<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>
The perimeter of a rectangle is given by:
In the problem we have these data:
- Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20)
</h3>
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:
We have these data:
We replace the data in the equation of the area:
<h3>Area = (3) (- 2x + 20)
</h3>
We apply the distributive property and obtain:
Area = -6x + 60
<u>The expression representing the area of the rectangle will be -6x + 60</u>
<h3>I hope I've helped!</h3>
Answer: 3 for the first one. and 2 for the second
Am i supposed to multiply? 5 times 3 equals 15
Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
Find out more on equation at: brainly.com/question/2972832
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