For each of the problems, twice the angle formed by the chords is equal to half the sum of the angles of the arcs.
So, for the first problem, we have
, so
.
For the second,
, so
.
For the last problem,
, so
.
Feel free to comment below if you have any questions!
Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
I really don’t understand this question. can you explain this in the comment so i can answer your
To find the answer,we can solve this by settin up an equation.
Let x be the number of adult tickets sold.
The number of students ticket sold would be:
x-74
We can then sum them up to set an equation:
x+x-74 = 676
2x = 676 + 74
x = 375
Therefore the adult tickets sold were 375.
Hope it helps!
