Solution: The dilation of gk by a scale factor of 2 centered at (-2,-4) is 
and 
.
Explanation:
It is given that the scale factor is 2 and center of dilation is (-2,-4).
If the center of dilation is (a,b) with scale factor k, then the dilation of a point P(x,y) is determined by the given formula.
.....(1)
To find the g' substitute x=0, y=0, a=-2, b=-4 and k=2 in equation (1).
To find the k' substitute x=4, y=4, a=-2, b=-4 and k=2 in equation (1).
Therefore, the dilation of gk by a scale factor of 2 centered at (-2,-4) is and .
Answer:
0.2793
Step-by-step explanation:
We are asked to convert 16° to radians.
#We know that 1° is equal to π/180 or 0.01745rad.
To convert any angle degrees to radians, we multiply it by π/180:
Hence, the radians equivalent of 16° is 0.2793
Question:
At noon a tank contains 6 cm of water after several hours it contains 3 cm of water what is the percent decrease of water in the tank
Answer:
The percent Decrease of water in the tank is 50%
Step-by-step explanation:
Given:
Initial amount of water in the tank at the noon = 6 cm
amount of water remained in water after several hours = 3 cm
To Find:
The percent decrease =?
Solution:
The percent decrease in the tank
=>
Substituting the values
=>
=>
=>
=> 50
Let a chord join YZ, then angle XYZ = 90° and angle XZY = 90 - 54 = 36°
angle OYZ = angle XZY = 36°
Therefore, the measure of YZ = 180 - 36 - 36 = 108°
