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3 years ago

decompose the mixed number 2 4/5

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Answer:

$2 \frac{4}{5}$

$\frac{2 \times 5 + 4}{5}$

$\frac{14}{5}$

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How many two-digit numbers satisfy the following property: the last digit (units digit ) of the

jarptica [38.1K]

0 because no square numbers end in 8 none no matter how many digits it has.

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3 years ago

Determine the five-number summary for this data set, taking into account any outliers. 10 13 15 12 12 4 12 17 12 13 15 18 10 11

TiliK225 [7]

The value of the median, lower and upper quartile

Median = 21.5
lower quartile = 12
upper quartile = 29

<h3>What is the five-number summary for this data set?</h3>

The minimum value = 10

The maximum value = 38

The median is the value that is found in the center of the data when it is ordered from lowest to highest. In the event that there is no value that precisely corresponds to the center, the value will be determined by taking the average of the values that are located on each side of the middle.

10 11 12 15 19 24 27 29 33 38

Median = 21.5

The intermediate value of the data that is located to the left of the median is known as the lower quartile.

10 11 12 15 19

lower quartile = 12

The intermediate value of the data that is located to the right of the median is known as the upper quartile.

24 27 29 33 38

upper quartile = 29

In conclusion, the 5 number summary is 10, 12, 21.5, 29, 38 → A

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2 years ago

If I worked 8 hours and 49 minutes but my paycheck was only 97.17$ what was my hourly wage.

ruslelena [56]

Answer:

11.021$

Step-by-step explanation:

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3 years ago

(This is a "show your work" type of assignment)

joja [24]

Answer:

Part 1) It is not possible to apply the Pythagorean Theorem to find the missing side, because is not a right triangle

Part 2) I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) The length of side CB is $369\ units$

Part 4) The measure of angle C is $35\°$

Part 5) The measure of angle B is $88\°$

Step-by-step explanation:

Part 1) Can you use Pythagorean Theorem to find the missing side?

we know that

The Pythagorean Theorem is used in a right triangle

The triangle ABC of the figure is not a right triangle

therefore

It is not possible to apply the Pythagorean Theorem to find the missing side

Part 2) Would you use Law of Sine or Law of Cosine to find the length of side CB?

I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) Find the length of side CB. Show your work and round your answer to the nearest whole number

Applying the law of cosine

$BC^{2}=AB^{2}+AC^{2}-2(AB)(AC)cos(A)$

substitute the values

$BC^{2}=255^{2}+440^{2}-2(255)(440)cos(57\°)$

$BC^{2}=136,408$

$BC=369\ units$

Part 4) Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{CB}{sin(A)}$

substitute the values

$\frac{255}{sin(C)}=\frac{369}{sin(57\°)}$

$sin(C)=255*sin(57\°)/369=0.5796$

$C=arcsin(0.5796)=35\°$

Part 5) What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Remember that

the sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values and solve for <B

$57\°+$

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3 years ago

Shanika makes 2,800 milliliter so of chicken soup for a dinner party.she needs 3.5 liters. how many more milliliter so does shan

WINSTONCH [101]

1L=1000mL
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3 years ago

￼decompose the mixed number 2 4/5

decompose the mixed number 2 4/5