Cos( A + B ) = cosAcosB - sinAsinB ;
cos( A + B ) / ( cosAsinB ) = ( cosAcosB - sinAsinB ) / ( cosAsinB ) = ( cosAcosB ) / ( cosAsinB ) - ( sinAsinB ) / ( cosAsinB ) = cosB / sinB - sinA / cosA = cotB - tanA ;
Answer:
Step-by-step explanation:
Given as :
The distance cover while running =
= 5 miles
Let The speed for running = 
The distance cover with bike =
= 80 miles
The speed for biking =
= 15 mph + 
Total Time taken = 5 hours
Now Time = 
∴ 5 hour =
+ 
Or, 5 hour =
+ 
Or, 5 hour = 
or, 5 × (
) = 
Or,
-
= 0
or,
= 0
or,
= 0
Or,
= 0
Or,
= 0
Or,
= 0
∴
= 3 , - 5
So, the running speed = 3 mile per hour
And the biking speed = 15 mph + 3 mph = 18 mile per hour
Hence The running speed of Stu is 3 mile per hour . Answer
Answer:
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4.7944 x 10^2 hope this helps!
The number of students who do not like puzzles and ride the bus to school is 205
To find the answer it is necessary to do the following procedure:
To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.
- 2000 ÷ 5 = 400
- 400 × 2 = 800
From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.
Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)
So the answer is 205 students ride the bus and they don't like puzzles.
Learn more at: brainly.com/question/24558946