Answer:
Measure of ∠K=180-∠U
Or
Measure of ∠K=1/2m(arc DUC)
Step-by-step explanation:
Given:
DUCK quadrilateral inscribed in circle with center O
To Find:
Measure angle K
Solution:
Here the Quadrilateral in inscribed in a circle with center O named as DUCK
So angle K and U are opposite to each other
We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles
Hence
∠U+∠K=180
Or The ∠K=1/2*m∠arc(DUC).
Hence depending on the given value for arc measure or angle of quadrilateral we calculate the angle K
Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for
such that
is maximized. Once we have that
, we can easily find the answer to part b.
Finding the value that maximizes
is the same as finding the value that maximizes
, just on a smaller scale. So, we really want to maximize
. To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of
such that the inner part of the square term is equal to
.
.
So, the answer to part a is
.
We can then plug
into the equation for p to find the answer to part b.
.
So, the answer to part b is
.
And we're done!
4 is 16.3, I don't know 5 or 6, 7 is 176, I don't know 8 or 9, 10 is 8.1, I don't know 11, and 12 is 48.
(I used a calculator, lol)
Given:

Solution:
Complex formula:

Let us simplify one by one.


|3 + 4i| = 5


|3 - 4i| = 5


|-3 + 4i| = 5


|-3 - 4i| = 5
Substitute these in the given expression:


The solution of the expression is 20.
Answer:
No
Step-by-step explanation:
A square is a square. I don't even know how this is a question-