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Alika [10]
3 years ago
9

How many groups of four shirts can you choose from six shirts? Determine if the word problem is a permutation or a combination,

then evaluate.
Mathematics
1 answer:
umka2103 [35]3 years ago
6 0
When choosing the shirts it doesn't matter what order they're chosen in because at the end you'll have the same four shirts ... so it's a combinations question (rather than a permutations question where the order of choice makes a difference) 
<span>so number of groups = 6C4 = 15 </span>
<span>another way is to evaluate 6P4 / 4! = 360/24 = 15

</span>
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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre
natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

Z(0, 5) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}

AB = \sqrt{(15)^2 + (0)^2}

AB = \sqrt{225 + 0} = \sqrt{225}

AB = 15

Distance between X(15, 20) and Y(15, 5):

XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

X(15, 20) = (x_1, y_1)

Y(15, 5) = (x_2, y_2)

XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}

XY = \sqrt{(0)^2 + (-15)^2}

XY = \sqrt{0 + 225} = \sqrt{225}

XY = 15

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0
3 years ago
Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of
kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march =  $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march =  $87.37

⇒56.75 +x - (13.25+5)=87.37

⇒56.75 +x - 18.25=87.37

⇒38.5 +x =87.37

⇒x =87.37-38.5

⇒x =48.87

Hence Carlos deposited  $48.87  in his account between the March 15th and the March 20th.

6 0
2 years ago
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Eduardwww [97]

Answer:

Its Mai

Step-by-step explanation:

I promise I know why

7 0
2 years ago
Write4×4×4×4 in index​
JulijaS [17]

Answer:

4^4

Step-by-step explanation:

the answer is 4 to the power of 4

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2 years ago
Drag each tile to the correct location. Not all tiles will be used.
Novosadov [1.4K]

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

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R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

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2 years ago
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