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Dmitry_Shevchenko [17]
3 years ago
6

What is the radius of a sphere with a volume of 1/6 pie

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

\large\boxed{the\ radius\ R=\dfrac{1}{2}}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

We have

V=\dfrac{1}{6}\pi

Substitute:

\dfrac{4}{3}\pi R^3=\dfrac{1}{6}\pi        <em>divide both sides by π</em>

\dfrac{4}{3}R^3=\dfrac{1}{6}          <em>multiply both sides by 3</em>

3\!\!\!\!\diagup^1\cdot\dfrac{4}{3\!\!\!\!\diagup_1}R^3=3\!\!\!\!\diagup^1\cdot\dfrac{1}{6\!\!\!\!\diagup_2}

4R^3=\dfrac{1}{2}          <em>divide both sides by 4</em>

R^3=\dfrac{1}{2}:4\\\\R^3=\dfrac{1}{2}\cdot\dfrac{1}{4}\\\\R^3=\dfrac{1}{8}\to R=\sqrt[3]{\dfrac{1}{8}}\\\\R=\dfrac{\sqrt1}{\sqrt8}\\\\R=\dfrac{1}{2}

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You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to til
Ray Of Light [21]
The answer is 7x = 6(x + 15)

x - Jim's rate
y - Pete's rate
<span>Jim completed half the floor in 7 hours:  7x = half of the floor
</span><span>Pete completed the other half of the floor in 6 hours:    6y = half of the floor
So: 7x = 6y

</span><span>Pete can lay 15 more tiles per hour than Jim: y = x + 15

</span>7x = 6y
y = x + 15

Substitute the second equation into the first one:
7x = 6(x + 15)
6 0
3 years ago
K/9=3/9=what ? so is( k)a 3 or another number which is k=3/9=3/9 or no?
Flura [38]
So, if k/9=3/9, then k=3, because it is a variable substituting 3. :D Hope I could help! 
3 0
3 years ago
Y = -5x + 15 2x + y = 12
Nana76 [90]

Answer:

x = 1, y = 10

Step-by-step explanation:

y = -5x + 15 --- Equation 1

2x + y = 12 --- Equation 2

Substitute y = -5x + 15 into Equation 2:

2x + y = 12

2x - 5x + 15 = 12

Evaluate like terms.

15 - 3x = 12

Isolate -3x.

-3x = 12 - 15

Evaluate like terms.

-3x = -3

Find x.

x = -3 ÷ -3

x = 1

Substitute x = 1 into Equation 2:

2x + y = 12

2(1) + y = 12

2 + y = 12

Isolate y.

y = 12 - 2

y = 10

4 0
3 years ago
Read 2 more answers
Which of the following equations have no solutions?
azamat

Answer:

A, B & D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

4 0
3 years ago
A loaf of bread is cut into slices of equal size. Some of the loaf is used in a recipe and 2/12 of the loaf is used to make a sa
gtnhenbr [62]
Answer:
Fraction of bread used in the recipe is 3/12 which can be further simplified into 1/4

Explanation:
The original loaf of bread is 100% complete (no fraction is taken from it yet). This means that the value of the original loaf is 12/12

Now, assume that the fraction used in the recipe is x

We know that:
2/12 of the loaf was used in making a sandwich
7/12 of the oaf was put in the refrigerator

Therefore:
complete loaf = fraction used in making a sandwich + fraction used in making recipe + fraction put in refrigerator
12/12 = x + 2/12 + 7/12
12/12 = x + 9/12
x = 12/12 - 9/12
x = 3/12 

Hope this helps :)
5 0
3 years ago
Read 2 more answers
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