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pishuonlain [190]
3 years ago
8

You want to make a necklace with 5 beads on it; you have a bag that contains 5 differently colored beads. You draw a bead from t

he bag and string it on the necklace. Then you draw another bead and add it to the necklace. This process is repeated until all of the beads are used. How many different color combinations are possible for the necklace?
Mathematics
1 answer:
Vladimir [108]3 years ago
8 0
There are 120 different combinations.

There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:

5*4*3*2*1 = 120.
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Simplify the problem 2/sqrt 5
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2/sqrt 5

by rationalising the denominator,

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a boat going upstream at 4 mph then travels downstream at 10 mph. what is the rate of the boat in still water​
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Answer:

7 mph

Step-by-step explanation:

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3 0
3 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
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m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
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m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
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3 years ago
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