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yarga [219]
4 years ago
11

01:29:

Mathematics
1 answer:
ankoles [38]4 years ago
8 0

Answer:

The length of arc LMN is 14.2cm

Step-by-step explanation:

First of all we have to calculate the circumference of the circle and then extract the portion that corresponds to MN

To solve this exercise we need to use the circumference formula of a circle:

c = circumference

r = radius = 6cm

π = 3.14

c = 2π * r

we replace the known values

c = 2 * 3.14 * 6cm

c = 37.68cm

As we know a circle is represented with 360 ° and they tell us that the angle of the MN part is 75 °, so we have to know the relationship with respect to the total

75° / 360° = 5/24

Now we multiply this number by the circumference and we will obtain the length of the arc MN

MN = 37.68cm * 5/24

MN = 7.85cm

Now we add the values ​​of LM with NM and we will obtain the length of LMN

LMN = 6.3cm + 7.85cm

LMN = 14.15cm

round to the nearest tenth

LMN = 14.15cm = 14.2cm

The length of arc LMN is 14.2cm

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Answer:

$20,086.35

Step-by-step explanation:

To calculate the maturity value by compound interest, we will use the formula

A=P(1+\frac{r}{n})^{nt}

where,

A = Maturity amount

P = Principal amount = $10,000

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n = number of compounding periods = 365

t = time in years = 15 years

Now substituting the values,

A=10,000(1+\frac{0.0465}{365})^{(365)(15)}

   = 10,000(1+0.000127)^{(365)(15)}

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The final value of your investment would be $20,086.35.

6 0
4 years ago
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Dvinal [7]

Answer:

1. (6-2)

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Step-by-step explanation:

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6 0
3 years ago
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What fraction represents the sum of 1/5 + 1/5 + 1/5
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Answer:

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Step-by-step explanation:

0.2+0.2+0.2

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Fittoniya [83]

For each part A through D below, the idea is to find the common factor between the terms, which you'll then use the distributive property to pull out.

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Part B

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Part C

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3 years ago
If the radius of a circle is 5 centimeters, how long is the arc subtended by an angle measuring 60°?
Lunna [17]
<span>D) 5/6π cm

5cm, 60</span><span>°

Hope this helps. </span>
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3 years ago
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