Answer:
The Answer is 63.
Step-by-step explanation:
Have a great day :)
Answer:
a) 16 in³
Step-by-step explanation:
Vol (cyl) = πr²h = 54
Vol (cone) = πr²h/3
54/3 = 16
Answer:
71 & 25 m
Step-by-step explanation:
a • b = 1775
2a + 2b = 192
substitution:
a = 1775/b
2(1775/b) + 2b = 192
distribute the 2
(3550/b) + 2b = 192
subtract 192 from both sides
(3550/b) + 2b - 192 = 0
transform the expression by dividing all terms by b
(3550 + 2b² - 192b) / b = 0
when the quotient of expressions equals 0, the numerator has to be 0
3550 + 2b² - 192b = 0
reorder the terms
2b² - 192 b + 3550 = 0
divide by sides by 2
b² - 96b + 1775 = 0
rewrite -96b as a difference using factoring X
b² - 25b - 71b + 1775 = 0
factor the expression (factor out b)
b (b-25) - 71b + 1775
factor out b - 25 from the expression
(b - 25) (b - 71) = 0
if b = 25 or 71, then a = 71 or 25
71 & 25 m
No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
Step-by-step explanation:
Let us revise the operation of the negative and positive numbers
- (-) + (-) = (-)
- (-) × (-) = (+)
- (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
- (-) × (+) = (-)
- (-) - (+) = (-)
- (+) - (-) = (+)
∵ The expression is -8 - 2(3 + 2n) + 7n
- Simplify it
∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n
∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n
- Multiply the bracket by (-)
∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n
- Add the like terms
∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n
∴ -8 - (6 + 4n) + 7n = -14 + 3n
∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n
∵ -14 + 3n ≠ -30 - 13n
∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n
Learn more:
You can learn more about the directed numbers in brainly.com/question/10364988
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