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stealth61 [152]
3 years ago
7

A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured

into a different cylinder that has a radius of 333 cm. What will the height of the liquid be in the new cylinder?
Mathematics
1 answer:
barxatty [35]3 years ago
8 0
The height will be 4 cm.

Explanation
<u />The volume of a cylinder is given by the formula V=πr²h.  For a volume of 36π cm³ and a radius of 3 cm,

36π = π(3²)h
36π = 9πh

Divide both sides by 9π:
36π/9π = 9πh/9π
4 = h
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Rufina [12.5K]

Answer:

144 cubic inches

Step-by-step explanation:

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2 years ago
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A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft
aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

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Breadth of rug = 15-2x

Area of rug = (10-2x)(15-2x)  

We are given that the area of the rug is 24 square feet.

So,  (10-2x)(15-2x)=24 ---A

150-20x-30x+4x^2=24

150-24-50x+4x^2=0

126-50x+4x^2=0

2(x-9)(2x-7)=0

x=9,\frac{7}{2}

x=9,3.5

Substitute x =9 in A

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24=24

LHS = RHS

Substitute x = 3.5

(10-2(3.5))(15-2(3.5))=24

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LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

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3 years ago
ANWSER these three questions show ur work, if u can is somewhat optional
Airida [17]

Answer:

1. 35            2. 565.5         3. 12.28

Step-by-step explanation:

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<em>Took a long time- Please give Brainliest and points!</em>

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2 years ago
The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9
Soloha48 [4]

Answer:

The z score for the airplane arriving 13 minutes after arrival time is 0.33

Step-by-step explanation:

Using normal distribution,

The average lateness for one of the top airline companies is 10 minutes. So our mean, u = 10

The variance, s of the lateness measure is calculated as 9.

x =13 which stands for arrival time.

Using normal distribution,

z = (x - u)/s

z = (13 - 10)/9 = 3/9 = 0.33

The z score for the airplane arriving 13 minutes after arrival time is 0.33. The probability value of the z score can be found by looking at the Normal distribution table

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2 years ago
Complete the table of values for y=2xsquared+x
hodyreva [135]

The solution of y= 2x^{2} +x given as:

x:   0      1       2       3

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A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

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The required table is:

x:   0      1       2       3

y:   0      3      10      21

Learn more about linear equation here:

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