Tell whether the sequence is arithmetic. if it is, what is the common difference? 1, 1 1/8, 1 1/4, 1 3/8
1 answer:
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Answer:
The value of is 2.
Step-by-step explanation:
The standard form of the equation of the line is of the form:
Where:
,
- Independent and dependent variable, dimensionless.
- Slope, dimensionless.
- y-intercept, dimensionless.
Given that line is perpendicular to
, the slope is equal to:
Where is the slope of the perpendicular line, dimensionless.
If , then:
If and
, the y-intercept of the line
is:
The equation of the line is
. Given that
and
, the value of
is:
The value of is 2.
The area of the composite figure from the image attached is 112.5 units²
<h3>What is the area of a composite figure?</h3>The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.
From the given figure; we can break it down into:
- A parallelogram
- A rectangle
- A triangle
The area of a parallelogram = b × h
where;
- b & h refers to the length of the two opposite diagonal lines.
The area of a parallelogram = 9 × 6
The area of a parallelogram = 54 units²
The area of a rectangle = Length × breadth
The area of a rectangle = (9 × 3) units²
The area of a rectangle = 27 units²
The area of the triangle
where;
- Base = b
- Height = h
The area of the triangle
The area of the triangle
The area of the triangle
Therefore, the area of the composite figure is:
= 54 + 27 + 31.5
= 112.5 units²
Learn more about composite figures here: