Answer:
- rotate CCW 90°, reflect across the x-axis
- (x, y) ⇒ (-y, -x) . . . . . both transformations together
Step-by-step explanation:
The vertex order ABC is clockwise in the original figure and also in the first image: A'B'C'. The altitude from AC to B is up in the original and left in the first image, indicating a rotation 90° CCW.
The first transformation is a rotation 90° CCW.
The vertex order of A''B''C'' is CCW, indicating a reflection. The direction of the altitude from A''C'' to B'' is still to the left, so the reflection must be over a horizontal line. We find the x-axis bisects the segments A'A'', B'B'', and C'C'', confirming that it is the line of reflection.
The second transformation is reflection across the x-axis.
_____
Algebraically, the transformations are ...
1st: (x, y) ⇒ (-y, x)
2nd: (x, y) ⇒ (x, -y)
Both together: (x, y) ⇒ (-y, -x).
Answer:
450cm3 or 450 cube cm.
Step-by-step explanation:
Formula = Length x Width x Height
So,
5 x 7.5 x 12 = 450cm3
Answer:
The volume of the light sphere is 2355in³
Step-by-step explanation:
We know that the formula to calculate the volume of a sphere is
v = 3/4 * π * r³
we know that the diameter is 20in but we need to know the radius, the radius is half the diameter
r = 1/2 * 20in
r = 10 in
π = 3.14
we replace the values and calculate the volume of a sphere
v = 3/4 * 3.14 * (10in)³
v = 3/4 * 3.14 * (1000in³)
v = 2355in³
The volume of the light sphere is 2355in³
L+8=W
L*W=65
sub W from the first equation to second one
L*(L+8)= 65
L^2+8L =65 L^2+8L -65 =0 L=-13 and L=5, length cannot be negative so L=5 is the answer
sub this value in the first equation W=13
Your answer will be A
Hope this helps!
