Answer:
The area of the base is about 32 square meters
Step-by-step explanation:
V = pi times r^2 times h which is the formula.
Since the volume is 288, and the height is 9 it is,
288 = pi times r^2 times 9,
288/9 = pi times r^2 times 9/9
32/pi = pi/pi times r^2
10.2 = r^2
The square root of 10.2 is about 3.19
Area formula is pi times radius, r^2
3.19 times 3.19 or 3.19^2 = 10.1761
10.1761 times pi is 31.96 which is about 32 square meters.
I hope this helps!
The Power of a Power Rule. In this case, you basically multiply the two exponents together, and simplify (x^4)^9 to equal x^36
Answer: $21.25
Step-by-step explanation:
0.85 x 25
The product of something means multiplying the terms together.
(2x+3) (4x^2-5x+6)
Secondly you need to distribute the terms to each other (Think of problems like FOIL)
2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6
Then you must take into account that some of the numbers are negative. (minus-plus rules!)
2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6
Now is the tricky part of simplifying everything.
2x * 4x^2 = 8x^3
2x * 5x = 10x^2
2x * 6 = 12x
3 * 4x^2 = 12x^2
3 * 5x = 15x
3 * 6 = 18
8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
Then you group like terms.
8x^3 - 10x^2 + 12x^2 - 3x + 18
8x^2 + 2x^2 - 3x + 18
The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!
Answer:
($410 - $60) / $70 = 5
After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!
