Answer:
<h2>(c) 8</h2>
Step-by-step explanation:
The number of elements in a power set = the number of subsets of a set
Formula:
Let S be a sent ,the number of elements of the power set of S =

Where card(S) = number of element of S itself.
=======================================
In this case :
Card(S) = 3
Then
the number of elements of the power set of S =

The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:

Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
3 + b
Step-by-step explanation:
Hope this helped
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° =
and tan60° =
, then
2(cos²45° + tan²60°)
= 2( (
)² + (
)² )
= 2(
+ 3 ) ← distribute
= 1 + 6
= 7