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anastassius [24]
3 years ago
9

When purchased, a beach ball is deflated and packaged flat. The package states that when inflated to its maximum capacity, the r

adius of the inflated ball is 6.3 inches. To the nearest hundredth of a cubic inch, how much air will occupy the space contained by the inflated beach ball? Use 3.14 for . In your final answer, include all of your calculations.(PLEASE INCLUDE ALL CALCULATIONS)
Mathematics
1 answer:
MrRissso [65]3 years ago
5 0

volume for a sphere (ball) is 4/3 x PI x r^3

r = 6.3, r^3 = 6.3^3 = 250.047

volume = 4/3 x 3.14 x 250.047 = 1046.863

rounded to nearest hundredth = 1046.86 cubic inches

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Find a better estimate of √2.
Goryan [66]
Answer = 1.414
I used the prime factorization method.
Hope this answers your question.
4 0
1 year ago
Someone help me with this I will make you brain
hram777 [196]

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

5 0
3 years ago
a class has 60 students.Given that 85% passed a science test. Find the number of students who failed and then convert o %
Vanyuwa [196]

Given:

Total students = 60

Student passed = 85%

To find:

The number of students who failed and  then convert it in %.

Solution:

We have,

Number of passed student = 85% of Total students

                                            = \dfrac{85}{100}\times 60

                                            = 51

So, number of passes students is 51.

Number of students who failed = Total students - Passes students

                                                    = 60-51

                                                    = 9

So, number of students who failed is 9.

\text{Fail}\%=\dfrac{\text{Failed students}}{\text{Total students}}\times 100

\text{Fail}\%=\dfrac{9}{60}\times 100

\text{Fail}\%=15

Therefore, 15% students fail in the test.

7 0
2 years ago
there are 121 boys and 116 girls signed up for a felid trip the leader first makes grops of nine students and assign the remaini
valentina_108 [34]

Answer:

22 groups of ten

Step-by-step explanation:

121 plus 116 = 237

237 - 9 = 228

lets split 228 into parts

200

20

8

there are 20 groups of ten in 200

2 groups of ten in 20

and 8 has 0 it is a remainder

20 groups plus 2 groups = 22

22 groups of ten

this probobly isn't the easiest way but I don't know how but this is my thought process.

8 0
3 years ago
A circular playground force daycare center is to be covered with square tiles that are 9 inches on each side. The circle has a d
Luda [366]

You would need 9 boxes of tiles to cover it.


I hope this helps! :)

7 0
3 years ago
Read 2 more answers
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