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just olya [345]
2 years ago
7

16 > - 8 + x A. x > 24 B. x < 24 C. x > 8 D. x < 8

Mathematics
1 answer:
xeze [42]2 years ago
6 0

Answer:

B. x < 24

Step-by-step explanation:

16 > - 8 + x

+8 > +8 + x     Add 8 to both sides

24 > x

Final answer: x < 24

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Answer:

\frac{10\sqrt{6} }{3} and \frac{11\sqrt{3} }{3}

Step-by-step explanation:

(a)

A = \frac{1}{2} × 4\sqrt{2} × \frac{5}{\sqrt{3} }

   = 2\sqrt{2} × \frac{5}{\sqrt{3} }

   = \frac{10\sqrt{2} }{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

= \frac{10\sqrt{6} }{3} units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4\sqrt{2} )² + (\frac{5}{\sqrt{3} } )²

    = 32 + \frac{25}{3}

    = \frac{96}{3} + \frac{25}{3}

    = \frac{121}{3} ( take the square root of both sides )

h = \sqrt{\frac{121}{3} } = \frac{11}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

h = \frac{11\sqrt{3} }{3}

 

7 0
3 years ago
Eric plays piano and guitar. He practiced on both instruments for a total of 8 hours this week. He practiced the piano for 3/4 o
Ivan
If you would like to know how many hours did Eric practice the piano this week, you can calculate this using the following steps:

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7 0
2 years ago
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Answer:

-4,-1

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6 0
3 years ago
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Svetradugi [14.3K]

Answer:

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2 years ago
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So  the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
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6 0
3 years ago
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