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Lesechka [4]
3 years ago
12

What is the volume of a hemisphere with a radius of 34.1 in, rounded to the nearest tenth of a cubic inch?

Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:83046.6

Step-by-step explanation:

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A homemade loaf of bread turns out to be a perfect cube. Five slices of bread, each 0.6 inch thick, are cut from one end of the
erastovalidia [21]

A cube has all sides of equal length.

So let the side be x

that will be length = width = height = x  

Now, when we cut the loaf into 5 equal slices, the length and height of the slices are the same as the original loaf.  But the width will become less with each slicing. Here the width corresponds to the thickness of the slices.

For each slice the dimensions are -

Length = x

height = x

width = 0.6

Volume of the original loaf is x³.

Volume of  5 slices is 5(x * x * 0.6).  

Volume that is left after the cutting the slices is 235 inch³.

So, equation of the volume is=

x³ - 5(0.6x²) = 235

Solve for x using this equation.

x³ - 3x² = 235

x³ - 3x² - 235 = 0

Using a graph calculator to find the roots, we get

x = 7.35

Hence the dimensions of the original loaf is 7.35 inches for each side.

Please find attached the graph.

7 0
3 years ago
1J orge uses 2 ounces of sauce for every serving of spaghetti he makes. Complete the table below to show the relationship betwee
N76 [4]

Answer:

57

Step-by-step explanation:

fudge it tgyshhvt8 to t up 7

3 0
3 years ago
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Need help math equations work shown
9966 [12]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Select all of the fractions that are equivalent to -2/3 –3/-2 -3/2 2/-2 2/-3 2/3 -2/-3 Please hurry and help I really need it​
lianna [129]

Answer:

2/-3

Step-by-step explanation:

Hope this helped. And I know that you can choose more than one, but I'm pretty sure this is the only one that's equivalent to -2/3

5 0
3 years ago
If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0
3 years ago
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