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lana66690 [7]
3 years ago
6

the puzzle company packs standard sized puzzels into boxes that hold 8 puzzeles how many boxes would it take to pack up 192 stan

dard sized puzzles
Mathematics
1 answer:
viva [34]3 years ago
5 0
It would take 24 boxes.
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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.
Anika [276]

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

V = \frac{4}{3}\pi r^3

We have to make r the subject of the formula

Multiplying equation by 3/4

\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3

Dividing both sides by pi

\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3

Taking cube root on both sides

\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }

Hence,

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

5 0
3 years ago
Please help it’s irritating when I keep having to post this and no ones bothering to even help me. Like I need to turn this is A
sukhopar [10]

Measure of E is congruent to K, so E is 50 degrees.

Measure of G is congruent to L, so G is 105 degrees.

Measure of F is congruent to J, J is 180 deg - 50 deg - 105 deg = 25 degrees, so F is 25 degrees.

<u><em>The proof I am using is the Corresponding Angles Postulate.</em></u>

<u><em /></u>

I NEED BRAINLIEST!

6 0
3 years ago
The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach? A)8 feet B)10 feet C)12 fe
Lisa [10]

You are solving for the height. Use the formula:

c² - b² = a²      in which c = hypotenuse

(13)² - (5)² = a²

Simplify

169 - 25 = a²

144 = a²

Isolate the a. Root both sides

√144 = √a²

a = √144

a = √(12 x 12)

a = 12

C) 12 feet is your answer

~

3 0
3 years ago
Read 2 more answers
Suzie's Nursery is having a sale on two kinds of plants, venus fly traps and bonsai trees.
ANTONII [103]

Answer:

Venus fly trap = 12

Bonsai tree = 17

Step-by-step explanation:

Given that :

Venus fly trap = $3per plant

Bonsai tree = $5 per plant

Number of plants sold = 29

Total cost of plant sold = $121

Let venus fly trap = x ; bonsai tree =y

x + y = 29 ___ (1)

3x + 5y = 121 ____(2)

From (1) :

x = 29 - y

In (2):

3(29 - y) + 5y = 121

87 - 3y + 5y = 121

87 + 2y = 121

2y = 121 - 87

2y = 34

y = 34/2

y = 17

x = 29 - 17

x = 12

Hence,

Venus fly trap = 12

Bonsai tree = 17

7 0
3 years ago
There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip
dalvyx [7]

Answer:

14

Step-by-step explanation:

42 divided by 3 is 14

8 0
4 years ago
Read 2 more answers
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