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Lunna [17]
3 years ago
5

Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=

l•w•h, where the l is the length, w is width and h is height, to find the volume.
Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

The volume = 5x^{5}+4x^{4}+x^{3}

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = 5x^{5}+4x^{4}+x^{3}

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Tanya is printing a report. There are 100 sheets of paper in the printer, and the number of sheets p after t minutes of printing
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2 years ago
(02.01)Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 deg
yarga [219]

Answer:

50°

Step-by-step explanation:

Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.

If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.

If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°

4 0
3 years ago
Please help!!<br> (This is Algebra 1!)
yKpoI14uk [10]

Answer:

$242.78

Step-by-step explanation:

Given :

Room cost for 1 night = $199

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Tax for room for 1 night = 0.22 x $199 = $43.78

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5 0
3 years ago
Which equation is correct regarding the measure of ∠MNP?
Evgen [1.6K]

Answer:

The measure of anle MNP is

  • m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.

Then, you can use the theorem:

  • the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:

  • m ∠ MNP = (x - y)/2

6 0
2 years ago
Read 2 more answers
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