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WINSTONCH [101]
3 years ago
11

A rectangle has a perimeter of 200m. The length to width ratio is 3:2. Find the LENGTH

Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

length = 60m

Step-by-step explanation:

let '3x' = length

let '2x' = width

3x + 3x + 2x + 2x = 200

10x = 200

x = 20

length = 3x = 3(20) = 60

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Find three consecutive positive integers such that the sum of their squares is 2354. What is the largest integer?
Ilya [14]

Answer:

The largest integer is 29.

Step-by-step explanation:

Let the consecutive positive integers are x, x+1 and x+2.

The square of sum of squares of three consecutive positive integers is 2354 such that,

x^2+(x+1)^2+(x+2)^2=2354\\\\x^2+x^2+2x+1+x^2+4+4x=2354\\\\3x^2+6x+5=2354\\\\3x^2+6x- 2349=0

It is a quadratic equation whose solution is given by :

x = 27 and x = -29

First positive integer = 27

Second positive integer = 27+1 = 28

Third positive integer = 27+2 = 29

Hence, the largest integer is 29.

4 0
3 years ago
Can a triangle have sides with the given lengths?<br><br> (a) 4, 7, 10<br><br> (b) 8, 9, 17
soldier1979 [14.2K]

Answer:

yes it can be scaline triangle

8 0
2 years ago
Leon read 5/7 of the pages in his book.He has 28 pages left to read.How many pages has he read already?
Fittoniya [83]
You would first divide 28 by 7.
28 / 7 = 4.
Now multiply 4 by 5.
4 X 5 = 20.

Therefore, Leon read 20 pages.
4 0
3 years ago
Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by<br> combining the equations.
Andreas93 [3]
Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
6 0
3 years ago
I will venmo if someone can please help me
shutvik [7]

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

4 0
3 years ago
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