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slega [8]
2 years ago
10

Find the volume of the trapezoidal prism

Mathematics
1 answer:
malfutka [58]2 years ago
4 0

Answer:

228 in³

Step-by-step explanation:

<u>Volume of a trapezoidal prism</u>

  • V = Area x height

<u>Finding Base Area (on the side here)</u>

  • A = 1/2 x (a + b) x h
  • A = 1/2 x (12 + 7) x 6
  • A = 3 x 19
  • A = 57 in²

<u>Volume</u>

  • V = A x h
  • V = 57 x 4
  • V = 228 in³
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Twice a number is 12 more than 5 times the number.
stira [4]

Answer:

  • -4

Step-by-step explanation:

<u>Let the number be x:</u>

  • 2x = 5x + 12
  • 2x - 5x = 12
  • -3x = 12
  • x = -4

It is -4

5 0
3 years ago
The graph of a function f is shown below.<br> Find f (2) and find one value of x for which f(x) = -4
nadya68 [22]

Answer: a: -2, b: 0

Step-by-step explanation:

f(2) means that x=2, and we need to solve for y.

On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.

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On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.

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3 years ago
Read 2 more answers
-4x - 6x = -20 =?<br><br> -3(2x - 3) = 33 = ?<br><br> 4x + 3x + 2x = 180 = ?
postnew [5]

Answer:

-4x-6x=-20=

x=2

-3(2x-3)=33=

x=-4

4x+3x+2x=180

x=20

Step-by-step explanation:

-4x-6x=-20                                

-4+(-6)=-10x

-10x=20 (divide both by 10)

x=-2 (divide by -1 to get positive)

x=2

-3(2x-3)=33

-6x+9=33

     -9 .  -9

-6x=24 (divide both by -6)

x=-4 (divide by -1 to make positive)

4x+3x+2x=180

(combine like terms)

9x=180 (divide both sides by 9)

x=20

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3 years ago
In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon
mote1985 [20]

if we name that part x, then we can say

1/x = 1/a + 1/b

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4 years ago
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