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astraxan [27]
3 years ago
7

How do you change 0.0112 in to a fraction?

Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0
0.0112 - first say it in words   "one hundred twelve ten thousdandths"

Now write it as a fraction    112/10,000
If you need it in lowest terms we can divide both numerator and denominator by 16
7 /625 in lowest terms.

ioda3 years ago
5 0
\frac{7}{625}
If there was a number other than 0 before the decimal point, it would serve as the whole number in our final answer.
First count the number of digits after the decimal point. For this problem it's 4.
Then make the denominator 10 raised to the power of your answer in the first step so the denominator for this question is 10⁴=10000
The numerator will be the number after the decimal point.
The fraction will be = 112/10000
Then reduce it to the lowest term
If you divide the numerator and denominator by 16 you get 7/625 which is the lowest possible fractional term.
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In triangle ABC, AB = 90 in., BC = 80 in., and angle B measures 50°. What is the approximate perimeter of the triangle?
Monica [59]

Answer:

The answer to your question is Perimeter = 287.3 in

Step-by-step explanation:

AB = 90 in

BC = 80 in

∠B = 50

Perimeter = ?

Process

1.- We need to find AC using Law of sines

\frac{sin A}{80} = \frac{sin 50}{90}

       sin A = \frac{80}{90} sin 50

       sin A = 0.68

              A = 42.9 ≈ 43

The sum of the internal angles in a triangle equals 180°

       A + B + C = 180°

       43 + B + 50 = 180

       B = 180 - 43 - 50

       B = 87°

\frac{AC}{Sin 87} = \frac{90}{sin 50}

AC = 90 \frac{sin 87}{sin 50}

      AC = 117.3

2.- Find the perimeter

     Perimeter = AB + BC + AC

     Perimeter = 90 + 80 + 117.3

     Perimeter = 287.3 in

5 0
3 years ago
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Test the convergence of the series sigma_n = 1^infinity n^n/n!
riadik2000 [5.3K]

With a_n=\frac{n^n}{n!}, we have

\dfrac{a_{n+1}}{a_n}=\dfrac{\frac{(n+1)^{n+1}}{(n+1)!}}{\frac{n^n}{n!}}=\dfrac{(n+1)n!}{(n+1)!}\left(\dfrac{n+1}n\right)^n=\left(1+\dfrac1n\right)^n

whose limit is (famously) e as n\to\infty. e>1, so the series diverges by the ratio test.

7 0
3 years ago
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Slav-nsk [51]

Answer:

1.2

Step-by-step explanation:

1.2/3 is 40 percent

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used guess and check took me 1 minute

8 0
3 years ago
The sides of a triangle have lengths x + 3, 4(x - 13), and 3 over 4 x. The perimeter of the triangle is 3x +6. What is the lengt
nignag [31]

Answer:

shortest side = 15

Step-by-step explanation:

The question is a bit ambiguous. Do you mean (3/4) x or do you mean 3/(4x)?

I'll take it to be the first one.

(x + 3) + 4(x - 13) + (3/4)x = 3x + 6    Remove the brackets on the left

x + 3 + 4x - 52 + 0.75 x = 3x + 6      Combine

5.75x - 49 = 3x + 6                           Subtract 3x from both sides.

2.75x - 49 = 6                                     Add 49 to both sides

2.75x = 55                                          Divide by 2.75

x = 55/ 2.75

x = 20

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4(x - 13) = 4(20 - 13) = 4*7 = 28

(3/4)*20 = 15

The shortest side = 15

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3 years ago
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