To answer this item, we may divide the given figure into two: (1) upper portion and (2) lower portion.
We solve first for the area of the lower portion figure, that is a rectangle with height equal to 1 unit and length of 5 units.
The area of a rectangle is calculated by multiplying its dimensions as shown in the formula below.
Area = Height x Length
Substituting,
Area = (1 unit) x (5 units) = 5 unit squared
Next, we have the second figure, upper portion. The length of this figure is given to be 2 units. The height is equal to 5 units - 1 unit because the 1 unit was already covered in the first figure. Thus, the height is equal to 4 units.
Solving for the area,
Area = (4 units)(2 units) = 8 units squared
Then, adding up both areas,
total area = (5 unit squared) + (8 unit squared) = 13 units squared
<em>ANSWER: 13 unit squared</em>
Answer:
9.5 gallons
Step-by-step explanation:
12.7 x .75
multiplying by .75 is the easiest way to get 3/4 of something
Answer:
1/3
Step-by-step explanation:
Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
Any transformation that multiplies a variable by something other than ±1 is not a rigid transformation — it involves some sort of dilation. Constants can be added or subtracted to effect translation, but none of the transformations shown here do any translation.
The first transformation is a reflection across the y-axis, hence the rigid transformation you're looking for.
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Comment on rotations
A rotation about the origin can be written in the form ...
(x, y) ⇒ (ax -by, bx +ay)
where a^2 +b^2 = 1 and b/a = tan(angle of rotation)
This rigid transformation is an exception to the statement above about multiplication by something other than ±1.
I believe the answer is .4653!
I hope this helps!