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Rufina [12.5K]
3 years ago
8

The perimeter of a rectangle is 86cm. Its shortest side has a length of 16cm. State the length of the longest side.

Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer: length = 27 cm

Step-by-step explanation:

Perimeter = 2(l + w)

86 = 2(l + 16)

86 = 2l + 32

86 - 32 = 2l

l = 54/2 = 27 cm.

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A rectangular picture frame has a width of 9 cm and a length of x cm.
Fantom [35]

Answer:

x+9

Step-by-step explanation:

the perimeter of any polygon is the sum of all the sides

7 0
3 years ago
Which expression is a difference of squares with a factor of 2x + 5? 4x2 + 10 4x2 – 10 4x2 + 25 4x2 – 25
Shtirlitz [24]

Answer:

  4x^2 -25

Step-by-step explanation:

The other factor of the difference of squares is the "conjugate" of the given one: (2x -5). Then their product is ...

  (2x +5)(2x -5) = (2x)^2 -(5)^2 = 4x^2 -25

5 0
3 years ago
Read 2 more answers
Mr. Osterhout is putting trim around the edge of a circular merry-go-round that has a diameter of 15 feet. How much trim does he
Lubov Fominskaja [6]
Given:
circular merry-go-round that has a diameter of 15 feet.

Find: How much trim does he need to buy to put around the edge of the merry-go-round?

We need to find the circumference of the merry-go-round to get the measurement of the trim needed.

Circumference = π d
π = 3.14
d = diameter = 15 feet

Circumference = 3.14 * 15 feet
Circumference = 47.10 feet.

Mr. Osterhout needs to buy 47.10 feet of trim to put around the circular merry-go-round.
8 0
3 years ago
I would like to know the value of b and c
Ratling [72]

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

8 0
2 years ago
What is 12 - 8 and 3/4
kenny6666 [7]
12-8 is 4 and 3/4 is 75% if that is what youre asking but specify
6 0
3 years ago
Read 2 more answers
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