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2 years ago

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iragen [17]2 years ago

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You could start anywhere

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Help me class8 (surds)

Mashcka [7]

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:

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

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

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

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

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

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

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

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

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

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

3 0

2 years ago

The cab ride for the dulles airport to the hotel was 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.

natali 33 [55]

The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile the entire trip.

5 0

3 years ago

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he

kherson [118]

Answer:

312π mm3

Step-by-step explanation: yes

5 0

3 years ago

Read 2 more answers

An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation

Lelu [443]

Answer:

The inequality $f>40$ represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

$h=60+2.5f$

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

$h>160$

$60+2.5f>160$

Substract 60 from both sides.

$2.5f>100$

Divide both sides by 2.5.

$f>40$

Therefore the inequality $f>40$ represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0

3 years ago

7x + 4 = 7x + 4

Kazeer [188]

Infinitely many because if you subtract 7x from both sides, you get 4 = 4, which is true at all times no matter what x is.

3 0

3 years ago