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tankabanditka [31]
3 years ago
14

The distance around our schools playing field is 300 meters. if our coach wants us to run 3 kilometers how many times will we ne

ed to run around the filed
Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
3 kilometers is equal to 3000 meters
Distance of a ground is 300 meters sou need to  run 10 rounds around thefield
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Determine the gravitational force of attraction between two 3.5 kg bowling balls whose
Ipatiy [6.2K]

Answer:

F_G=2.04\ .\ 10^{-10}\ Nw

Option J

Step-by-step explanation:

Newton's Universal Law Of Gravitation

Newton discovered that all objects attract each other with a force of gravitational attraction which is proportional to their masses and inversely proportional to the square of the distance between them.

\displaystyle F_G=G\frac{m_1m_2}{d^2}\ ,\ G=6.673\ .\ 10^{-11} N m^2/kg^2

Where m_1, m_2 are the masses in kg and d is the distance between them in meters.

In the problem, we have

m_1=m_2=3.5\ kg

d=2\ meters

\displaystyle F_G=6.673\ .\ 10^{-11} N m^2/kg^2\frac{(3.5kg)(3.5kg)}{(2m)^2}

\boxed{F_G=2.04\ .\ 10^{-10}\ Nw}

5 0
4 years ago
Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
A bale of fabric is 189 metres long. If lengths of 15 metres, 36 metres and 29 metres are cut off, how much fabric is left?.
Xelga [282]

Answer:

109 metres

Step-by-step explanation:

1. Do 15+36+29 which equals 80

2. Do 189-80 and u get 109

Hope this helps :3

5 0
3 years ago
The distance a car has traveled can be represented by the equation d = 1.4m, where d represents the distance in miles and m repr
ValentinkaMS [17]

Answer:

It is the velocity of the car, the speed.

5 0
3 years ago
B. Rob would like to create a triangle that is
Phantasy [73]

Answer:

14y + 9

Step-by-step explanation:

Perimeter of the given triangular above = sum of all its sides.

= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1

Collect like terms

= y + 2y + 4y + 9 - 1

= 7y + 8

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

2(7y + 8) - 7

Simplify

2*7y + 2*8 - 7

14y + 16 - 7

New perimeter = 14y + 9

5 0
3 years ago
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