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navik [9.2K]
2 years ago
6

Find the exact length of the third side.

Mathematics
2 answers:
malfutka [58]2 years ago
6 0

Answer:

5sqrt3

Step-by-step explanation:

Using the pythagorean theorem, we have a^2+4^2=9^2

a^2 + 16 = 81

a^2 = 75.

a = sqrt75.

75 = 25*3. 25 is a perfect square, so sqrt75 = 5sqrt3

podryga [215]2 years ago
4 0

Answer:

8.0622577483

Step-by-step explanation:

pythagorean theorem

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How many times greater is the value of 4 in 547 than the value of the 4 and 84​
sesenic [268]

Answer:

10

Step-by-step explanation:

How many times greater is the value of 4 in 547 than the value of the 4 and 84​?

547: 500 + 40 + 7

5 is in the hundreds place

4 is in the tens place

7 is in the ones place

84: 80 + 4

8 is in the tens place

4 is in the ones place

The value of 4 in 547 is 10 times greater than the value of 4 in 84.

Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.

Also, 4 * 10 = 40

Hope this helps!

6 0
2 years ago
Helpp worth 20 points!!<br>write the equation of the line below<br><br>​
Anit [1.1K]

Answer:

y = -x -2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Three consecutive integers have a sum of 42. find the integers.
ioda
The answer is 13,14,15.
6 0
3 years ago
Find the interquartile range for each set of data.<br> Set 1: 21, 5, 14, 10, 8, 17, 2
tensa zangetsu [6.8K]

Answer:

12.

Step-by-step explanation:

First arrange in ascending order:

2 5 8 10 14 17 21

The median is 10.

the lower quartile is the middle number of 2 5 and 8 which is 5.

Similarly the upper quartile is 17.

IQR = 17 - 5 = 12.

6 0
3 years ago
Read 2 more answers
The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA
MA_775_DIABLO [31]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the  box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median)  corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

3 0
3 years ago
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