-a) function 2, function 4
-b) function 4
-c) function 2
<h3>
Answer: $2400</h3>
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Explanation:
x = Mason's salary in dollars for that month
x/6 = one-sixth of his salary
x/6+800 = total amount spent (the x/6 dollars and $800 combined)
In total, he spent half his salary. This means he spent x/2 dollars for the month overall.
Set the two items equal to one another. Solve for x.
x/6 + 800 = x/2
6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page
x+4800 = 3x
4800 = 3x-x
4800 = 2x
2x = 4800
x = 4800/2
x = 2400
His monthly salary is $2400
1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.
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Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.
The answer to your question is X = -8
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
<h3>What is the height of the oblique cylinder?</h3>
From Cavalieri's principle, the volume of an oblique cylinder is expressed as;
V = base area × h
V = πr² × h
Given that;
- Radius r = 9cm
- Volume of the oblique cylinder V = 486πcm³
- Height of the oblique cylinder h = ?
V = πr² × h
486πcm³ = π × ( 9cm )² × h
486πcm³ = π × 81cm² × h
486πcm³ = 81πcm² × h
h = 486πcm³ / 81πcm²
h = 6cm
Using Cavalieri’s Principle, the height of the oblique cylinder with the given volume and base radius is 6cm.
Option A) is the correct answer.
Learn more on volume of cylinder here: brainly.com/question/16788902
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