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2 years ago

15

The height of a box is 5 inches. It’s length is 5 inches more than it’s width. Find the length if the volume is 120.

1 answer:

Art [367]2 years ago

7 0

Answer:

8 Inches

Step-by-step explanation:

The length would be w+5, making your equation (5)(w+5)(w)=120, which can be simplified to 5w²+25w-120=0. Then take out a GCF of 5, giving you 5(w²+5w-24)=0. Find the factors and get (w+8)(w-3). Your solutions are -8 and 3. -8 can be taken out, so the final answer is 3. Then you plug it back into the length, so 3+5 is 8.

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Svetllana [295]

Answer:

$\frac{dD}{dt}= 181\frac{168}{1600}$

Step-by-step explanation:

h= 1000 ft

dx/dt= 232 ft/sec

D= 1600 ft

First, we have to find a distance x ( shown in the figure)

applying pythagorus theorem

D^2= h^2+x^2................1

x^2= D^2-h^2

= 1600^2-1000^2

x^2= 1560000

x=1248.99 m

Now we can find out how fast the aircraft is receding from the trawler

( notice that the height is not changing)

so differentiating equation 1 w.r.t t we get

$\frac{d}{dt} (D^2)= \frac{d}{dt}(h^2+x^2)$

2DD'= 2hh'+2xx'

$D\frac{dD}{dt}= h\frac{dh}{dt}+x\frac{dx}{dt}$

now putting values we get

$1600\frac{dD}{dt}= 1000\times0+232\times1249$

$\frac{dD}{dt}= 181\frac{168}{1600}$

6 0

2 years ago

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Dafna11 [192]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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