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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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Mae ling earns a weekly salary of $320 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if
Alex787 [66]

Step-by-step explanation:

4300$ - 100%

x$ - 8%

(4300 × 8) ÷ 100 = 344$

344 + 320 = 664$

answer: 664$ :))))

8 0
3 years ago
At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of
fredd [130]

Answer:

55 adult tickets were sold on Friday.

Step-by-step explanation:

A linear system will be used to model the system.

Let c be the number of child tickets and a be the number of adult tickets

Then according to given statements

a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2

From equation 1

a = 133-c

Putting this in equation 2

9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78

Putting c = 78 in equation 1

a+78 = 133\\a = 133-78\\a = 55

Hence,

55 adult tickets were sold on Friday.

4 0
3 years ago
99 POINTS PLZ HELP-Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shap
larisa86 [58]

total number of cards: 12 + 27 + 91 = 130

total number of cards with a circle: 91

 so you have a 91/130 probability which reduces to 7/10 probability

3 0
3 years ago
Read 2 more answers
Solve the equation: [x-2]=[4+x]<br><br>x=
Whitepunk [10]
X-2 = 4+x
+2      +2
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 -x      -x
   0  = 6 

Answer: no solution / empty set  / ∅
6 0
3 years ago
I’m not quite sure what the answers are, I have tired this problem a variety of times and still get it wrong.
leva [86]

Check the picture below, keeping in mind that opposides sides and interior angles in a parallelogram are congruent.

5 0
2 years ago
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