The base is 12cm and the height is 9cm.
b= 12cm
h=9cm
If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
<h3>What is a ratio?</h3>
A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
For this exercise, the ratio of black square to gray squares is given by:
B:G = 1:2
Tripling the pattern, we would multiply by three (3) as follows:
B:G = [1:2] × 3
B:G = 3:6
Dividing all through by 3, we have:
B:G = [3:6]/3
B:G = 3/3 : 6/3
B:G = 1:2.
Read more on ratio here: brainly.com/question/13513438
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The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.
A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).
The first step to solve this problem is to get the expression of this line.
The slope of this line is: m = (0 - b)/(a - 0) = -b/a
Because the point (x,y) is on this line we have: y - b = m(x - 0)
y = (-b/a)x + b
Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx
Answer: 3 is -4
Step-by-step explanation:
Answer:
X=10
Step-by-step explanation: