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likoan [24]
2 years ago
7

What is the missing side length?

Mathematics
1 answer:
Leokris [45]2 years ago
3 0

Step-by-step explanation:

the missing side length is 6..........

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An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same
Andru [333]

General Idea:

The volume of cylinder is given by \pi r^{2} h, where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder =\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}

Volume of half cylinder =\frac{576\pi }{2} =288\pi cm^{3}

Step 2: Let x be the number of minutes of filling the sand.

6 cm^{3} of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute= 6*4 cm^{3} = 24 cm^{3}.

8 cm^{3} of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute=24 cm^{3} - 8cm^{3}=16cm^{3}

Volume of sand filled in x minutes = 16x.

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

16x = 288\pi \\ \\ x=\frac{288\pi}{16}  \\ \\ x=18\pi \\ \\ x=57 minutes

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0
3 years ago
Andrew is showing his work in simplifying −4.5 + 4.2 + 5.6 − 7.3. Identify any errors in his work or in his reasoning. Step Work
Llana [10]

Answer:

it is the last one ( HE SIMPLYFIED INCORECCT)

Step-by-step explanation:

i took the test

3 0
2 years ago
Find the equation for the line perpendicular to the line with the equation y= -3 passing through the point (-4,3).
jonny [76]
Answer x=-4
This would make a straight line going perpendicular to y=-3 and would pass through the point -4,3.
3 0
3 years ago
What is (1/4 + 5/4) 2 + 3/4 (The two is an exponent)
larisa86 [58]

Answer:

51,958

Step-by-step explanation:

1x1x1x1= 1             5x5x5x5= 625          3x3x3x3=81

1+625= 626

81+2= 83

626x83

7 0
2 years ago
Which of the following examples would show a negative trend?
Ierofanga [76]
<h3>Answer:  C. outside temperature and heating bill</h3>

Explanation:

A negative trend is when one variable goes up and the other variable goes down (or vice versa).

As the temperature goes down, the heating bill is likely to go up. This is of course assuming the person(s) use the heat to stay warm rather than just solely rely on something like coats/blankets/etc.

As the temperature goes back up, there's little to no need for heating. So the heating bill will likely go down.

As the name implies, negative trend graphs have negative slopes for the regression lines.

5 0
2 years ago
Read 2 more answers
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