Answer:
length = 8m and width = 5.5m
Step-by-step explanation:
Let the width be w
Length = 2w - 3
Given, Area = 44m2
Remember, area = length x width
Area = (2w - 3) X w. (expand the bracket)
Area = 2w² - 3w
2w² - 3w = 44
2w² - 3w - 44 = 0
Solve the quadratic equation
2 Factors of -44 that the sum would give -3 = +8 & -11
Rewrite the equation
2w² +8w - 11w -44 = 0 (factorise)
2w(w +4) - 11 ( w + 4) = 0
(2w - 11) ( w + 4) = 0
2w - 11 =0 or w + 4 = 0
2w = 11 or w = -4
W = 11/2 or -4
Width = 5.5m because we can't have a width that is negative.
Therefore length = 2w - 3
Length = 2(5.5) - 3
Length = 11 -3
Length = 8m
Dimension of rectangle is length = 8m and width = 5.5m
That is 8m by 5.5m
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Answer:
Step-by-step explanation:
The formula for the area of a circle is , r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however is the exact answer.
Step-by-step explanation:
3x/2 - 2 > 7
3x/2 > 9
3x > 18
x > 6
for the line graphic below it seems you need to calculate x.
please consider that both angles together must be 180°, as they represent the full rotation area around one point on one side of a line.
8x + (4x + 60) = 180
8x + 4x + 60 = 180
12x = 120
x = 10
The period of the graphed function is T = 8.
<h3>
How to get the period?</h3>
For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
If you want to learn more about period.
brainly.com/question/9565966
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