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3 years ago

1

Mathematics

1 answer:

Annette [7]3 years ago

7 0

Answer:

x = 12√1.5

Step-by-step explanation:

Law of sines.

12/sin45 = x/sin60

x = 12(½√3) / (½√2)

x = 12√3/√2

x = 12√1.5

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AleksandrR [38]

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3 years ago

John ran 6 2/3 miles last week he ran 1 1/3 miles each day how many days did he run

Murljashka [212]

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3 years ago

What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56

AnnyKZ [126]

Answer:

$a_{24} = 146$

Step-by-step explanation:

a1 = 8

a9 = 56

Using formula for finding nth term of arithmeric sequence

$a_{n} =a_{1} + (n-1)d$

We have to find 24th term, therefore n = 24

$a_{1}$ is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first

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Using the above given formula for finding d

put n = 9, a9= 56

$a_{9} =a_{1}+ (9-1)d$

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n = 24, d = 6, a1 = 8

put values in nth term formula

$a_{n} =a_{1}+ (n-1)d$

$a_{24} = 8 + (24-1)6$

$a_{24} = 8 + 138$

$a_{24} = 146$

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3 years ago