Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
The point P is the center of the circle (the drawing is not a scale )
step 1
Find the measure of angle ∠CPD
we know that
---> by supplementary angles (form a linear pair)

step 2
Find the measure of arc DC
we know that
<u><em>Central angle</em></u> is the angle that has its vertex in the center of the circumference and the sides are radii of it
so
----> by central angle
therefore

Answer:
Therefore values of a and b are

Step-by-step explanation:
Rewrite
in the form
where a and b are integers,
To Find:
a = ?
b = ?
Solution:
..............Given
Which can be written as

Adding half coefficient of X square on both the side we get
...................( 1 )
By identity we have (A - B)² =A² - 2AB + B²
Therefore,

Substituting in equation 1 we get

Which is in the form of

On comparing we get
a = 3 and b = 2
Therefore values of a and b are

Answer:
24.59 feet
Step-by-step explanation:
Let x represent the distance between Sam and the bird.
We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.
We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.






Therefore, the bird is approximately 24.59 feet away from Sam.
Answer:
c=10
Step-by-step explanation:
It will be 20*21 based on the pattern in the chart