Answer:
D.
Step-by-step explanation:
Since both the triangles as kept separately are similar, so we'll take proptionality of their sides to find one side
MP/ML=MN/MK
20/28=35/MK
CROSS MULTIPLYING
20×MK=28×35
MK=980/20
MK=49
A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:
n!/((n-r)!r!)
In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.
5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5
5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10
5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10
5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5
Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.
Now we add together the combinations
1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.
The answer is 32.
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Note: There is also an equation for permutations which is:
n!/(n-r)!
Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.
We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.
I hope this helps! If you have any questions, let me know :)
Answer:
7.66 inches
Step-by-step explanation:
In order to find the answer, you need to first find the ratio of miles to inches. You would do this by doing 460/60. In result you would have 7.66.
(33/4) / (2/8)
when dividing with fractions, flip what u r dividing by, then multiply
33/4 * 8/2 = 66/2 = 33...hmm...not an answer choice
let me try something..
(3 3/4) / (2/8) =
15/4 * 8/2 =
30/2 =
15 <====possibly this one if ur problem is : (3 3/4) / (2/8)
Answer:
2.25 inches
Step-by-step explanation:
The mean, or the average, or the rainfall amounts, can be found by adding all of the amounts together and dividing by the number of amounts. In this case, 
. Hope this helps!
