Answer: Ф = 20
Step-by-step explanation:
sin2Ф = cos (Ф+ 30 )
if sinα = cosβ , then α and β are complementary ,that is they add up to be
.
Therefore : 2Ф + Ф + 30 = 90
3Ф + 30 = 90
3Ф = 90 - 30
3Ф = 60
Ф = 20
Answer:
<em>Average rate of change is </em><em>-78.</em>
Step-by-step explanation:
A talent competition on television had five elimination rounds. After each elimination, only one-third of the contestants were sent to the next round.
The table that shows the number of contestants in each round of the competition is,
x f(x)
1 243
2 81
3 27
4 9
5 3
Average rate of change is the change in the y-value divided by the change in the x-value for two points on the graph.
i.e 
So, the average rate of change of
from
to
is,




Since f(x) is decreasing, so rate of change is negative.
Answer:
14. 58 degrees
16. 11 degrees
Step-by-step explanation:
14. The sum of all 3 interior angles of a triangle is 180. We know right angles are 90 degrees. So 180 - 90 - 32 = 58 degrees
16. When two parallel lines are cut by a transversal, the corresponding angles have the same measure. So the angle above angle a has the same measure as the 169 degree angle in the same position on the other line. I hope those words make sense. Then angle a and the angle above it (which we know = 169 degrees) combine to make a straight line/straight angle, which = 180 degrees. 180- 169 = 11
Please let me know if you have questions.
Your answer is (in my opinion): 11.7in wide.
Just becuse the hight changed it does NOT mean that the width changed.
0 it has no simplest form