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2 years ago

Find the value of MN if AB = 9 cm, BC = 7.2 cm, and LM = 12 cm.

Mathematics

1 answer:

xenn [34]2 years ago

6 0

Answer:

the answer is 9.6 cm

Step-by-step explanation:

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Please help very urgent

Alik [6]

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by $\sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}$ .

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

$a_{n} = a_{1} • r^{n-1}$

Where $a_{n}$ is the nth term, $a_{1}$ is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, $a_{1}$ will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

$\sqrt[5]{\frac{a_{6}}{a_{1}}}$ =

$\sqrt[5]{\frac{1}{32}}$ =

$\frac{1}{2}$ .

Therefore: $r = \frac{1}{2}$ .

Using all the information we have, we can find the explicit rule:

$a_{n} = a_{1} • r^{n-1}$

$a_{1}$ = 32
$r = \frac{1}{2}$

$a_{n} = a_{1} • r^{n-1}$ →

$\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}$

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

$a_{1} = 32 • (\frac{1}{2})^{1-1}$

$a_{1} = 32 • (\frac{1}{2})^{0}$

$a_{1} = 32 • 1$

$a_{1} = 32$

$a_{6} = 32 • (\frac{1}{2})^{6-1}$

$a_{6} = 32 • (\frac{1}{2})^{5}$

$a_{6} = 32 • \frac{1}{32}$

$a_{6} = 1$

3 0

3 years ago

Read 2 more answers

Miranda has 19 pieces of candy. She wants to give an equal number of pieces to her 6 friends. How many pieces of candy will each

yan [13]

Answer:

3 1/6

Step-by-step explanation:

19/6= 3.1666666666666 also known as 3 1/6

check your work by multiplying 3 1/6 by 6 and get 19

3 0

3 years ago

A book agent charges 15% to represent an author. If the agent earns $4.5 thousand from a book deal, how much does the author ear

netineya [11]

Answer: $25,500

Step-by-step explanation:

15/100 = 4500/x , we use this proportion to find out how much the entore book deal was. When you multiply 4500 x 100 and divide by 15, it gives you an answer of 30,000. 30,000 is the value of the book deal. The agent gets 15% but the entire deal would be worth 100%. We subtract 15% from 100% to get 85%. 85% is what the author will receive. 85% of 30,000 is $25,500. We find the answer by multiplying 30,000 by 0.15. 0.15 is the decimal equivalent of 15.

7 0

4 years ago

-5x - 15 = -200 solve for x

Whitepunk [10]

Answer: 37

Step-by-step explanation:

-5x - 15 = - 200

-5x = -200 + 15

-5x = -185

x = 37

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

3 0

3 years ago

Can you guys help me with number 7 only thank youuu

Leokris [45]

True

it won’t let me make an answer under 20 characters so ignore this but it’s true.

5 0

3 years ago