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3 years ago

7

A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side lengt

h of 9 feet. Determine the area of the larger rectangle.

1 answer:

Verizon [17]3 years ago

3 0

Answer: The answer would be 214

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Element X decays radioactively with a half life of 9 minutes. If there are 610grams of

Nookie1986 [14]

A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that

$\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)$

Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that

$124\,\mathrm g=(610\,\mathrm g)e^{kt}$

Solve for <em>t</em> :

$\dfrac{62}{305}=e^{kt}$

$\ln\left(\dfrac{62}{305}\right)=kt$

$t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686$

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

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2 years ago

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torisob [31]

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3 years ago

F(x)= 2/x-2 find (fof) (i)

brilliants [131]

Answer:

Step-by-step explanation:

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2 years ago

Which answer choice represents an equivalent number sentence that uses that associative property to rewrite "(4 x 5) x 8"?

gtnhenbr [62]

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2 years ago

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Given the exact value for sides a and c.

Over [174]

Answer:

See below

Step-by-step explanation:

a = 15 sqrt 2 sin 45

= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

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2 years ago