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3 years ago

10

A new Neighborhood Activity Complex is being built in Safe Harbor. The perimeter of the rectangular playing field is 486 yards.

The length of the field is 2 yards less than quadruple the width. What are the dimensions of the playing field

1 answer:

siniylev [52]3 years ago

6 0

Answer:

the two lengths= 194 each side

teh two widths= 49 on each side

194+194+49+49= 486

Step-by-step explanation:

486= 2l+2w

l=4w-2

486-2w=2l -divide that by 2

243-w=l

243-w=4w-2

245=5w -divide that by 5

49=w

l=4(49)-2

l=194

w=49

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9. The sum of 10 and 7 times a number is 59. What is the<br> number? (Use n as the variable.)

PSYCHO15rus [73]

10+7n=59
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2 years ago

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Gelneren [198K]

V=LWH
SA=2(LW+LH+WH)
V=240
first check that they are 240 volume
multiply numbers they should equal 240

the first one (A) can be eliminated since the dimentions are the same and therefor the surface areas are the same

2nd one check so far

3rd one (C) 6*4*15=360 which is wrong so eliminate this one

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3 years ago

Newton's law of cooling is:

Mnenie [13.5K]

Answer:

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

$\frac{du}{dt}= -k (u-T)$

We can reorder the expression like this:

$\frac{du}{u-T} = -k dt$

We can use the substitution $w = u-T$ and $dw =du$ so then we have:

$\frac{dw}{w} =-k dt$

IF we integrate both sides we got:

$ln |w| = -kt +C$

If we apply exponential in both sides we got:

$w = e^{-kt} *e^c$

And if we replace w = u-T we got:

$u(t)= T + C_1 e^{-kt}$

We can also express the solution in the following terms:

$u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}$

For this case we know that $k =-0.15 hr$ since w ehave a cooloing, $T_{i}= 70 F, T_{amb}=11F$ , we have this model:

$u(t) = (70-11) e^{-0.15t} +11$

And if we want that the temperature would be 32F we can solve for t like this:

$32 = 59 e^{-0.15 t} +11$

$21=59 e^{-0.15 t}$

$\frac{21}{59} = e^{-0.15 t}$

If we apply natural logs on both sides we got:

$ln (\frac{21}{59}) =-0.15 t$

$t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr$

So it would takes approximately 6.9 hours to reach 32 F.

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3 years ago

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raketka [301]

Answer:

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2 years ago

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timama [110]

Answer:

Step-by-step explanation:

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Let's combine like terms:

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Finally, let's divide each side by $17$ to get $a$ by itself on the left-hand side of the equation:

$a = -3$

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2 years ago