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2 years ago

9

A rectangular swimming pool is 8 ft deep. One side of the pool is 2.5 times longer than the other. The amount of water needed to

fill the swimming pool is 1280 cubic feet. Find the dimensions of the pool.

1 answer:

Delicious77 [7]2 years ago

8 0

Answer:

3200

Step-by-step explanation:

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The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet

nexus9112 [7]

8
75 in. = 6.25 ft.
50 ft ÷6.25 = 8

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3 years ago

Hey guys! Leave the answer in terms of pi :)

DaniilM [7]

A) if the diameter is 13 the radius is 6.5
$(6.5 \times 6.5) \times \pi = 42.25\pi \\ = 132.7323$
b)if the diameter is 6 the radius will be 3
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3 years ago

In which case is it possible to create exactly one triangle with the given measures?

avanturin [10]

Choices "a" and "c" will form triangles

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2 years ago

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

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2 years ago

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wariber [46]

Answer:

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Step-by-step explanation:

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