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3 years ago

( √8/3 - √24 + √50/3) . √6

Mathematics

2 answers:

vodka [1.7K]3 years ago

5 0

Answer:

6(3√3-2)

Step-by-step explanation:

(√8/3 - √24 + √50/3) . √6

(√8/3 - 2√6 + 25√2/3) . √6

(2√2/3 - 2√6 + 25√2/3) . √6

(27√2/3 - 2√6) . √6

(27√12/3 - 12)

9√12-12

√12(9-√12)

2√3(9-2√3)

6(3√3-2)

vodomira [7]3 years ago

3 0

Answer:

Step-by-step explanation:

$( \sqrt{8/3} - \sqrt{24} + \sqrt{50/3} )* \sqrt{6} =\\\sqrt{48/3} - \sqrt{144} + \sqrt{300/3} =\\\sqrt{16} - 12 + \sqrt{100} =\\4 - 12 + 10 =\\2$

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Answer. Triangle ABD

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17. Add - 16 + (-27)

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3 years ago

1. The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each l

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Answer:

Rita = 300

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Rodell = 925

Step-by-step explanation:

rita = x (let

john = 3x ( john swims three times more than rita

rodell = 25 + 3x ( rodell swims 25 more than john

x + 3x + 25 + 3x = 2125

or, 7x + 25 = 2125

or, 7x = 2125 - 25

or, x = 2100/7

x = 300

hence,

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8 0

3 years ago

a red lamp flashes every 10 seconds ,a yellow lamp flashes every 24 seconds and a blue lamp flashes every 30 seconds.How many ti

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3 years ago

Find the indicated nth term show your solution 8,15,22,29,...,a18

Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

Arithmetic Sequence — a sequence that has same difference or common difference.
Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

Common Difference

$\displaystyle \large{a_{n + 1} - a_n = d}$

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

General Terms of Arithmetic Sequence

$\displaystyle \large{a_n = a_1 + (n - 1)d}$

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

$\displaystyle \large{a_{18} = 8 + (18 - 1)7} \\ \displaystyle \large{a_{18} = 8 + (17)7} \\ \displaystyle \large{a_{18} = 8 + 119} \\ \displaystyle \large{a_{18} = 127}$

Therefore, the 18th term is 127.

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3 years ago