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Daniel [21]
3 years ago
6

A cylinder has a diameter of 8 inches and a volume of 1287 cubic inches. What is the height of

Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

25.62

Step-by-step explanation:

the answer is rounded and pi was 3.14 to solve this

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Use the method of Gauss to find the sum.1+2+3+.....+400
nikklg [1K]
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.
6 0
3 years ago
Could you guys help me solve 9 I would appreciate it :)
Drupady [299]

Answer:

Step-by-step explanation:

12<18/3(-2)+12  turns into 12<18/-6+12

False

5 0
3 years ago
Using distributive property rewrite the expression without parentheses.
timofeeve [1]
6y + 30

4a - 24

6 + 2w
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Kim makes spiced tea from her mother's recipe. The recipe calls for 2 %
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