Answer:
22.5
Step-by-step explanation:
Given:
AD is diameter of the circle, AB is the tangent, and measure of arc ADC is 228 degrees.
To find:
The
and
.
Solution:
AD is diameter of the circle. So, the measure of arc AD is 180 degrees.




The measure inscribed angle is half of the corresponding subtended arc.



AB is the tangent. So,
because radius is perpendicular on the tangent and the point of tangency.




Therefore,
and
.
Answer:
144 ways
Step-by-step explanation:
Number of paintings = 7
Renaissance = 4
Baroque = 3
We are hanging from left to right and we will first hang Renaissance painting before baroque painting.
For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24
For baroque we have 3! Ways of doing so. 3x2x1 = 6
We have 4!ways x 3!ways
= (4x3x2x1) * (3x2x1) ways
= 144 ways
Therefore we have 144 ways to hang the painting.
Multiply by the reciprocal
-5/6 x -2/1
The negatives cancel, giving you a positive answer:
10/6
Simplified to 5/3 or 1 and 2/3 if you use mixed fractions.