If a circle has center (a,b) and radius r, the equation is
So, you have
4 bottles of Gatorade with 25 cents leftover
Given:
In circle L, measure of angle KLM is 54 degrees and KL = 10 units.
To find:
The length of arc KM.
Solution:
The formula for arc length is:
...(i)
Where, r is the radius of the circle and is the central angle in degrees.
The measure of KL is 10 units, it means the radius of the circle L is 10 units.
The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.
Putting in (i), we get
Therefore, the length of arc KM is 9.42 units.
Answer:
<h2>(6 + i)(2 + 9i) = 3 + 56i</h2>
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
and i² = -1
(6 + i)(2 + 9i) = (6)(2) + (6)(9i) + (i)(2) + (i)(9i)
= 12 + 54i + 2i + 9i²
= 12 + 54i + 2i + 9(-1)
= 12 + 54i + 2i - 9 <em>combine like terms</em>
= (12 - 9) + (54i + 2i)
= 3 + 56i