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4 years ago

5

please help. A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 30 ft, approximate the vo

lume of the tank in cubic feet.

1 answer:

Hatshy [7]4 years ago

5 0

Answer:

The volume is 56548.6678 feet cubed

Step-by-step explanation:

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Select all the sets of numbers that are possible values for x in the inequality, x>- 2.

lana66690 [7]

Answer:

{-1, 0,5}

Step-by-step explanation:

3 0

3 years ago

A rectangular stained glass window is made up of identical triangular parts as pictured below.

Pachacha [2.7K]

36/4=9 48/3=16 so 9*16=144/2=72 so it is 72 square inches

3 0

3 years ago

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A produce supplier ships boxes of produce to individual customers. The distribution of weights of shipped boxes is approximately

schepotkina [342]

Answer:

$0.67(4)+ 36$

Option D

Step-by-step explanation:

Given that a producer ships boxes of produce to individual customers.(say x)

X is a normal random variable with mean = 36 and std dev =4 lbs

By definition of std normal variate we know that

$\frac{x-36}{4}$ is N(0,1)

75th percentile of std normal distribution is

0.675

Hence corresponding x would be

$36+0.675(4)$

Option D matches with this value

Hence answer is option D

$0.67(4)+ 36$

5 0

3 years ago

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∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

4 years ago

Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?

KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

8 0

3 years ago

Read 2 more answers