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kkurt [141]
3 years ago
15

Find the length of arc JM

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

JM ≈ 12.9 miles

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference × fraction of circle

     = πd × \frac{90}{360}

JM = π × 16.4  × \frac{1}{4}

     = \frac{16.4\pi }{4} ≈ 12.9

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A rectangle has a perimeter of 12 centimeters and a height of 5 centimeters. What is the length of the base?
Gwar [14]

Answer:

1 cm

Step-by-step explanation:

We know that the formula for perimeter is<u> 2(l+w) or l+l+w+w</u>

We know that the height is 5 cm so that means <em><u>w= 5</u></em> also that there is 5 cm on both sides of the rectangle. So 5+5=10 so that means that the length of the rectangle is <em><u>1 cm</u></em> if you add the length together you 2 when you add the width you get 10. <em>10+2=12.</em>

5 0
2 years ago
Please answer this ASAP <br> Add these mixed numbers please <br> -2 ½ + 6 ⅓ =
ahrayia [7]

Answer:

9.833333

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
To make a specific orange color, a painter uses 14 of a can of red paint and 12 of a can of yellow paint. Fill in each statement
Otrada [13]

Answer:  For every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7} and

There are approximately 29 cans of yellow paints for 34 cans of red paints.

Step-by-step explanation:

Since we have given that

Number of cans of red paint = 14

Number of cans of yellow paint = 12

According to question, we have to find that for every 1 can of red paint the painter uses what number of yellow paints;

Since the ratio of red paint to yellow paint is given by

14:12\\\\7:6\\\\1:\frac{6}{7}

So, for every 1 can of red paint, the number of yellow paints used by the painter is \frac{6}{7}

Similarly,

If Number of can of red paint is used = 34

So, Number of cans of yellow paint will be

\frac{6}{7}\times 34\\\\=\frac{6\times 34}{7}\\\\=29\ approx.

Hence, there are approximately 29 cans of yellow paints for 34 cans of red paints.

3 0
3 years ago
7 1/4 % as a decimal
Mila [183]
7 1/4% equals 7.25% and there is your answer.
8 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
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