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2 years ago

Ten runners are in a race. how many different ways can they finish in 1st, 2nd and 3rd place?

1 answer:

3 0

The order of selection matters, therefore we need to find permutations:
The number of ways is found from 10P3.
$10P3=\frac{10!}{7!}=10\times9\times8=720\ ways$

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Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18

postnew [5]

Answer:

x = 9

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{9\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 9 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 9

5 0

2 years ago

A box contains 421 books. If your teacher orders 19 boxes of books, about how many books will arrive? Use estimation to find you

koban [17]

The answer is 8,000 because 19 times 421 equals 7,888 and that estimated is 8,000

8 0

2 years ago

Read 2 more answers

The square root of 75 is_____ (round to the hundredths place if necessary)

kati45 [8]

Answer: 8.66
Hope this helps =)

6 0

3 years ago

Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace

Dvinal [7]

Answer:

2/5 is left

Step-by-step explanation:

3 0

2 years ago

Log10 (x - 9) + log10 x = 1

Delicious77 [7]

Answer:

$\boxed{ \: \boxed{ x = 10} \: is \: applicable}$

Step-by-step explanation:

$if \: the \: question \: is \to \\ \boxed{log_{10}(x - 9) + log_{10}(x)= 1} \\ then \: the \: value \: of \: \boxed{ x }\: can \: be \: gotten \: by \to\\ log_{10} \{ x( x - 9)\} = 1 \\ log_{10}( {x}^{2} - 9x) = 1 \\ {10}^{1} = {x}^{2} - 9x \\ {x}^{2} - 9x = 10 \\ {x}^{2} - 9x - 10 = 0 \\ {x}^{2} + x - 10x - 10 = 0 \\ x( x + 1) - 10(x + 1) = 0 \\ (x + 1)(x - 10) = 0 \\ \boxed{\boxed{ x + 1 = 0 }\: or \: \boxed{ x - 10 = 0}} \\ \boxed{\boxed{ x = - 1 }\: or \: \boxed{ x = 10}}$

♨Rage♨

7 0

2 years ago