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MrMuchimi
3 years ago
14

If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

B.   5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = \sqrt{3} times the shorter leg

5\sqrt{3} = x\sqrt{3}

x = 5

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
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Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

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Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

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

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Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
A machine is used to fill bags with sand. the average weight of a bag filled with sand is 22.3 pounds. Write an absolute value f
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Answer:

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Step-by-step explanation:

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Let us represent this by f(x) or y. And thus, we get:

y=f(x)=|x-22.3|

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Answer:

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3 years ago
If you place $1,000.00 in a savings account with an interest rate of 5.25%/month, how much should you earn in interest at the en
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