Answer:
95°
Step-by-step explanation:
- <em>Sum of 3 angles of a triangle equals to 180°</em>
<u>Here we have angles of 30° and 55°, so the remaining angle is:</u>
Answer: +7
Step-by-step explanation: Since a negative divided
by a negative always equals a positive, (-28) ÷ (-4) = +7
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:
20 people. Because 5 already came to the party. 1/3 of his relatives came is 5, so multiply 5 by 3, then add 5. You get 20 people.
Step-by-step explanation:
Answer:
t1 = $25m
t2 = $(10m + 100)
Step-by-step explanation:
Here we want to write equations
Kiera chose plan 1
$25 monthly and no joining fee
So the amount after m months will be 25 * m
t1 = $25m
Trina chose plan 2
$10 a month and $100 joining fee
after m months , total payment will be
10(m) + 100 = $(10m + 100)
Thus t1 = $25m and t2 = $(10m + 100)
