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aivan3 [116]
3 years ago
11

What geometric shape is modeled by a stripe on a flag

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

Answer:

rectangle

Step-by-step explanation:

The geometric shape that is modeled by a strip on a flag would be a rectangle. That is because just like a rectangle the shape has a total of four sides in which both parallel sides are equal in length to its matching counterpart but at the same time different from its adjacent sides. All of which are characteristics of a rectangle and at the same time found on all strips of flags.

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Given: 1; -5; -13 ; -23 ; ...<br><br> Derive a formula for the nth term in the pattern.
mylen [45]

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

3 0
3 years ago
Which of the following expressions is equal to 5 to the 6th power divided by 5 to the 5th power
Jobisdone [24]
Asey

remember
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\frac{5^6}{5^5}=5^{6-5}=5^1=5

8 0
3 years ago
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Svetradugi [14.3K]

Answer: the length is 8

Step-by-step explanation:

3 0
3 years ago
To mail some envelopes, Jason needs 16 stamps that cost 32¢ each and 8 stamps that cost 24¢ each. Which number sentence could be
stepan [7]
16(0.32) + 8(0.24) = c
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Roman55 [17]

Volume is length x width x height.

A cube has the same length, width and height.

The volume of the cube is 2 x 2 x 2 = 8cm

Answer: 8 cm

Happy to help!

8 0
3 years ago
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