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Damm [24]
3 years ago
8

Give the diagram shown at the right, find the value of 3x. Pls help!!

Mathematics
1 answer:
EastWind [94]3 years ago
4 0

Answer:

<h2>3x = 18</h2>

Step-by-step explanation:

Use the Pythagorean Theorem here:

30² = (3x)² + (4x)², or:

30² = 9x² + 16x²  =  25x²

Taking the square root of both sides, we get √(30)² = √(25x²), or:

30 = ± 5x

Neglect -5x, since we are measuring distances, and distances are positive.

Then 5x = 30, and so x = 6

Thus, 3x = 3(6) = 18

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What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Assoli18 [71]

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 13², so

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = \sqrt{25} = 5

3 0
3 years ago
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masha68 [24]

Answer:what’s the lowest value?

what’s the highest value?

there is your range

Step-by-step explanation:

3 0
2 years ago
If you were going to make a curtain for a window that was two and a half feet wide and three and a half feet high, what size wou
insens350 [35]
Add 0.5 to each side so you have fabric for the seams and your new numbers are 3 ft and 4 ft

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4 0
3 years ago
Which of the points shown below are on the line given by the equation
Finger [1]
The correct answer it would be is 2,3,4
4 0
3 years ago
Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4
Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

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Third Quartile  = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

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

Mean = sum of all numbers / total numbers

         = 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

         = 64 / 14

         = 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th  data i.e, 5 and 5

Median =(5+5)/2

           = 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number  = 1, Largest number = 8

Range= Largest number - Smallest number

        = 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by:  consider the data on right of the median and find median among them

7 0
3 years ago
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