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kodGreya [7K]
3 years ago
11

The perimeter of a rectangle is 90 centimeters. The length is 27 centimeters.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

Answer: 18 cm

Step-by-step explanation:

the perimeter of a rectangle = 2 equal sides + 2 different equal sides

27cm + 27cm = 54cm

90cm - 54cm = 36cm

36cm/2 = 18 cm

27+27+18+18= 90

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Round 4,088,432 to the nearest million
olasank [31]

Answer:

4,000,000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Using the bijection rule to count binary strings with even parity.
AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

  • f(a) = a c {1} if a has an odd number of 1's
  • f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f   is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

  • If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
  • If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

3 0
3 years ago
Use long division to calculate 276 ÷ 15
Alja [10]

Answer:

18.4

Step-by-step explanation:

7 0
3 years ago
tom and lisa each had a birthday party at hurricane harbor last weekend . the cost of admission was $137.50 for 13 children and
gregori [183]

Answer:

Per child admission costs $8.5

Per Adult admission costs $13.5

Step-by-step explanation:

Let x be the amount of admission per child and y be the amount of admission per adult

For Tom's party:

13x+2y=137.50      (Equation 1)

For Lisa's Party:

9x+2y=105.50       (Equation 2)

Using Elimination Method:

Add Equation 1 & 2

13x+2y=137.50

9x+2y=105.50  

-    -   = -         (Change of Signs)

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

4x+0y=34.00      

x=34/4

x=8.5

Putting the value of x in Equation 2

13(8.5)+2y=137.50

110.5+2y=137.50

2y=137.50-110.50

2y=27

y=27/2

y=13.5

4 0
2 years ago
3 x 104 + 2.5 x 105 =<br> A. 0.5 x 105<br> B. 2.8 x 105<br> c. 3.25 x 10$<br> D. 5.5 x 10
s2008m [1.1K]
Well I’m getting 574.5 for the first one and not getting the same for any of them.
8 0
3 years ago
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