<span>You can probably just work it out.
You need non-negative integer solutions to p+5n+10d+25q = 82.
If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80.
So this is the same as n + 2d + 5q ≤ 16
So now you simply have to "crank out" the cases.
Case q=0 [ n + 2d ≤ 16 ]
Case (q=0,d=0) → n = 0 through 16 [17 possibilities]
Case (q=0,d=1) → n = 0 through 14 [15 possibilities]
...
Case (q=0,d=7) → n = 0 through 2 [3 possibilities]
Case (q=0,d=8) → n = 0 [1 possibility]
Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81
Case q=1 [ n + 2d ≤ 11 ]
Case (q=1,d=0) → n = 0 through 11 [12]
Case (q=1,d=1) → n = 0 through 9 [10]
...
Case (q=1,d=5) → n = 0 through 1 [2]
Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42
Case q=2 [ n + 2 ≤ 6 ]
Case (q=2,d=0) → n = 0 through 6 [7]
Case (q=2,d=1) → n = 0 through 4 [5]
Case (q=2,d=2) → n = 0 through 2 [3]
Case (q=2,d=3) → n = 0 [1]
Total from case q=2: 1 + 3 + 5 + 7 = 16
Case q=3 [ n + 2d ≤ 1 ]
Here d must be 0, so there is only the case:
Case (q=3,d=0) → n = 0 through 1 [2]
So the case q=3 only has 2.
Grand total: 2 + 16 + 42 + 81 = 141 </span>
Answer:
452.39 mm^2
Step-by-step explanation:
Area of a circle = 
r^2
Here r = 12mm
Therefore, Area= x 12^2 = 452.389342...
Round to required degree of accuracy = 452.39mm^2
Hope this helps
Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
Answer:
The answers are 54 degrees and 234 degrees
Step-by-step explanation:
mathematically we have the tan positive on only two axes
these are the first (0-90) degrees and the 3rd quadrant (180-270)
We start by find the arc tan of the angle value
Thus;
x = arc tan (1.3562)
x = 54 degrees
On the third quadrant, we have it that;
180 + 54 = 234 degrees
Answer:
40,013,428,129,680
Step-by-step explanation:
just bc
