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3 years ago

13

a cylinder shaped barrel has a diameter of 3 feet and a height of 4.5 feet if the barrel is empty approximately how much water i

s needed to fill the barrel and I need work to be shown please and thank you

1 answer:

pav-90 [236]3 years ago

6 0

Volume of Cylindar:
$v = \pi {r}^{2} h$
the radius is half of the diameter

$v = \pi {1.5}^{2} 4.5$
v = 31.8

Option A.) 32 cu. ft.

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Gala2k [10]

The answer for this is, D

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2 years ago

A pack of 100 wolves on a remote island are suffering from a new disease. Let W(t) be the number of sick wolves at time t. Suppo

Olin [163]

Answer:

$b)\,\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10$

Step-by-step explanation:

Initial number of sick wolves = W(0) = 10

At time t, no. of sick wolves = W(t)

Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:

$\frac{dW}{dt}=kt\sqrt{W}$

Mathematical model of above case is:

$\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10$

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2 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

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Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

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$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

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2 years ago

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Andrej [43]

Answer:

Step-by-step explanation:

Alright, lets get started.

The probability that an event will occur is 2/3.

Means out of 3 times, 2 times that event will occur.

Please refer the pie chart for this, blue is the color which represents event to be occur and orange is not to be occur.

We can see, blue part is much more than orange part.

means the likelihood of event occuring is LIKELY. : Answer

Hope it will help :)

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2 years ago

Surface area of solid figures

Lilit [14]

Answer:

C. 468mm²

Step-by-step explanation:

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2 years ago