Answer:
![\huge\boxed{\bf\:E) \: \: 31.4 \: \:feet}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbf%5C%3AE%29%20%5C%3A%20%20%5C%3A%2031.4%20%5C%3A%20%5C%3Afeet%7D)
Step-by-step explanation:
Since the tetherball is in the centre of the circle, any distance from it to the edge of the circle will be its radius. So, radius (r) = 5 ft.
Now, the formula for the cirumference of a circle = 2πr
Circumference of the circle
= 2πr
= 2 × 3.14 × 5 [π = 3.14]
= 31.4 feet (option E)
![\rule{150pt}{2pt}](https://tex.z-dn.net/?f=%5Crule%7B150pt%7D%7B2pt%7D)
Since it went 8 floors in 6 seconds you divide. 8/6 is 1.333 or 1 1/3 floors per second. Hope this helps.
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Yes he does.
If the sales tax is 6%, that means that he has to pay an extra 6 cents for every dollar.
6x7.5=45
$7.50+$0.45=$7.95
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Step-by-step explanation:
Given expression is:
![x^3+2x^2-5x-6](https://tex.z-dn.net/?f=x%5E3%2B2x%5E2-5x-6)
We have to check if x-3 is a factor of given expression
In order for x-3 to be a factor of expression, we have to put x-3 = 0 => x=3 in expression.
If the expression is zero at x=3 then x-3 is a factor of expression otherwise not.
So putting x=333 in expression
![=(3)^3+2(3)^2-5(3)-6\\= 27+2(9) - 15-6\\= 27+18-15-6\\= 45-21\\=24 \neq 0](https://tex.z-dn.net/?f=%3D%283%29%5E3%2B2%283%29%5E2-5%283%29-6%5C%5C%3D%2027%2B2%289%29%20-%2015-6%5C%5C%3D%2027%2B18-15-6%5C%5C%3D%2045-21%5C%5C%3D24%20%5Cneq%200)
As the expression is not equal to zero on x=3, x-3 is not a factor of given expression
Keywords: Polynomials, expressions
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