We can first calculate all the possible sums and then determine the set of possible outcomes.
Possible sums are:
1+2 = 3
1+4 = 5
1+6 = 7
1+8 = 9
2+2 = 4
2+4 = 6
2+6 = 8
2+8 = 10
3+2 = 6
3+4 = 7
3+6 = 9
3+8 = 11
4+2 = 6
4+4 = 8
4+6 = 10
4+8 = 12
From the above possibilities, the outputs would belong to the set:
<span>{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}</span>
Step-by-step explanation:
note : H for head, T for tail
Answer:
The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.
Step-by-step explanation:
Given:
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.
Now, to find the length of each part of the stick.
Let the shorter part be 
So, the longer part is 
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:

<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:

<em>The length of longer part is 45 cm.</em>
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
Answer:
22.25
Step-by-step explanation:
take the two values away
the sector is the full address , the triangle is in it. the segment is the bit left near the circumference
Answer:
Step-by-step explanation:
45 = (b(4b - 2))/2
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2