In order for the sine and cosine to be equal, the angles must be complementary
sin (7x-15) = cos (3x+5)
7x-15+3x+5 =90 (because sum of both angles a and b must be 90)
10x -10 = 90
10x = 100
x =10
One angle = 7x-15= 7*10-15 = 70-15 =55
Other angle = 3x +5 = 3*10+5 = 30+5 = 35
Since B is less than A, A = 55 degrees and B = 35 degrees
Since we need B, B = 35 degrees
Answer:
Mean  absolute deviation = 6.4
Step-by-step explanation:
Given : Data  45, 38, 52, 58, and 42 hours.
To find : What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.
Solution : We have given that
45, 38, 52, 58, 42
Mean Deviation = Σ|x − μ|/N.
Where, x = Â given values like 45,38...etc
      μ = mean .
    N  = total number of values .
We need to find mean =
  Mean (  μ ) = 47.
|x − μ| = |45 − 47| = 2
|38− 47| = 9
|52− 47| = 5
|58− 47| = 11
|42− 47| = 5
Then Mean Deviation =
Mean  absolute deviation = 6.4
Therefore ,Mean  absolute deviation = 6.4
Answer:
Instantaneous Velocity is
Step-by-step explanation:
Velocity refers to the speed along with direction or we can say velocity refers to rate of change of position of an object with respect to time.
Let be the position of object . Then the instantaneous velocity is given by
. At time
, velocity is given by
Given:
On differentiating with respect to time t , we get :
At ,
Answer: Â
Step-by-step explanation:
Given: The number of choices in in each question =3
Therefore, the probability of guessing the right answer is given by :-
Since, the probability of advancing to the seventh round is product of probability of answering correctly in all the preceding rounds i.e in previous 6 rounds.
Therefore, the probability of advancing to the seventh round if the contestant randomly guesses the answer to each question is given by :-