Answer:
A. v = 19√3.
B. u = 38.
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 60°
Adjacent = 19
Opposite = v
Hypothenus = u
A. Determination of the value of 'v'
The value of v can be obtained by using Tan ratio as shown below:
Angle θ = 60°
Adjacent = 19
Opposite = v
Tan θ = Opposite /Adjacent
Tan 60 = v/19
Cross multiply
v = 19 × Tan 60
Tan 60 = √3
v = 19 × √3
v = 19√3
Therefore, the value of v is 19√3
B. Determination of the value of 'u'
The value of u can be obtained by using cosine ratio as shown below:
Angle θ = 60°
Adjacent = 19
Hypothenus = u
Cos θ = Adjacent /Hypothenus
Cos 60 = 19/u
Cos 60 = 1/2
1/2 = 19/u
Cross multiply
u = 2 × 19
u = 38
Therefore, the value of u is 38.
Answer:
28
Step-by-step explanation:
Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
Answer:
-2
Step-by-step explanation:
15x+6=6x-12
15x-6x=-12-6
9x=-18
x=-2
Answer:
27.23
Step-by-step explanation:
60.50 divided by .45
