Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
Answer:
62 miles
Step-by-step explanation:
The formula for average is given as
Sum of values / Number of values
Let x = miles on the last day
Hence
48 + 51 + 59 + x/4 = 55
Cross Multiply
= 158 + x = 220
x = 220 - 158
x = 62
Therefore, he needs to bike 62 miles on the last day so that his average (mean) is 55 miles per day.
Answer:
<h3><u>C≈131.97cm</u></h3>
A Area
1386cm²
Using the formulas
A=πr²
C=2πr
Solving forC
C=2√πA
=2·√π·1386
≈131.97344cm
Step-by-step explanation:
Hope it is helpful...
Answer:
Step-by-step explanation:
it is a quadratic function.
