Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. when expressed as decimals, rational numbers either terminate or repeat. for the following rational numbers, use long division to rewrite each fraction as a decimal number. then, classify each decimal equivalent as terminating or repeating. 5 - 14

1)  =0.3571428571 2) Terminating

Step-by-step explanation:

1st. To answer this question let's divide with long division algorithm  5 and -14.

  0.3571428571

-14)50

    42

     ---

     80

     -70

      --

    100

      98

      ---

     20

     14

    ----

      60

      -56

       ---

      40

       28

      --

     120

    -112

     ----

       80

       70

       --

      100

       -98

      --  

       2

5 (dividend) : -14 (divisor)

Long division (check below)

With the same two numbers -14 and 5 we can write in a Long Division

5) -14

  - 2.8

5) -14

    10

   40

So

2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.

form.

form.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841