Answer:
47
Step-by-step explanation:
The number that should go after 23 is 47.
The pattern seems to be (n * 2) + 1, where n is the value of the previous number.
We start with the number 5:
5
(5 * 2) + 1 = 11
11
(11 * 2) + 1 = 23
23
(23 * 2) + 1 = 47
47
... and so on
The pattern should continue as follows.
Hope this helps!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0; / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );
Total number of cards = 52
Number of clubs = 13
Number of cards that is not a club = 39
P(club + not a club) = (13/52) (39/51) = 13/68
Answer: 13/68
