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bonufazy [111]
3 years ago
8

A cylinder shaped storage tank has a radius of (x+5) metres and a height of x metres. Determine the dimensions (round to two dec

imal places) of the tank if the volume is about 192 cubic metres.
Mathematics
1 answer:
givi [52]3 years ago
6 0

Answer:

Radius = 6.46 meters

Height = 1.46 meters

Step-by-step explanation:

The volume of a cylinder = πr²h

In the above question, we were given

r = (x + 5) meters

h = x meters

Volume = 192 cubic meters

Hence,

192 = π × (x + 5)² × x

192 = π × (x² + 10x + 25) × x

192 = π × (x³ + 10x² + 25x)

Divide both sides by π

192/π = x³ + 10x² + 25x

61.115498147 = x³ + 10x² + 25x

x³ + 10x² + 25x - 61.12

This Quadratic equation is a polynomial

x = 1.46119

From the above:

Radius = (x + 5)meters

Radius = 1.46119 + 5 = 6.46119 meters

Approximately to 2 decimal places = 6.46 meters

Height = x meters

Height = 1.46119 meters

Approximately to 2 decimal places = 1.46 meters

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In brianna's homeroom class, 9% of the students were born in march and 40% of the students have a blood type of o+.
Firlakuza [10]

Answer:

3.6%

Step-by-step explanation:

Because the two events are independent, their probabilities are multiplied, so the probability of a student being born in March and having a blood type of O+ is 9% * 40% = 0.09 * 0.40 = 0.036 = 3.6%

3 0
1 year ago
Hey can you please help me posted picture of question
Ira Lisetskai [31]
Answer:
40x² + 65x + 25

Explanation:
We will just multiply each term from the first bracket by each term from the second and then combine like terms to get the final expression.

This would be done as follows:
(5x + 5)(8x + 5)
5x(8x) + 5x(5) + 5(8x) + 5(5)
40x² + 25x + 40x + 25
40x² + 65x + 25

Hope this helps :)
6 0
3 years ago
6 16x + 5y = -2<br> 4x - y=-2
Grace [21]

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

5 0
2 years ago
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not cont
MissTica

Answer:

Domain is all Real Numbers and the Range is all Real Numbers.

Step-by-step explanation:

It is a function.

The graph of this function is a straight line passing  through the x axis at (10,0) and the y-axis at  (0,10). The line  continues to the left and right without bounds.

So the Domain is all Real Numbers and the Range is all Real Numbers.

4 0
3 years ago
Jason owns a small business selling bagels. He knows that in the last week 45 customers paid cash, 8 customers used a debit card
tatuchka [14]

The probability that the next customer will pay with cash is 0.76

<h3>What is the probability?</h3>

Formula to find the probability of an event is:

P(A) = n(A)/n(S)

where;

n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment/survey

We are given that;

45 customers paid cash

8 customers used a debit card

6 customers used a credit card.

Thus, the total number of customers:

n(S) = 45 + 8 + 6

n(S) = 59

Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45

Therefore, the probability that the next customer will pay with cash would be;

P(A) = n(A)/n(S)

P(A) = 45/59

P(A) = 0.76

Read more about Probability at; brainly.com/question/23047865

#SPJ1

7 0
2 years ago
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