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Murljashka [212]
3 years ago
12

kaits younger sister is 2feet and 9 inches tall.katie is 5 feet and 4 inches tall . what is the difference between their two hig

hts​
Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

2\ ft\ 7\ in

Step-by-step explanation:

we know that

To find the difference convert the dimensions to inches

Remember that

1\ ft=12\ in

so

katie's younger sister hight is

2\ ft\ 9\ in=2*12+9=33\ in

katie's hight is

5\ ft\ 4\ in=5*12+4=64\ in

Find the difference

64\ in-33\ in=31\ in

Convert to feet and inches

31\ in=31/12=(24/12)+(7/12)=2+(7/12)=2\ ft\ 7\ in

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3 years ago
What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.
anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

a_1=-12\\a_2=-7\\a_3=-2\\a_4=3

d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference

Putting the values in the formula

a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n

Putting n=32 in explicit formula

a_{32}=-17+5(32)\\=-17+160\\=143

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

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Which angle corresponds to the angle?
babunello [35]

9514 1404 393

Answer:

  C

Step-by-step explanation:

Corresponding angles are listed in the same order in the mapping statement.

C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.

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Step-by-step explanation:

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