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Scilla [17]
3 years ago
7

I need help i dont know how to do it and i dont know the answer

Mathematics
1 answer:
Aloiza [94]3 years ago
3 0

Answer:

125 ft²

Step-by-step explanation:

We know that that surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces, plus the two lateral rectangular faces.

So you get:

SA = 2 [\frac{1}{2}\\(15)(15)] + 2 [(30)(15)] = 1,125 ft²

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If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
A man is four times as old as his son. 10 years later, the man will be three times as old as his son. What is the man’s current
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The son is 20 and the father is 80.

Step-by-step explanation:

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3 years ago
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Can someone help me with this?- Its the end of the year word search for math and its so hard :(
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Which shows one way to determine the factors of x - 9x2 + 5x – 45 by grouping?
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Step-by-step explanation:

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\frac{1}{2}

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refer to solution in the picture

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