The sine of one acute angle is equal to the cosine of another when their sum is 90°.
.. (2β +10°) +(3β -25°) = 90°
.. 5β -15° = 90°
.. 5β = 105°
.. β = 21°
Then your equation becomes
.. sin(52°) = cos(38°)
The answer is 2/25, this should be hepful!
The sample proportion of the the students that took fewer than the mean number of electives is given by the number of people who took less that the mean number of electives (i.e. 7.63) divided by the total number of students in the sample (i.e. 19). The total number of people who took less than 7.63 electives is 10. Therefore, the required sample proportion is 10 / 19.
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Lets look at the information we have:-
6.8 pounds on Sunday
8.75 pounds on Monday
How many pounds did he collect together on these 2 days?
Add:-
6.8 + 8.75 = 15.55
Dan collected 15.55 pounds of aluminum on these 2 days.
CHECK OUR WORK:-
15.55 - 8.75 = 6.8
We were RIGHT!!
So, Dan collected 15.55 pounds of aluminum on these 2 days.
Hope I helped ya!! xD
Answer:
The top lines in the middle of the envelope are 45 degree angles, and the rest are 180 degrees, and 90 degrees.
Step-by-step explanation: