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Otrada [13]
3 years ago
12

Hey Cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feethow much gas can the pressure vessel hold when fu

ll?
Mathematics
2 answers:
Ede4ka [16]3 years ago
6 0

Hey there!!

Shape given - Cylinder

In order to find the amount of gas the vessel can hold, we will have to find the volume of the cylindrical vessel.

How do we find the volume of a cylindrical vessel?

The formula : πr²h

Where ' r ' is the radius and ' h ' is the height.

The height is given by 9 feet.

The diameter is given by 6 feet. This is the tricky part, we will have to use the radius not the diameter.

The diameter = Radius + Radius

6 = radius + radius

6 = 2 × radius

Dividing 2 on both sides

6 ÷ 2 = radius

Hence, the radius is 3 feet.

We have :

Height = 9 feet

Radius = 3 feet

Volume : π ( 3 )² ( 9 )

... π × 9 × 9

... π × 81

... 3.14 × 81

... 254.34 feet³

Hence, the amount could be held in the cylindrical is 254.34

Hope my answer helps!!

AVprozaik [17]3 years ago
6 0

Answer:

81 pi or 254.469004941

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Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
saul85 [17]

Answer:

<em>3n; 2 nickels and 6 quarters</em>

Step-by-step explanation:

"Peggy had three times as many quarters as nickels."

Whatever number of nickels she has, the number of quarters is 3 times as many.

Since she has n nickels, she has 3 times n quarters.

The number of quarters is 3n.

A nickel is worth $0.05, so n nickels are worth 0.05n.

A quarter is worth $0.25, so 3n quarters are worth 0.25(3n).

0.05n + 0.25(3n) = 1.60

0.05n + 0.75n = 1.6

0.8n = 1.6

n = 2

She has 2 nickels.

3n = 3(2) = 6

She has 6 quarters.

5 0
4 years ago
Read 2 more answers
Use the following information to find the test statistic of the sample used to test the claim that FICO credit scores are greate
gladu [14]

Answer:

t = –3.382

Step-by-step explanation:

Claim: FICO credit scores are greater than 675

Thus, x = 675

We are given:

Sample size = n = 50

Sample Mean = u = 719

Sample Standard deviation = s = 92

The formula to find the t-statistic is:

t=\frac{x-u}{\frac{s}{\sqrt{n} } }

Using the above values, we get:

t=\frac{675-719}{\frac{92}{\sqrt{50} } }\\\\ t=-3.382

Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.

4 0
3 years ago
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Please i meed help!!! im stuck and cant concentrate​
creativ13 [48]

Total outcomes=6 i.e{1,2,3,4,5,6 }

No.of favourable outcomes = 3 i.e {I, 3,5}

P(odd)=3/6=1/2

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3 years ago
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1. Point B lies on line AC. AC = 127, AB is represented by the expression -12x + 11, and BC is represented by the expression -8x
Lerok [7]
For number 1.
Since AB + BC = AC
Then
-12x + 11 - 8x -4 = 127
-20x + 7 = 127
X = -6

Ab would then equal 83
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4 years ago
Find the total cost, to the nearest cent, for a sweater that cost $22.95 with an additional 5.5% tax sale
stealth61 [152]

Answer: $24.2

Step-by-step explanation:

The total cost will be gotten by adding the cost of the sweater and the tax. This will be:

Cost of sweater = $22.95

Tax = 5.5% × $22.95 = 0.055 × $22.95 = $1.26225

Total cost of the sweater = $22.95 + $1.26225 = $24.21225

= $24.2 to nearest cent

8 0
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