All categories

2 years ago

A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?

Mathematics

2 answers:

Thepotemich [5.8K]2 years ago

6 0

Answer:

the correct answer is 15<n<25

Step-by-step explanation:

neonofarm [45]2 years ago

5 0

Answer:

The 2nd one

Step-by-step explanation:

because it ranges from 5 to 20

You might be interested in

Credit unions are not subject to federal regulations. A. True B. False

Stolb23 [73]

Answer:

The correct answer is (FALSE)

Step-by-step explanation:

(APEX)

6 0

2 years ago

adiocarbon dating of blackened grains from the site of ancient Jericho provides a date of 1315 BC ± 13 years for the fall of the

Zigmanuir [339]

Answer:

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$ and $\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

Step-by-step explanation:

The equation of the isotope decay is:

$\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }$

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

$\tau = \frac{5568\,years}{\ln 2}$

$\tau \approx 8032.926\,years$

The decay time is:

$t = 1315\,years + 2007\,years \pm 13\,years$ (There is no a year 0 in chronology).

$t = 3335 \pm 13\,years$

Lastly, the relative amount is estimated by direct substitution:

$\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659$

$\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }$

$\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661$

4 0

2 years ago

17. If the following fractions were converted to decimals, which one would result in a repeating decimal?

ryzh [129]

Answer:

A.5/11

Semoga membantu

3 0

2 years ago

Carl rides his bike and goes 12.3 miles an hour. How far would he go in 3.7 hours?

Liono4ka [1.6K]

35.51 miles

__________________________________

3 0

2 years ago

Calculate the mean, median, mode, range, and 5 Number Summary of the following data set:

sleet_krkn [62]

Answer:

1. Mean = 4.57

2. Median = 5

3. Mode = 5

4. Range = 7

Five Number Summary

5. Minimum = 1

6. First Quartile = 4

7. Median = 5

8. Third Quartile = 6

9. Maximum = 8

Step-by-step explanation:

Let's arrange the numbers in order (smallest to largest):

1,2,2,4,4,4,5,5,5,5,6,6,7,8

We need to find:

1. mean

2. median

3. mode

4. range

Five Number Summary

5. Minimum

6. First Quartile

7. Median

8. Third Quartile

9. Maximum

Mean is the sum of all the numbers divided by the number of numbers.

Mean = $\frac{1+2+2+4+4+4+5+5+5+5+6+6+7+8}{14}=\frac{64}{14}=4.57$

Mean is 4.57

Median is the "middle" number when the data set is arranged in order (already done).

There are 14 numbers, so the middle number would be the average of the 7th and 8th number.

7th number is 5

8th number is 5

Average is (5+5)/2 = 5

Thus, Median = 5

Mode is the number that occurs the MOST. Looking at the range, the "most" occuring number is 5 (it appeared 4 times).

Mode = 5

Range is the highest value minus the lowest value.

Highest value is 8

lowest value is 1

Thus, Range = 8 -1 = 7

Range = 7

Five Number Summary

Minimum value is the lowest value. Thus minimum value is 1.

Minimum = 1

6. First Quartile is the value that is 1/4th. In a total of 14 numbers, the 1/4th value would be 1/4*14 = 3.5. We round to the next number, which is 4th.

Thus, 4th value in the data set is 4.

First Quartile = 4

Median have already been found to be 5.

Median = 5

8. Third quartile is the value that is 3/4th. In a total of 14 numbers, the 3/4th value would be 3/4*14 = 10.5. We round to the next number, which is 11th.

THus, 11th value in the data set is 6.

Third Quartile = 6

The maximum value is the highest value. Looking at the data set, it is 8.

THus, maximum = 8

5 0

2 years ago