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Ilya [14]
1 year ago
11

Calculate the perimeter and area of this shape. Perimeter =

Mathematics
1 answer:
konstantin123 [22]1 year ago
7 0
<h3><u>Answer</u><u>:</u></h3>

Perimeter → 25cm

Area → 25.5cm²

<h3><u>Explanation</u>:</h3>

perimeter =  > 2.5 \times 2 + 5.5 + 3.5 + 6 + 3 + 2 = 5 + 9 + 9 + 2 = 25

area =  > 3 \times  \frac{1}{2}  \times 2 + 3 \times 3.5 + 6 \times 2 = 3 + 12 + 10.5 = 25.5

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N is a positive integer
Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0
2 years ago
Which points can be used in the diagram as the third vertex to create a right triangle with hypotenuse XY? Select all that apply
Pani-rosa [81]

Answer: (-2,-2)

(3,4)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. Part B: How many term
Anastaziya [24]
A. 9 and 7+2x B. 1 and 2 respectively. C. 2 from 2x
4 0
3 years ago
Mrs. Hall records the heights of 50 students in a spreadsheet. The mean height is 68 inches. After looking at the data again, sh
defon
67.33. You would first find the total height of people. So 50 would be multiplied by 68, giving you the answer of 3,400. After, you would subtract 82 and 86, giving you 3,232. To get the final answer you would divide the value by 48, since two of them are removed, giving you 67.33.
7 0
3 years ago
Read 2 more answers
8x−5x+4−x=Ax+8. Anyone know
lora16 [44]

Answer:

a = \frac{2x-4}{x}

x = \frac{4}{-a+2}

Step-by-step explanation:

Let's solve for a.

8x−5x+4−x=ax+8

Step 1: Flip the equation.

ax+8=2x+4

Step 2: Add -8 to both sides.

ax+8+−8=2x+4+−8

ax=2x−4

Step 3: Divide both sides by x.

Let's solve for x.

8x−5x+4−x=ax+8

Step 1: Add -ax to both sides.

2x+4+−ax=ax+8+−ax

−ax+2x+4=8

Step 2: Add -4 to both sides.

−ax+2x+4+−4=8+−4

−ax+2x=4

Step 3: Factor out variable x.

x(−a+2)=4

Step 4: Divide both sides by -a+2.

Hope this helps!

brainliest?

6 0
2 years ago
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