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lapo4ka [179]
3 years ago
8

The second hand on a clock is 8 \text{ cm}8 cm8, space, c, m long. What is the distance the tip of the second hand travels in 10

1010 minutes? Round your answer to the nearest \text{cm}cmc, m. \text{cm}cm
Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

The distance the tip of the second hand travels in 10 minutes is 502 cm.

Step-by-step explanation:

Given : The second hand on a clock is 8 cm long.

To find : What is the distance the tip of the second hand travels in 10 minutes?

Solution :

The circumference of clock is C=2\pi r

The radius is r=8 cm

C=2\times 8\times \pi

C=16\pi

i.e. in 1 minute it cover  16\pi

In 10 minutes it cover  16\pi\times 10

In 10 minutes it cover  160\times 3.14

In 10 minutes it cover  502.4

Therefore, the distance the tip of the second hand travels in 10 minutes is 502 cm.

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Answer:

What is the circumference of a circle whose radius is 20 feet? Leave answer in terms of π.  

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B)  20π feet  

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 D)  100π feet

Step-by-step explanation:

circumference = 2πr

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circumference=40π

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This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, &radic; 100 = 10 which is greater than 9.4247.

We also know that &radic; 108  is greater than &radic; 100 =10

So we can conclude that
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or simply

&radic; 108 > 9.4247

by the transitive property of logical propositions.


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3 years ago
For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

x_{2}=3x_{1} -2

substitute in equation (2), we get

9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k

we cannot find the value of x_{1} and x_{2}.

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

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Answer:

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Step-by-step explanation:

<em> where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.</em>

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