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VARVARA [1.3K]
1 year ago
7

An oblique prism has trapezoidal bases and a vertical height of 10 units. An oblique trapezoidal prism is shown. The trapezoid h

as base lengths of x and 2 x, and a height of x. The distance between the 2 trapezoid bases is 20. The vertical height of the prism is 10. Which expression represents the volume of the prism? 10x3 cubic units 15x2 cubic units 20x3 cubic units 30x2 cubic units
Mathematics
1 answer:
denis23 [38]1 year ago
5 0

Answer:

volume of trapezoidal prism = 15x^2 cubic units

Step-by-step explanation:

First, area of the trapezoidal bases.

Parallel sides measure x and 2x, for an average of 1.5x.

Height = x

Area of trapezoidal base = 1.5x*x = 1.5x^2

Volume of prism = area base * height

(length does not matter, height does)

= 1.5x^2 * 10 = 15x^2

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A school baseball team raised $810 for new uniforms. Each player on the team sold one book of tickets. There were 10 tickets and
Lena [83]

Answer:

  • 270 tickets were sold
  • not needed: books per player, tickets per book

Step-by-step explanation:

To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

  (total revenue)/(revenue/ticket) = total tickets

  $810/$3 = 270 . . . total tickets

__

None of the other numbers in the problem are needed: books per player (1), tickets per book (10).

3 0
1 year ago
The chance that a positive response is obtained from Chicago for program 1 is %. The chance that a positive response is obtained
sergejj [24]
 the chance of a positive response for Program 2 given that the individual is from Los Angeles is 69.7.
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7 0
2 years ago
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Which expression can be used to find the sum of the polynomials?<br><br>(9 – 3x2) + (–8x2 + 4x + 5)
Wittaler [7]
9-3x2-8x2+4x+5=-11x2+4x+14
5 0
1 year ago
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l
tia_tia [17]

Answer:

<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>

Step-by-step explanation:

Given:

6x+7y=4x+4y.

(  ,-4)

Now, to complete the missing value in the solution to the equation.

<em>As, the equation is:</em>

<em />6x+7y=4x+4y<em />

<em>And, the solution is:</em>

(x,y)=(\ \ ,-4)

Now, solving the equation by putting the value of y=-4 :

6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16\\\\

<em>Adding both sides by 28 we get:</em>

<em />6x=4x+12<em />

<em>Subtracting both sides by </em>4x<em> we get:</em>

<em />2x=12<em />

<em>Dividing both sides by 2 we get:</em>

x=6.

<u><em>Thus, the solution to the equation is (6, -4).</em></u>

Therefore, the missing value in the solution to the equation is <u>6</u>.

4 0
2 years ago
Let x and y be real numbers satisfying 2/x=y/3=x/y Determine the value of x^3
svet-max [94.6K]

Answer:

<h2>64/27</h2>

Step-by-step explanation:

If  x and y be real numbers satisfying 2/x=y/3=x/y, then any two of the equation are equated as shown;

2/x = y/3 ... 1 and;

y/3 = x/y... 2

From equation 1, 2y = 3x ... 3

and from equation 2; y² = 3x ... 4

Equating the left hand side of equation 3 and 4 since their right hand sides are equal, we will have;

2y = y²

2 = y

y = 2

Substituting y = 2 into equation 3 to get the value of x;

2y = 3x

2(2) = 3x

4 = 3x

x = 4/3

The value of x³ will be expressed as (4/3)³ = 4*4*4/3*3*3 = 64/27

8 0
1 year ago
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