domain of the following graph
Lunna [17]

Answer:

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Step-by-step explanation:

The domain are the x-values of every point in your graph. Since it a continuous domain, it'll be represented with ≥. Your two extremities are -3 and 9. Therefore, your domain is -3 ≥ x ≥ 9.

8 0
3 years ago
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