Answer:
Step-by-step explanation:
To understand the transformation better we will take a point B first.
Coordinates of B → (3, 0)
When we rotate this point by 180° counterclockwise about the origin, rule to be followed,
(x, y) → (-x, -y)
By this rule, coordinates of B'' will be,
B(3, 0) → B''(-3, 0)
Now we translate the point B by 2 units right.
Rule for the translation is,
(x, y) → [(x + 2), 0]
Following this rule,
B''(-3, 0) → B'[(-3+2), 0]
→ B'(-1, 0)
We can conclude with the statement, "Figure ABCD was rotated by 180° about the origin followed by the translation of 2 units to the right" to get the new figure A'B'C'D' similar to pre-image ABCD.
376,225
825,150 visitors total, minus 448,925 visitors in September equals 376,225 in October.
Answer:
8%
Step-by-step explanation:
110000 - 101200 = 8800 (change)
change/original price X 100
8800/110000 = 0.08
0.08 X 100 = 8
Multiply the length of the box, in cubes, by the width and height.
Answer:
R = 30
Step-by-step explanation:
Given y is directly proportional to R² then the equation relating them is
y = kR² ← k is the constant of proportion
To find k use the condition when R = 4, y = 24, then
24 = k × 4² = 16k ( divide both sides by 16 )
1.5 = k
y = 1.5R² ← equation of proportion
When y = 1350 , then
1350 = 1.5R² ( divide both sides by 1.5 )
900 = R² ( take the square root of both sides )
= R , that is
R = 30