Answer:
Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram
Answer:
6.3
Step-by-step explanation:
You can find the distance with a distance formula (need the points and it has a big, long square root) BUT, when you have an image like this graph you can totally see a right triangle and use the Pythagorean Theorem (distance formula is derived from Pythagorean theorem anyway) see image
We know that the pool drains at a rate of 8 gallons per minute. We can multiply 8*11. 8*11 is 88. We can now subtract 88 from 143. This gives us 55. The swimming pool has 55 gallons of water after 11 minutes.
Answer:
a) 2450
b) 1890
c) 1050
Step-by-step explanation:
Given:
- Available Group = 9 M & 7 F
- Committee of= 4 M and 4 W to be formed
Find:
- (a) 2 of the men refuse to serve together?
- (a) 2 of the women refuse to serve together?
- (a) 1 man and 1 woman refuse to serve together?
Solution:
- The question pertains to a selection process, We will use combinations for each case as follows.
part a)
- Since 2 men cant be selected together. Then we have to discount for one man while selecting Man for the committee. Hence, the combinations are:
8C4 x 7C4 = 2450
part b)
- Since 2 women cant be selected together. Then we have to discount for one woman while selecting them for the committee. Hence, the combinations are:
9C4 x 6C4 = 1890
part b)
- Since 1 women and a man cant be selected together. Then we have to discount for one woman and one man while selecting them for the committee. Hence, the combinations are:
8C4 x 6C4 = 1050