Answer:
C
Step-by-step explanation:
Answer:
31.42 feet or 10pi feet
Step-by-step explanation:
Diameter = 2 times radius, so the radius is 5 feet
use the circumference formula
c=2pi r
c= 2pi(5)
c=10pi feet= about 31.42
Answer:
The answer is D, (-3,3)
Step-by-step explanation:
Multiply K's cooridinates (-2,2) by 3/2. (-2 × 3/2) (2× 3/2)
Answer:
$5.00
Step-by-step explanation:
you would be paying $5.00 per cup
20 divided 4 is 5
Answer:
t is between 0 seconds and 4.878
Step-by-step explanation:
Given:
Inequality: ![-4.9t^2 + 22t + 0.75 > 10](https://tex.z-dn.net/?f=-4.9t%5E2%20%2B%2022t%20%2B%200.75%20%3E%2010)
Required
Determine the value(s) of t
To answer this question, we simply solve the inequality
![-4.9t^2 + 22t + 0.75 > 10](https://tex.z-dn.net/?f=-4.9t%5E2%20%2B%2022t%20%2B%200.75%20%3E%2010)
Subtract 10 from both sides
![-4.9t^2 + 22t + 0.75 - 10> 10 - 10](https://tex.z-dn.net/?f=-4.9t%5E2%20%2B%2022t%20%2B%200.75%20-%2010%3E%2010%20-%2010)
![-4.9t^2 + 22t -9.25> 0](https://tex.z-dn.net/?f=-4.9t%5E2%20%2B%2022t%20%20-9.25%3E%200)
Multiply through by -1
![4.9t^2 - 22t + 9.25 < 0](https://tex.z-dn.net/?f=4.9t%5E2%20-%2022t%20%2B%209.25%20%3C%200)
Solve the value of t using quadratic formula
![t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-b%20%5C%C2%B1%20%5Csqrt%7Bb%5E2%20-%204ac%7D%7D%7B2a%7D)
Where
<em>a = 4.9; b = -22 and c = -9.25</em>
So:
![t = \frac{-(-22) \± \sqrt{(-22)^2 - 4 * 4.9 * -9.25}}{2 * 4.9}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-%28-22%29%20%5C%C2%B1%20%5Csqrt%7B%28-22%29%5E2%20-%204%20%2A%204.9%20%2A%20-9.25%7D%7D%7B2%20%2A%204.9%7D)
![t = \frac{22 \± \sqrt{484 + 181.3}}{9.8}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B22%20%5C%C2%B1%20%5Csqrt%7B484%20%2B%20181.3%7D%7D%7B9.8%7D)
![t = \frac{22 \± \sqrt{665.3}}{9.8}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B22%20%5C%C2%B1%20%5Csqrt%7B665.3%7D%7D%7B9.8%7D)
![t = \frac{22 \± 25.80}{9.8}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B22%20%5C%C2%B1%2025.80%7D%7B9.8%7D)
Split the expression
or ![t = \frac{22 - 25.80}{9.8}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B22%20-%2025.80%7D%7B9.8%7D)
or ![t = \frac{-3.8}{9.8}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-3.8%7D%7B9.8%7D)
or ![t = -0.388](https://tex.z-dn.net/?f=t%20%3D%20-0.388)
Since t cannot be negative; Then
![t < 4.878](https://tex.z-dn.net/?f=t%20%3C%204.878)
<em>Hence; t is between 0 seconds and 4.878</em>