Answer:
64
Step-by-step explanation:
2^2*2^4
4*16
=64
hope it helps
Answer: true
Step-by-step explanation:
Hope this helps
Answer:
A.200
Step-by-step explanation:
<em><u>Question:</u></em>
In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.
What is the arc length?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
<em><u>Answer:</u></em>
<h3>Arc length is 11.30 feet</h3>
<em><u>Solution:</u></em>
Given that,
Radius of circle = 12.6 feet
Central angle =
radians
To find: Arc length
<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>
![s = r \times \theta](https://tex.z-dn.net/?f=s%20%3D%20r%20%5Ctimes%20%5Ctheta)
Where,
s is the arc length
r is the radius
is the central angle in radians
<em><u>Substituting the values we get,</u></em>
![s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30](https://tex.z-dn.net/?f=s%20%3D%2012.6%20%5Ctimes%20%5Cfrac%7B2%20%5Ctimes%20%5Cpi%20%7D%7B7%7D%5C%5C%5C%5Cs%20%3D%2012.6%20%5Ctimes%20%5Cfrac%7B2%20%5Ctimes%203.14%20%7D%7B7%7D%5C%5C%5C%5Cx%20%3D%2011.304%20%5Capprox%2011.30)
Thus, arc length is 11.30 feet
Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i