Answer:
74 degrees
The angles are adjacent, since they have a common side (adjacent basically means right next to each other).
Step-by-step explanation:
180 - 106 = 74
Both angles are supplementary, since they add up to 180 (make a straight line together).
If you examine the numbers in the question above very well, you will discover that thy have a distinctive pattern. The pattern is this, you add 3 to the first number and then you multiply the next by 2. Lets go over the numbers now:
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90.
Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
Answer:
increase
Step-by-step explanation:
percentage increase = new value (5) - original value (4) /original value (4) x 100
5-4 = 1
1/4 = .25
.25 x 100 - 25%
percentage decrease = original value -new l value / original value x 100
