Answer: It is being dilated by a scale factor of 1/3.
Step-by-step explanation:
The pre-image has the coordinates (0,0) (6,0) (6,-3) and (0,-3) and a transformation has been applied to it to get the coordinates of the image to be (0,0) (2,0) (2,-1) ( 0,-1)
Looking at the coordinates we can see that to get from 6 to 2 you will have to multiply by 1/3 and to get from -3 to -1 you will have to multiply by 1/3.
This means that pre-image was dilated by a scale factor of 1/3.
Answer:
x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct
Step-by-step explanation:
The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors
Answer: d. 50
Steps:
1. Find value of x.
5x + 4x = 90
9x = 90
x = 10
2. Use x value to find ∠EDH.
∠EDH = 5x
∠EDH = 5(10)
∠EDH = 50°
Answer:
12 inches
Step-by-step explanation:
Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.
Thus, the top of the cone will also have a radius (r) inches.
Let consider h to be the height of the cone in inches.
So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.
To do that; we need to equate both volumes together and make h the subject of the formula:
The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h
4/3 πr³ = 1/3πr²h
Multiply both sides by 3
4πr³ = πr²h
4r = h
h = 4(3)
h = 12 inches
To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall
