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laila [671]
2 years ago
15

Winnie has 7 trophies she wants to display in an array.How many different arrays are possible? Explain.

Mathematics
2 answers:
Lady_Fox [76]2 years ago
8 0

Answer:

Winnie can arrange  7 trophies in 7! = 5040 ways to display trophies.

Step-by-step explanation:

Consider an array of 7 places where trophies can be arranged.

Since trophy 1 has 7 places choices, we can place it in any of 7 places.

Similarly trophy 2 has 6 options left to be placed  as we have placed trophy 1 already at one of the place.

Continuing similarly, trophy 3 has 5 options, trophy 4 has 4 options, trophy 3 has 3 options, trophy 2 has 2 options and trophy 1 has only 1 option left in which it can be placed in the array.

Thus, total number of ways to display = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 7!

So, Winnie can arrange  7 trophies in 7! = 5040 ways to display trophies.

 

Rama09 [41]2 years ago
6 0
5,040 I think because 7•6•5•4•3•2•1=5040
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David made a class banner out of a large rectangular piece of paper. He cut a
Irina18 [472]

Answer:

100 in²

Step-by-step explanation:

The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.

The rectangle has a height of 8 inches and width of 14 inches, so its area is:

A = (8 in) (14 in) = 112 in²

The triangle has a base of 8 inches and a height of 3 inches, so its area is:

A = ½ (8 in) (3 in) = 12 in²

So the area of the banner is 112 in² − 12 in² = 100 in².

6 0
3 years ago
What is the length of the diagonal of a square with a side that measures 11 centimeters
timofeeve [1]
A square has 4 equal sides
use pythagroeas theorem since a square has 4 right angles

a^2+b^2=c^2
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11^2+11^2=c^2
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11√2=c

the diagonal legnth is 11√2 centimiters
4 0
3 years ago
Triangle STU is rotated 270 clockwise about the origin to create triangle S'T'U'. If point U of triangle STU is a (a,b), which a
nadya68 [22]

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

6 0
2 years ago
The amount $180.00 is what percent greater than $135.00?
svp [43]
It would be: 180/135 * 100 = 36/27 * 100
= 4/3 * 100
= 400/3 = 133.33

It means, 180 is 133.33% of 135. So, the difference would be: 133.33 - 100 = 33.33%

In short, Your Final Answer would be 33.33%

Hope this helps!
5 0
3 years ago
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Musya8 [376]
The bigger number is 42 and the smaller number is 10
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