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3 years ago

The diameter of a foot ball is 12cm ?find itsvolume

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

288 $\pi$ cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × $\pi$ × (6)³

= 4/ 3 × $\pi$ × 216

= ( 864 $\pi$ )/ 3

= 288 $\pi$ cm³

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Identify and EXPLAIN the ERROR

AveGali [126]

Answer:

Error: Sariah treated every term as though it were an x-term. 5 and -4.5 are constants that cannot be combined with the x-terms. They can only be combined with each other.

Correct solution: 31x + 0.5

Strategy: Pay attention to the variables.

Step-by-step explanation:

In her first step, it appears Sariah added 13x and 5 to get 18x. These terms are not like terms, so cannot be added in this way. An appropriate strategy is to first identify all the terms with the same variables (x in this case), then add their coefficients.

... = x(13 +17 +1) +5 -4.5

Likewise, all the constant terms can be added.

... = 31x +(5 -4.5)

... = 31x + 0.5

8 0

3 years ago

Using principle of mathematical induction prove that 6^-1 divisble by 5 .

salantis [7]

I suppose the claim is $5 \mid 6^n - 1$ for $n\in\Bbb N$ .

When $n=1$ , we have $6^1 - 1 = 6 - 1 = 5$ , and of course 5 divides 5.

Assume the claim holds for $n=k$ , that $5 \mid 6^k - 1$ . We want to use this to show it holds for $n=k+1$ , that $5 \mid 6^{k+1} - 1$ .

We have

$6^{k+1} - 1 = \left(6^{k+1} - 6\right) + \left(6 - 1) = 6\left(6^k - 1\right) + 5$

Since $5 \mid 6^k - 1$ , we can write $6^k - 1 = 5\ell$ for some integer $\ell$ . Then

$6^{k+1} - 1 = 6\cdot5\ell + 5 = 5(6\ell + 1)$

which is clearly divisible by 5. QED

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2 years ago

a sports team won twice as many games as they lost. the sum of games won and games lost was 42. How many games did they win?

Elenna [48]

Answer:

Step-by-step explanation:

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3 years ago

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larisa [96]

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3 years ago

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Need help ASAP!!!!!!

Mnenie [13.5K]

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

$\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95$

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

6 0

3 years ago

The diameter of a foot ball is 12cm ?find itsvolume​

The diameter of a foot ball is 12cm ?find itsvolume