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Setler [38]
3 years ago
15

The volume of a rectangular prism is (x{3} – 3x{2} + 5x – 3), and the area of its base is (x{2} – 2). If the volume of a rectang

ular prism is the product of its base area and height, what is the height of the prism?
Mathematics
2 answers:
ikadub [295]3 years ago
7 0

Answer:

A)x-3 + 7x-9/x^2-2

Step-by-step explanation:

Gemiola [76]3 years ago
6 0

Answer:

x³ - 3x² + 5x - 3 / x² - 2

Step-by-step explanation:

Given in the question,

volume of a rectangular prism = x³ - 3x² + 5x - 3

base area of a rectangular prism = x² - 2

Formula for the volume of prism

V = BA x H

here BA is base area

         H is height

Formula for the height of prism

H = V / BA

plug values in the formula

x³ - 3x² + 5x - 3 / x² - 2

We will do long division

           x - 1

          ----------------------------

x² - 2 | x³ - 3x² + 5x - 3

           x³ - 2x²

           ---------------------------

                 -x² + 5x - 3

                 -x²         + 2

                  ----------------------

                         5x - 5  

The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.

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Stella [2.4K]
I thinks its B




p.s. spread le cheese ⌂
4 0
3 years ago
HELP URGENT. The following sphere has a diameter of 18 cm. What is the volume of the sphere? Use 3.14 for and round your answer
Trava [24]

The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

<h3>What is the volume of the sphere?</h3>

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

  • Diameter of the sphere d = 18cm
  • Radius r = d/2 = 18cm/2 = 9cm
  • Constant pi π = 3.14
  • Volume V = ?

V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

#SPJ1

6 0
2 years ago
I put the picture attached
Phantasy [73]

Answer:

120 square inches

Step-by-step explanation:

4 0
3 years ago
3/4-1/12 subtract and simplify
mars1129 [50]

Answer:

2/3

Step-by-step explanation:

Simplify the following:

3/4 - 1/12

Put 3/4 - 1/12 over the common denominator 12. 3/4 - 1/12 = (3×3)/12 - 1/12:

(3×3)/12 - 1/12

3×3 = 9:

9/12 - 1/12

9/12 - 1/12 = (9 - 1)/12:

(9 - 1)/12

9 - 1 = 8:

8/12

The gcd of 8 and 12 is 4, so 8/12 = (4×2)/(4×3) = 4/4×2/3 = 2/3:

Answer:  2/3

5 0
3 years ago
M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ
Elenna [48]
2(x+3)= 3x-1
2x+6=3x-1
X=7
Therefore
YM = 7+3= 10
And by definition of midpoint YM=MZ so MZ=10
3 0
3 years ago
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