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3 years ago

5

Dalton takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 12 centime

ters long and 9 centimeters wide, how long is the diagonal cut that Dalton made? (Pythagorean Theorem)

1 answer:

Gemiola [76]3 years ago

7 0

Answer:

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

4 0

3 years ago

Teagan was playing Trouble and recorded the number

almond37 [142]

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

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2 years ago

What is the first quartile, Q1, of the data set? {36, 45, 79, 80, 82, 85, 90} Enter your answer in the box. Q1 =

MrRa [10]

The upper quartile is, Q1, is 45. The lower quartile, Q2, is 85. The interquartile range is 40. I hope this helps!

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3 years ago

IrinaK [193]

You can evaluate / find

<span>8.64 x 10^6
-----------------
4.32 x 10^3

by first dividing 8.64 by 4.32 and then dividing 10^6 by 10^3:

2*10^3 (answer)

Please choose the question you want help with next, and post it separately.

</span>

7 0

3 years ago

20% of 57 is what number ?<br> The proportion is ?

Elanso [62]

Answer:

11.4

20/100 = x/57

Step-by-step explanation:

It is perhaps simplest just to translate the given English sentence into a mathematical sentence.

... 20% ... ... of ... 57 ... is ... what number

... 20/100 ... × ... 57 .... = ... what number . . . . . . . . translation to math sentence

... 11.4 = what number . . . . . . . . carry out the multiplication

_____

If you're asked to write this as a proportion, you can write it like this:

$\dfrac{20}{100}=\dfrac{\text{what number}}{57}$

You can solve this proportion by multiplying by 57 (the denominator under "what number"). Doing so gives you the same arithmetic sentence as shown above.

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3 years ago