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Elan Coil [88]
3 years ago
6

Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Nine times the original volume

Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

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The price after 33 loses would be 37.59

Step-by-step explanation:

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3 years ago
Here is this question im stuck on.
s344n2d4d5 [400]

The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

<h3>Dividing polynomials</h3>

From the question, we are to divide the given polynomial P(x) by the divisor d(x)

From the given information,

P(x) = x³ + 8

d(x) = x + 2

The division operation is shown in the attachment below.

The quotient, Q(x) = x² -2x + 4

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We area to express P(x) in the form

P(x) = d(x).Q(x) + R(x)

Thus, we get

x³ + 8 = (x+2)(x² -2x + 4) + 0

Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

Learn more on Dividing polynomials here: brainly.com/question/27601809

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8 0
2 years ago
Kim had 120 cards in a box. She gave 6/10 of the cards to Maddy. How many cards did Kim have left in the box?
LUCKY_DIMON [66]
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Which figure shows how a shape can be rotated about an axis to form a hemisphere?
wariber [46]

Answer:

A. (first choice)

Step-by-step explanation:

Examine all options:

A. The diagram shows the arc (1/4 from a circle). While rotating this arc about the given axis, we get the hemisphere.

B. The diagram shows the semicircle (1/2 from a circle). While rotating this semicircle about the given axis, we get the whole sphere.

C. The diagram shows the segment (perpendicular to the axis). While rotating this segment about the given axis, we get the circle (lying in a plane).

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3 years ago
Simplify the expression <br> 6(151/2-3 3/2)=
alekssr [168]

Answer:

426

Step-by-step explanation:

6(\frac{151}{2} - 3\frac{3}{2})

= 453 - 6 * 4\frac{1}{2}

= 453 - 27

= 426

5 0
3 years ago
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