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andreev551 [17]
4 years ago
11

The surface area of the rectangular prism can be found using the expression 6x exponent 3 + 4x exponent 2 + 12x. if the value of

x is 3, what is the surface area, in square centimeters of the prism?
Mathematics
1 answer:
kupik [55]4 years ago
7 0

Answer:

234 cm²

Step-by-step explanation:

Given expression to represent the surface area of the rectangular prism is 6x^{3} +4x^{2} +12x

The given value of x is 3.

Now, finding value of expression by sustituting value of "x" as given.

Surface area of the rectangular prism = 6x^{3} +4x^{2} +12x

Surface area of the rectangular prism= 6\times 3^{3} +4\times 3^{2} +12\times 3

∴ Surface area of the rectangular prism= 6\times 27+ 4\times 9+ 12\times 3

Surface area of the rectangular prism= 162+36+36= 234\ cm^{2}

∴ Surface area of the rectangular prism= 234 cm²

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Answer:

x=55

Step-by-step explanation:

x/5=11

11x5=55

x=55

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A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains
Tju [1.3M]

Answer:

(E) 29.0

Step-by-step explanation:

If a tag is drawn at random from each box, the expected value of the sum of the tags is the sum of the expected values for each tag.

The expected value for each tag is the mean value of the numbers in its box.

EV = \frac{1+2+3+4+5+6+7+8+9+10}{10} +\frac{20+21+22+23+24+25+26+27}{8} \\EV = 5.5 +23.5\\EV= 29

The expected value of the sum of the numbers on the two selected tags is 29.

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3 years ago
Solve the equation by taking the square root 4(x+1)^2=100
Naddika [18.5K]

Answer:

Step-by-step explanation:

4(x+1)²=100

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3 years ago
3.152 repeating into a improper fraction
LenaWriter [7]

3  19/125

You can take any number, such as 3.152, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

3.152 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 3.152, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:

3152 / 1000

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 3152 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following:

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3 years ago
If the dimensions of the following cylinder are doubled, what will be the surface area of the new cylinder? 1,406.72 in. 2 2,813
ryzh [129]

Based on the calculations, the surface area (SA) of a cylinder is equal to: B.  2,813.44 in.²

<h3>How to calculate surface area of a cylinder?</h3>

Mathematically, the surface area (SA) of a cylinder can be calculated by using this formula:

SA = 2πrh + 2πr²

<u>Where:</u>

  • h is the height.
  • r is the radius.

The dimensions of this new cylinder would be equal to:

Radius = 8 × 2 = 16 in.

Height = 6 × 2 = 12 in.

Substituting the given parameters into the formula, we have;

SA = (2 × 3.14 × 16 × 12) + 2 × 3.14 × 16²

SA = 1,205.76 + 1,607.68

SA = 2,813.44‬ square inches.

Read more on surface area here: brainly.com/question/26396269

#SPJ1

<u>Complete Question:</u>

If the dimensions of the following cylinder are doubled, what will be the surface area of the new cylinder? Radius: 8 in and Height: 6 in.

Group of answer choices.

A. 1,406.72 in.²

B.  2,813.44 in.²

C. 1,607.68 in.²

D. 5,626.88 in.²

7 0
2 years ago
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