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kolbaska11 [484]
3 years ago
12

Men can reap a field in 20 days, in how many days will 15 men reap the field?

Mathematics
1 answer:
Hitman42 [59]3 years ago
4 0
1.333333333333333333333333333333
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The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the
mylen [45]

Answer:

66ft

Step-by-step explanation:

c=pixD

c=pix21

c=65.9...=66ft

3 0
3 years ago
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The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i
kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.


Recall the formula for the sum of consecutive positive integers,

\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2

Now,

1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224

numbers, and their sum is

\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of 1+9\times2=19.

So, the sum of the first 1234 terms in the sequence is 2419.

8 0
2 years ago
Which expression represents the product of 2xy and 3xy+5y-xy^2
galina1969 [7]

Answer:

D. 6x2^2y^2 + 10xy^2 - 2x^2y^3

Step-by-step explanation:

4 0
3 years ago
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8c + c = what please help me i am doing test and need answer right now. like 4rl
lianna [129]

Answer: 8c

Step-by-step explanation:

We do not know the value of c or the other c.

So, the answer to the question is 8c. Hope it helped.

8 0
3 years ago
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Can you please give me that answer
4vir4ik [10]

Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

8 0
2 years ago
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