Answer:D
Step-by-step explanation:
Radius=r=8
Φ=2π/3
π=180
2π=360
length of arc=Φ/360 x 2 x π x r
Length of arc=(2π/3 ➗ 2π) x 2 x π x 8
Length of arc=(2π/3 x 1/2π) x 2 x π x 8
Length of arc=((2πx1)/(3x2π)) x 2 x π x 8
Length of arc=2π/6π x 2 x π x 8
Length of arc=1/3 x 2 x π x 8
Length of arc=(1 x 2 x π x 8)/3
Length of arc=16π/3
2/3(4/3)= 8/9
Jovan ran 8/9 of a mile in a full hour.
Hope this helps!
Answer:
18, -3
using the formula for midpoint M=(x1+x2)/2 ,(y1+y2)/2
when given SAS, the area (A) of the triangle = (side1 · sin θ · side2)/2
A = (36 · sin 45° · 36)/2
= (36² · √2)/4
= 9 · 36 · √2
= 324√2
≈ 458.2
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]