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Flura [38]
3 years ago
13

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the corne

r diagonally across the field. How far do the players run?
Mathematics
2 answers:
daser333 [38]3 years ago
6 0

Answer:

<h2>150 metres </h2>

Step-by-step explanation:

We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle

Using this we can find the diagonal i.e hypotenuse.

From the question we know that,

Length = 120 metres

Width = 90 metres

So we can find the diagonal by keeping it as x using the pythogorean theorem.

{120}^{2}  +  {90}^{2}  =  {x}^{2}  \\ 14400 + 8100 =  {x}^{2}  \\ 22500 =  {x}^{2}  \\ x =  \sqrt{22500}  \\ x = 150

prohojiy [21]3 years ago
3 0

Answer:

150 meters

Step-by-step explanation:

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In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

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3 years ago
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Lerok [7]

Answer:

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Step-by-step explanation:

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