The central angle lies within the interval from π to 3π/2. To convert angles from degrees to radians, one must multiply the degree measure by 180/π. Similarly, converting radians to degrees requires multiplying the radian measure by 180°/π. For instance, π/2 translates to 90°, π rad converts to 180°, 3π/2 equates to 270°, and 2π corresponds to 360°. Consequently, an angle of 250 degrees, which is between 180 and 270, falls within the range of π to 3π/2.
Response:
0; 10; 20
Detailed explanation:
x serves as the independent variable
y functions as the dependent variable
the value of y relies on x
a) What is the independent variable value that makes the function result in −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Hence, when the independent variable is 0, the function yields -6.
b) What is the independent variable value for which the function equals −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Thus, if the independent variable is 10, the function will give -3.
c) What independent variable value results in a function of 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, for an independent variable of 20, the function results in 0.
Answer:
π
V-foam = 4r³( 2 - ----- )
3
Step-by-step explanation:
Let r denote the radius of the sphere. The volume of the sphere is expressed as
V = (4/3)(π)(r³).
Next, understand that the cube's side length is 2r, hence the cube's volume is
V = (2r)³, which equals 8r³.
The volume of the foam is derived from the cube's volume subtracting that of the sphere:
V-foam = 8r³ - (4/3)(π)(r³). This can be simplified to
π
V-foam = 4r³( 2 - ----- )
3
