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3 years ago

Find the volume of the rectangular prism. Express your answer as a simplified mixed number.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

414 9/16 m³

$414\frac{9}{16}m^{3}$

Step-by-step explanation:

The volume of a Rectangular prism is calculated as Length × Width × Height

From the attached diagram,we can see that

The length = 8 3/8 m

The width = 6 m

The height =8 1/4 m

Converting the mixed fraction to improper fraction in other to simplify it better

The length = 67/8 m

The height = 33/4 m

The volume of the rectangular prism =

67/8 m × 6m × 33/4m

= (13266/32)m³

= 6633/16 m³

= 414 9/16 m³

= $414\frac{9}{16}m^{3}$

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5. Solve the system of equations by graphing. y = -x + 2 3x + 3y = 6

Gelneren [198K]

Answer:

The system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

Explanation:

Given the system of equations;

$\begin{gathered} y=-x+2 \\ 3x+3y=6 \end{gathered}$

Plotting the two equations using a graph calculator we have;

From the graph, we can observe that the line of the two equations fall on each other.

That means that the equations are the same.

Therefore, the system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

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10 months ago

Let S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die

ExtremeBDS [4]

Answer:

Step-by-step explanation:

given that S be the set of outcomes when two distinguishable dice are rolled, let E be the subset of outcomes in which at least one die shows an even number, and let F be the subset of outcomes in which at least one die shows an odd number

E = atleast one shows even number

i.e. both cannot show odd number

So elements of E are

E ={(1,2) (1,4) (1,6) (2,1) (2,2) (2,3) (2,4)( 2,5) (2,6) (3,2) (3,4) (3,6) (4,1) (4,2) (4,3) (4,4( 4,5) (4,6) ,5,2) (5,4) (5,6) (6,1) (6,2) (6,3) (6,4( 6,5) (6,6) }

F = atleast one die shows odd

F={(1,1) (1,2) (1,3), (1,4)(1,5) (1,6) (2,1) (2,3) ( 2,5) (3,1) (3,2) (3,3) (3,4)( 3,5) (3,6) (4,1) (4,3) (4,5) (5,1) (5,2) (5,3)(5,4) (5,5) (5,6) (6,1) (6,3)( (6,5) }

3 0

3 years ago

Answer soon please!

ch4aika [34]

Answer:

Step-by-step explanation:

AP is not congruent to PB

4 0

3 years ago

Read 2 more answers

The first equation from the previous system of

Lunna [17]

Answer:

(3,-2)

Step-by-step explanation:

4 0

2 years ago

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

zysi [14]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

8 0

2 years ago