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worty [1.4K]
2 years ago
11

7. What is the next fraction in each of the following patterns?

Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

Answer:

36/40, 47/101, 192

Step-by-step explanation:

(a)The numerator (top number of the fraction) is adding up by odd numbers in order.

From 1/40 to 4/40 you add 3, from 4/40 to 9/40 you add 5, from 9/40 to 16/40 you add 7, and from 16/40 to 25/40 you add 9.

The next number to add would logically be 11. So from 25/40 you would go to 36/40.

36/40 is your next fraction.

(b)

3+4=7,4+7=11,7+11=18,11+18=29,18+29=47

(c) 1*2=2,2*2=4,2*4=8,4*8=32,8*32=256,32*256=8,192

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3 years ago
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D

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7 0
2 years ago
Players a, b, and c toss a fair coin in order. the first to throw a head wins. what are their respective chances of winning
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8 0
3 years ago
L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0
3 years ago
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