Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.
Answer:
The area of the circle is 28.26
The area of the circle in terms of pi is 9π
Step-by-step explanation:
radius = half of diameter
d = 6
r = 6/2 = 3
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = pi
a = π * r²
we replace with the known values
a = π * (3)²
a = π * 9
a = 9π
The area of the circle in terms of pi is 9π
9 * 3.14 = 28.26
The area of the circle is 28.26
Answer:
x = 4
Step-by-step explanation:
4(2x+9) = 68
8x+36 = 68
8x = 68 - 36
x = 4
The radius of the soap bubble=6.6 mm
The diameter of the soap bubble=13.2 mm
<u>Step-by-step explanation:</u>
The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.
The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.
The radius of the soap bubble is 6.6 mm.
The diameter of the soap bubble is 13.2 mm
