Answer:
$20.44
Step-by-step explanation:
first solve for the whole thing
10 x 6 = 60
now to the red part
2 x 1.5 = 3
now the blue
r^2 * pi = a
2^2 * 3.14
4 * 3.14 = 12.56
now add red and blue
3 + 12.56 = 15.56
now subtract that sum from the whole
60 - 15.56 = 44.44
now do
44.44 / 10 = 4.444
now see how much it would cost for the grass
4.444 * 4.60 = 20.4424 ≈ 20.44
it would cost $20.44 to get the grass reseeded
8x + 47 = 8x + 40
No solutions (the above 2 expressions cannot be equal for any value of x)
Answer:
257 is prime.
Step-by-step explanation:
To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.
In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)
- 257 is odd, so it is not divisible by 2.
- The sum of its digits is 14, therefore, it is not divisible by 3.
- 257 ends in 7, therefore it's not divisible by 5.
- 257/ 7 = 36.71 so it's not divisible by 7.
- 257/ 11 = 23.36 so it's not divisible by 11
- Finally 257 / 13= 19.76 so it's not divisible by 13.
Therefore, 257 is prime.
The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
