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2 years ago

There are 12 participants running in a 110m hurdles race. How many ways are there to award a gold, silver, and bronze medal?

Mathematics

1 answer:

prohojiy [21]2 years ago

8 0

Answer:

220 ways

Step-by-step explanation:

The order matters because there's going to be a first, second, and third place.

So, 12P3=12!/(12-3)!*3!=12!/9!*3!=12*11*10*9!/9!*3!=12*11*10/6=220

Therefore, 220 ways

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Please help with at least one of these ( I accept 1 answer if you have it; make sure you are 100% positive its correct though!)

Trava [24]

So I know some of them but not all them sorry

5. If m<5=70 then m<6= 20

Why? Because there is a 90 degree angle there and if m<5 is 70 all you have to do to get m<6 is subtract 70 from 90 and you get 20 degrees

6. If m<5=70 then m<1= 90  and m<4=90 

Why? Because you can see based on the drawing that they form right angles

4a. FGK is right angles

4b. The measure of FGK is 90 in total

Why? It has the right angle

Hope this helps:) this was all I could remember

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3 years ago

Which number produces a irrational number when added 0.25

Helen [10]

I think the easiest way to think about this is to put 0.25 into fractional form. 0.25 = 1/4 because 4 divided into 1 = 0.25

So 1/4 added to 2/9 will give us a fraction (rational number). Of course to determine what the fraction is, we have to get a common denominator.
(In case you wanted to know what that rational number is: The least common denominator would be 36. So changing 1/4 by multiplying top and bottom by 9 gives 9/36 and changing 2/9 by multiplying top and bottom by 4/4 gives 8/36 and adding 9/36 to 8/36 gives 17/36 - a rational number.)

6 0

2 years ago

Please answer me this question

Jobisdone [24]

Answer:

x = 2

y = 3

Step-by-step explanation:

$\left \{ {{0.4x + 0.3y = 1.7} \atop {0.7x - 0.2y = 0.8}} \right.$

$\left \{ {{2(0.4x + 0.3y) = 2 * 1.7} \atop {3(0.7x - 0.2y) = 3 * 0.8}} \right.$

$\left \{ {{0.8x + 0.6y = 3.4} \atop {2.1x - 0.6y) = 2.4}} \right.$

$2.9x = 5.8$

$29x = 58$

$x = 2$

$0.3y + 0.4x = 1.7$

$0.3y + 0.4 * 2 = 1.7$

$0.3y + 0.8 = 1.7$

$0.3y = 0.9$

$3y = 9$

$y = 3$

4 0

2 years ago

Find the limit as x approaches 0 of x/sin3x

frozen [14]

$\lim_{x \to 0} \frac{x}{sin 3x} = \\ =\frac{0}{0}= \\ = \lim_{x \to 0} \frac{3x}{3sin3x} =$
= 1/3 ( because the limit as x approaches 0 of t/sin t = 1 ).

5 0

3 years ago

Which verbal expression represents the algebraic expression 3y?

AlexFokin [52]

The algebraic expression 3y would be represented verbally by 3 multiplied by y!

5 0

3 years ago

Read 2 more answers