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Virty [35]
3 years ago
10

The diameter of a basketball is approximately 9.5 inches and the diameter of a tennis ball is approximately 2.5 inches .The volu

me of a basketball is about how many times greater than the volume of the tennis ball ?
Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.

Step-by-step explanation:

The diameter of a basketball is approximately given to be 9.5 inches.

The radius of the basket ball is given by \frac{9.5}{2} = 4.75 inches.

The volume of the basket ball is given by = \frac{4}{3} × π × radius^{3} = 449.1012 cubic inches.

The diameter of a tennis ball is approximately given to be 2.5 inches.

The radius of the tennis ball is \frac{2.5}{2} = 1.25 inches.

The volume of the tennis ball is given by = \frac{4}{3} × π × radius^{3} = 8.1845 cubic inches.

Ratio between the volume of the basketball and tennis is given by \frac{449.1011}{8.1845} = 54.87.

Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.

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What is the sum of the arithmetic sequence 3, 9, 15…, If there are 34 terms?
snow_tiger [21]

Answer:

first we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)

an = a1 + (n-1) * d

n = the term we want to find = 34

a1 = first term = 3

d = common difference = 6

now we sub

a34 = 3 + (34-1) * 6

a34 = 3 + (33 * 6)

a34 = 3 + 198

a34 = 201

now we use the sum formula

Sn = (n (a1 + an)) / 2

S34 = (34(3 + 201))/2

s34 = (34(204)) / 2

s34 = 6936/2

s34 = 3468 <=== the sum of the first 34 terms:

6 0
3 years ago
–2x – 4 + 5x = 8
andriy [413]

Answer:

4

Step-by-step explanation:

-2x- 4 + 5x = 8

Collect like terms

-2x + 5x = 8 +4( when a variable crosses over equality sign it becomes either negative or positive depending on the sign)

3x = 12

Divide via by coefficient of x

X = 12/3

= 4

5 0
3 years ago
Read 2 more answers
Mr. Harris is packaging items to give to his students. He has 48 pencils and 30 notebooks. He wants each package to contain the
guapka [62]

Answer:

The maximum number of packages that can be made  with each package have same number of each item is = 6

Step-by-step explanation:

Given:

Mr. Harris has 48 pencils and 30 notebooks.

To find the number of packages he can make with each package have same number of each item.

Solution:

Number of pencils = 48

Number of notebooks = 30

In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.

<em>To find the G.C.F., we will list down the prime factors of each.</em>

48=2\times 2\times 2\times 2\times 3

30=2\times 3\times 5

We find that the G.C.F. = 2\times 3 = 6

Thus, the maximum number of packages that can be made  with each package have same number of each item is = 6

4 0
2 years ago
The following angles in a convex quadrilateral Angle A= 56.1 degrees Angle B= 99.4 degrees Angle C= 78.2 degrees What is the mea
Contact [7]

Hello,

The sum of angles in a quadrilateral is 360°.

56,1° + 99,4° + 78,2° + x = 360°

233,7° + x = 360°

x = 360° - 233,7° = 126,3°

Bye :)

7 0
3 years ago
1. Quelle était la température à midi ce jour-là ?
joja [24]

Answer: You put this in math when this is french, if you want this in english, the translation is ”what was the temperature at noon that day”

Step-by-step explanation:

6 0
3 years ago
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