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ZanzabumX [31]
2 years ago
14

Help me class8 (surds)​

Mathematics
1 answer:
Mashcka [7]2 years ago
3 0

Answer:

  • \cfrac{991\sqrt{2} }{80}

Step-by-step explanation:

For a start simplify each of the roots:

  • \sqrt{72} =\sqrt{36*2} =6\sqrt{2}
  • \sqrt{50} =\sqrt{25*2} =5\sqrt{2}
  • \sqrt{128} =\sqrt{64*2} =8\sqrt{2}
  • \sqrt{98} =\sqrt{49*2} =7\sqrt{2}

Now simplify the expression in steps:

\sqrt{72}-\cfrac{48}{\sqrt{50} }  -\cfrac{45}{\sqrt{128} }  +2\sqrt{98} =

6\sqrt{2}-\cfrac{48}{5\sqrt{2} }  -\cfrac{45}{8\sqrt{2} }  +2*7\sqrt{2} =

6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} }  +14\sqrt{2} =

20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =

20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =

20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =

20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =

\sqrt{2} (20-7\cfrac{49}{80} )=

\sqrt{2} *12\cfrac{31}{80} =

\cfrac{991\sqrt{2} }{80}

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The volume of a right cylinder is 108π and its height is 12.
MariettaO [177]

Answer:

volume of a cylinder = π r^2 *h

108π=π*r^2*h

108=r^2*h

12=r^2

3.464=r

radius =3.464

Step-by-step explanation:

Brainliest would be appreciated

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3 0
2 years ago
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A woman drives an SUV that gets 10 mi/gal (mpg). Her husband drives a hybrid that gets 50 mpg. Every week, they travel the same
zavuch27 [327]

Answer:

The best option would be Number 1.

Step-by-step explanation:

Let's say that they each traveled 1,000 miles a week, meaning that instead of the SUV using 100 gallons of gas, it would be using 90.9, which is 9.1 gallons less.

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In option 2, they would still be using 100 gallons of gas for the SUV a week, except, the hybrid would only be using 12.5 gallons, which is 7.5 gallons less.

The total of those together would be 112.5 gallons a week for 1,000 miles. So, it may be a small difference between the two options, yet Option 1 is the best choice on how to save gas.

5 0
3 years ago
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Solve this equation for x 2/3(x-7=-2
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An experiment was conducted to examine two different memorization methods to see which method allows people to remember better.
wlad13 [49]

Question Completion:

SubID  Memory1     Memory2

1                 71                78

2               75                75

3               77                82

4               90                91

5               72                90

6               79                 81

7               84                 75

8               75                 86

9               85                 92

10              75                 77

11               72                 92

12               76                87

13               77                93

14               90                94

15               84                78

16               73                92

17               75                85

18               87                86

19               75               95

20              70               94

21               72               75

22              90               84

23               81               94

24               87               82

25              90               82

26              87               79

27              78               94

28              78               79

29              70               82

30               81               80

31               80               78

32              90               87

33              83               90

34               81               85

35              73               88

36              82               82

37              84               94

38              85               86

39              77               94

40               82              83

Answer:

Since the mean of Memory1 (reciting method) (79.8) is smaller than the mean of Memory2 (imagery method) (85.5), we can conclude that there is a significant difference in memory performance between the reciting method and the imagery method.

Step-by-step explanation:

a) Data and Calculations:

SubID  Memory1     Memory2

1                 71                78

2               75                75

3               77                82

4               90                91

5               72               90

6               79                81

7               84                75

8               75                86

9               85                92

10              75                77

11               72                92

12              76               87

13              77               93

14              90               94

15              84               78

16              73               92

17              75               85

18              87               86

19              75               95

20             70               94

21              72               75

22             90               84

23              81               94

24             87               82

25            90               82

26             87               79

27             78               94

28             78               79

29             70               82

30              81               80

31              80               78

32             90               87

33             83               90

34              81               85

35             73               88

36             82               82

37             84               94

38             85               86

39             77               94

40             82               83

Total     3,193          3,421

Mean     79.8            85.5

Difference in means = 5.7 (85.5 - 79.8)

7 0
3 years ago
Which of the following illustrates the truth value of the given statements?
bekas [8.4K]

Answer:

T and F

Step-by-step explanation:

Hi! Maybe I am reading it wrong, but only 2 statements are given. The answer to these statements are true and false.

"A square root of 16 is 4."

4^{2} =16

4 squared, or 4 * 4 is equal to 16, and therefore this is true.

"The only square root of 9 is -3."

This is false. 9 has 2 square roots: 3 and -3.

3^{2} =9\\-3^{2} =9

3 * 3 = 9, and so does (-3) * (-3).

So we have T and F, which eliminates the second, third, and fourth choices, which means even without a last statement, A is your correct answer.

Hope I helped! :)

3 0
3 years ago
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