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elena55 [62]
4 years ago
5

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

square is StartFraction pi r squared Over 4 r squared EndFraction or StartFraction pi Over 4 EndFraction.
A cylinder is inside of a square prism. The height of the cylinder is h and the radius is r. The base length of the pyramid is 2 r.

Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals

StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Mathematics
2 answers:
tensa zangetsu [6.8K]4 years ago
5 0

Answer:

the answer is D

Step-by-step explanation:

Eva8 [605]4 years ago
3 0

Answer:

d

Step-by-step explanation:

i took the test

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A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were​ women? b. What fraction were​ men?
Brums [2.3K]

a) The  fraction of women is \frac{12}{577}

b) The fraction of men is \frac{565}{577}

Step-by-step explanation:

a)

In this part of the problem, we are asked to find what fraction of the prize winners are women.

We have:

w=24 (number of prizes awarded to women)

m=1130 (number of prizes awarded to men)

First of all, we calculate the total number of prizes awarded:

p=w+m=24+1130=1154

Now we find the fraction of prize winners who were women, which is given by:

p(w) = \frac{w}{p}=\frac{24}{1154}

And we can simplify by dividing both numerators and denominators by 2,

p(w)=\frac{24}{1154}=\frac{12}{577}

b)

The total number of prizes awarded is

p=1154

The number of prizes assigned to men is

m=1130

Therefore, the fraction of prize winners who were men is

p(m)=\frac{m}{p}=\frac{1130}{1154}=\frac{565}{577}

where we simplified the fraction by dividing both the numerator and the denominator by 2.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

8 0
3 years ago
How to find the domain of a composite function
ad-work [718]

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

7 0
3 years ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
A toy car accelerates from rest to a velocity of 4.3 m/s. It does this over a time of 4 seconds. What is the car's acceleration?
Oxana [17]

Answer:

it will be 8.3 seconds try to add

4 0
3 years ago
Help please due today and it’s a benchmark
Leona [35]

Answer:

1

Step-by-step explanation:

Ok, so the third and fourth don't seem right. I am going to assume it's either 1 or 2. Sorry if you get it wrong because of me.

8 0
3 years ago
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