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Yakvenalex [24]
2 years ago
6

If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)

Mathematics
1 answer:
Nana76 [90]2 years ago
3 0

Answer:

8.1 = LM

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

13 * 5 = LM^2

65 = LM^2

sqrt(65) = LM

8.06225 = LM

To one decimal place

8.1 = LM

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Describe the pattern, write the next term, and write a rule for the nth term of the sequence,
vagabundo [1.1K]

Step-by-step explanation:

Next term is - 51

Use formula Tn=a+(n-1)d

a=the first term of the sequence which is - 15

d=the difference between the terms which is - 9

Substitute

Tn=-15+(n-1)(-9)

Tn=-15+9-9n

Tn=-9n-6

From this you will be able to generate all the terms in the pattern

If they say determine the 50th term just substitute 50 by n

Tn=-9(50)-6

Tn=-450-6

Tn=-456

7 0
3 years ago
What is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?
Natasha_Volkova [10]
{ 125 }^{ \frac { 2 }{ 3 }  }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 }  } \right)  }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 }  \right)  }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25

This is because:

{ a }^{ \frac { m }{ n }  }\\ \\ =\sqrt [ n ]{ { a }^{ m } }

Remember that:

5 x 5 x 5 = 125
5 0
3 years ago
In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi
UkoKoshka [18]

Answer:

x = \frac{4}{9}

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

Represent the percentage with x

x = 0.444

Convert to fraction

x = \frac{444}{1000}

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

x = \frac{444}{1000 - 1}

x = \frac{444}{999}

Simplify to the lowest term: Divide numerator and denominator by 37

x = \frac{444/37}{999/37}

x = \frac{12}{27}

Simplify to the lowest term: Divide numerator and denominator by 3

x = \frac{12/3}{27/3}

x = \frac{4}{9}

Hence;

There winning fraction is \frac{4}{9}

8 0
2 years ago
Question 20 fast please
kipiarov [429]

Answer:

Square root of 4 is 2

so  1+\frac{[1+\sqrt{2x-1]}^2 }{4}=4

frac{[1+sqrt{2x-1]}^2 }{4}=3

so 1+sqrt{2x-1]}^2=12

so 1+sqrt{2x-1}=V12

sqrt{2x-1}=V12-1

2x-1=(V12-1)^2=12-2V12+1=13-2V12

2x=13+1-2V12

2x=14-2V12

x=7-V12

x=7-2V3

I put an attachment to explain better

   

Step-by-step explanation:

6 0
3 years ago
In a bag of 100 marbles comprised of many colors, 25 are blue. suppose marbles are selected at random.
satela [25.4K]

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:

\binom{5}{3}=\frac{5!}{(5-3)!3!}

                          =\frac{120}{2 \times 6}

                          =\frac{120}{12}=10

Therefore, there are 10 ways we could arrange 3 blue marbles.

3 0
2 years ago
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