Answer:
(-3 , 1)(-2,4) (4,5) (2,0)
Step-by-step explanation:
Rotation around center (x₀ , y₀), counterclockwise rotation θ degree
x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀
y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀
A(-2.4) -> counterclockwise rotation 90°
F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3
y = (-2+1)sin90° + (4-2)cos90° + 2 = 1
F (-3 , 1)
Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)
Answer: The volume is 33 cubic centimeters.
Step-by-step explanation:
First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.
So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.
V= 3^2 * 2 /3
V= 9 * 2 /3
V= 18/3
v= 6
So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.
Volume of the a cube uses the formula s^3 where s is the side length.
V= 3^3
v= 3*3*3
v= 27
The volume of the cube is 27.
Add 6 and 27 to find the total volume.
6 +27 = 33
LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.
Answer:
Spencer is correct
Step-by-step explanation:
Because adding 4x to each side will bring both numbers to a positive and that makes it easier to get the answer
Answer:
c
Step-by-step explanation:
