Answer:
20°
Step-by-step explanation:
In circle with center O, PS is diameter.
(angle inscribed in semicircle)
PQRS is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Step-by-step explanation:
Exterior angle BOA = 250°
Interior angle BOA = 360°- 250° = 110°
Now,
(A) BDA = interior angle BOA / 2 = 55°( Property of circles)
(B) From the figure, we observe that AOBC is a cyclic quadrilateral (i.e. sum of opposite angles is 180°).
Therefore, BCA + BOA = 180°
BCA = 180° - 110° = 70°
Answer:
;
Step-by-step explanation:
Given
Every other minute
Required
Determine the recursive function
Let the number of minutes be represented with n.
The initial condition can be represented as:
--- i.e. 3 friends initially at the first minute
At every other minutes:
i.e 2 minutes upwards
This means that n follows the following sequence
Note that the difference between each term is 1.
This means that recursive function has to be defined backwards i.e.
Where k = 2
i.e. The number of friends that received the video from each friend
So, we have:
Hence, the recursive function is:
;
Answer:
option:C is correct.
Step-by-step explanation:
we could clearly see that the graph of this system will pass through the points i.e. the points (1,2),(2,4),(3,8),......(30,2^30).
so based on the observation from the graph we see that each each day corresponds to a unique amount of pennies in this sequence as there is always a different value of 2^x for each x=1,2,...30.
Hence, option C is correct.
Mr Pham's retirement account has 410 000 dollars. Let's put to a situation that he's not withdrawing from his account for several years, and this earns an annual interest of 3.85%.Let's find out how much will he earn: => 3.85% = 3.85% / 100% = .0385 => 410 000 * 0.0385 = 15 785 dollars.Mr, Pham will earn around 15 785 dollars in every year for 2 years he will earn times 2 of this amount that will be added to his retirement amount. => 15 785 dollars * 2 = 31570 dollars for 2 years and so on.<span>
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