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IRINA_888 [86]
4 years ago
5

The length of a rectangle is 4 more than twice the width. If the perimeter of the rectangle is 104 centimeters, what are the len

gth and width of the rectangle?
please helpp
Mathematics
2 answers:
qaws [65]4 years ago
7 0

Answer:

Make Width = 'x'

Length = 4 + 2x

Perimeter = 2 x Width + 2 x Length

86 = 2(x) + 2(4 + 2x)

86 = 2x + 8 + 4x

Collect like terms:

2x + 4x = 86 - 8

6x = 78

x = 13

Width = 13 cm

Length = 30 cm

Step-by-step explanation:

pogonyaev4 years ago
5 0
Width=13
Length=30.........
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An arithmetic series consists of consecutive integers that are multiples are of 4. What is the sum of the first nine terms of th
Mrac [35]

Answer:  The answer is 144.


Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).

According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.

The sum of first n terms is given by

S_n=\dfrac{n}{2}\{2a+(n-1)d\}.

So, the sum of first 9 terms is

S_9=\dfrac{9}{2}\{2\times 0+(9-1)\times4\}=\dfrac{9}{2}(8\times 4)=144.

Thus, the required sum is 144.


4 0
4 years ago
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One of one hundred equal parts
Step2247 [10]
1/100 as a fraction is what you're looking for, I assume. 1 over 100, one part of one hundred equal parts.
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3 years ago
Find the diameter of the circle whose area is 2464 cm²<br>with explanation.​
stepan [7]

Answer:

d≈56.01cm

A Area

2464

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Using the formulas

A=πr2

d=2r

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Step-by-step explanation:

7 0
3 years ago
Which binomial is a factor of 49x2 + 84 xy + 36y2?
bezimeni [28]

Answer:

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

Step-by-step explanation:

Given expression is 49x^2+84xy+36y^2

To find the binomial factor :

49x^2+84xy+36y^2

Rewritting the above expression as

=7^2x^2+2(7)(6)xy+6^2y^2

=(7x)^2+2(7x)(6y)+(6y)^2

=(7x+6y)^2 ( using the formula =(a+b)^2=a^2+2ab+b^2 here a=7x and y=6y )

=(7x+6y)(7x+6y) ( using the formula =(a+b)^2=(a+b)(a+b) )

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

7 0
3 years ago
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