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3 years ago

9

The league championship 800 meter race has 9 runners. In how many different ways they place first, second and third?

1 answer:

uysha [10]3 years ago

3 0

Answer:

504 different ways

Step-by-step explanation:

There are 9 people competing

9 Different people can come in 1st

We have a winner

Now there are only 8 people left to come in second

8 different people can come in 2nd

There is 1 second place winner

Now there are only 7 people left to come in second

7 different people can come in 3rd

9*8*7 =504

There are 504 different ways

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2 years ago

What is 67+9,000???? <br>a. 67,679<br>b. 9,067<br>c. 67,980

Mashutka [201]

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3 years ago

Read 2 more answers

please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me

mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH= $\sqrt{(5-0)^{2}+(1-1)^{2}}=5$ and

GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$

Now, mid point of JH= $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

= $(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)$

Mid point of GI= $(\frac{5}{2},1)$

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

$(GI)^{2}=(IJ)^{2}+(JG)^{2}$ (1)

Now, JI= $\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20}$ and GJ= $\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}$

Substituting these values in (1), we get

$5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }$

$25=20+5$

$25=25$

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI= $\sqrt{(4-1)^{2}+(3+1)^{2}}=5$ and HJ= $\sqrt{(0-5)^2+(1-1)^2}=5$ are equal, thus, GHIJ is a rectangle.

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3 years ago

Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit. What is th

zhenek [66]

Answer:

The percent error of Heather's calculation is <u>8%</u>.

Step-by-step explanation:

Given:

Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.

Now, to find the percent error of Heather's calculation.

The temperature of coffee Heather measures = 133.4° F.

Coffee's actual temperature = 145° F.

So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:

$145-133.4=11.6\°.$

Now, to get the percent error:

$\frac{11.6}{145}\times 100$

$=\frac{1160}{145}$

$=8\%.$

Therefore, the percent error of Heather's calculation is 8%.

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3 years ago

During a 12 hour period the clock beeped 67.2 times how many times did the clock beep

hram777 [196]

I'll finish this in a comment or get a mod to open it, but the way it reads, it beeps 67.2 times in those 12 hours. Did you mean per hour?

67.2 / 12 = 5.6

See comment below. The question is the number of beeps in 1 hour which is 5.6 <<<< Answer

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3 years ago