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3 years ago

Use the figure to name the following terms.

Mathematics

1 answer:

Sholpan [36]3 years ago

5 0

Answer:

1. Three collinear points are R, X, and Q

2. Plane V is a quadrilateral

3. The three segments are PQ, RX, and XQ

4. The two rays are Xr and QS

5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ

Step-by-step explanation:

1. Collinear points are points that lie in or can be located on the same line

2) A quadrilateral is a four sided two-dimensional shape

3) A line segment is a line portion between two end points

4) A ray is a line with one end point that extends to infinity in a direction

5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.

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3 years ago

A tank's length is 3 feet longer than its width. The height is 1 foot less than the width. The volume of the tank is 160 cubic f

Ivanshal [37]

Answer:

The width of the tank is <u>5 feet</u>.

Step-by-step explanation:

Given:

A tank's length is 3 feet longer than its width.

The height is 1 foot less than the width.

The volume of the tank is 160 cubic feet.

Now, to find the width of the tank.

Let the width of the tank be $x.$

So, length is $x+3.$

And, height is $x-1.$

The volume of tank = 160 cubic feet.

Now, to get the width we put formula:

Volume = length × width × height.

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$160 =x(x^2-x+3x-3)$

$160=x(x^2+2x-3)$

$160=x^3+2x^2-3x$

<em>Subtracting both sides by 160 we get</em>:

$0=x^3+2x^2-3x-160$

$x^3+2x^2-3x-160=0$

Now, on solving the equation we get:

$x=5.$

The width = 5 feet.

Therefore, the width of the tank is 5 feet.

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4 years ago

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