Sin J = cos K
sin J = cos (90 - J)
K = 90 - J
sin 60 = cos (90 - 60) = cos 30
Therefore, 60°, 30° satisfy the condition sin J = cos K.
<h2>
Answer:</h2>
The area of the remaining board in square feet is:
108 square feet.
<h2>
Step-by-step explanation:</h2>
The remaining area of board=
Area of the whole board-Area of square which is removed.
i.e.
Area of remaining board= Area of square of side length 12 feet-Area of square with side length 6 feet.
We know that the area of square with side length s units is given by: s² square units
Hence, we get:
Area of remaining board= (12)²-(6)²
i.e.
Area of remaining board= 144-36
i.e.
Area of remaining board= 108 square feet.
Answer:
the fraction of surface that is not covered is 11/36
Step-by-step explanation:
To do this we first have to calculate the two surfaces
s = π * r^2
π = 3.14
r = d/2
d1 = 20
d2 = 24
r1 = 20/2
r1 = 10
r2 = 24/2
r2 = 12
s1 = π * r1^2
s1 = 3.14 * 10^2
s1 = 3.14 * 100
s1 = 314
s2 = π * r2^2
s2 = 3.14 * 12^2
s2 = 3.14 * 144
s2 = 452.16
to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1
s1 / s2 =
314 / 452.16 =
25/36
1 we subtract this
1 - 25/36 = 11/36
the fraction of surface that is not covered is 11/36
