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Stels [109]
4 years ago
14

Simplify as far as possible without a calculator. (7+2√2)(7−2√2)

Mathematics
1 answer:
bogdanovich [222]4 years ago
5 0

Answer:

41

Step-by-step explanation:

Given

(7 + 2\sqrt{2} )(7 - 2\sqrt{2} ) ← expand factors using FOIL

= 7² - 2\sqrt{2} + 2\sqrt{2} - (2\sqrt{2} )² ← collect like terms

= 49 - 8

= 41

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gregori [183]

Answer:

The volume of the water in the fishbowl is equal to

(682\frac{2}{3})\pi\ in^{3}  or  2,144.6\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (a fishbowl) is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

r=16/2=8\ in ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (8^{3})=\frac{2,048}{3}\pi\ in^{3}

convert to mixed number

\frac{2,048}{3}\pi\ in^{3}=\pi (\frac{2,046}{3}+\frac{2}{3})=(682\frac{2}{3})\pi\ in^{3}

(3.14156)*(682\frac{2}{3})=2,144.6\ in^{3}

6 0
4 years ago
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Stella [2.4K]

Answer:

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8 0
3 years ago
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Pavel [41]

Answer:

Density = Mass / volume

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Step-by-step explanation:

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natka813 [3]

Answer:

37.5

Step-by-step explanation:

88% of x = 33

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x = 37.5

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BC means B times C
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