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Anton [14]
3 years ago
10

The volume of the triangular prism is 54 cubic units.

Mathematics
1 answer:
OverLord2011 [107]3 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

Given:

  • The volume  of the triangular prism : 54 cubic units
  • The base length: 4 unit
  • The height of the base: x
  • The height of the prism : 3x  

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x  = 54

<=> x^{2} = 9

<=> x = 3

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Step-by-step explanation:

5 0
3 years ago
22 Your answer is INCORRECT In triangle ABC, an exterior ange at C measures 120 and mLA = 70. which is the shortest side or the
Snezhnost [94]

Answer:

  b)  AC

Step-by-step explanation:

Exterior angle C is the sum of interior angles A and B. If angle A is 70, then angle B is 120-70 = 50. Angle C is the supplement of its exterior angle, so is 180-120 = 60.

The smallest angle is B, so the opposite side, AC, is the shortest side.

8 0
3 years ago
40. Resuelve la siguiente operación.
Naddik [55]

Option B is correct. The required expression on expansion of 20х-[2х -(х+2)-(6-x 2 )-(28 +x+x2]  is 20x + 36

Expressions are function that does not include "equal" sign

Given the expression

20х-[2х -(х+2)-(6-x² )-(28 +x+x2]

Expand and collect the like terms

= 20х-[2х -х-2-6+x² -28 - x - x²]

= 20x - [x - 8 + x²  - 28 - x - x² ]

x and x² cancels out from the expression to have

= 20x - [- 8 - 28]

= 20x -(-36)

= 20x + 36

Hence the required expression on expansion is 20x + 36

Learn more here: brainly.com/question/12293021

7 0
3 years ago
Read 2 more answers
If T(n) = 4n-1, what is the 3rd term
schepotkina [342]
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The answer to this question is D
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