8. 70.5* 10. 30* 12. 5.1*
Answer:
15 gallons by car 1
35 gallons by car 2
600 miles on car 1
875 miles on car 2
Step-by-step explanation:
An example is the number 5i
Answer:
Verify the following identity:
sec(x) sin(x) + csc(x) cos(x) = tan(x) + cot(x)
Write cotangent as cosine/sine, cosecant as 1/sine, secant as 1/cosine and tangent as sine/cosine:
1/cos(x) sin(x) + 1/sin(x) cos(x) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
(cos(x)^2 + sin(x)^2)/(cos(x) sin(x)) = ^?cos(x)/sin(x) + sin(x)/cos(x)
Put cos(x)/sin(x) + sin(x)/cos(x) over the common denominator sin(x) cos(x): cos(x)/sin(x) + sin(x)/cos(x) = (cos(x)^2 + sin(x)^2)/(cos(x) sin(x)):
((cos(x)^2 + sin(x)^2)/sin(x))/cos(x) = ^?(cos(x)^2 + sin(x)^2)/(cos(x) sin(x))
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Step-by-step explanation:
1 page = 30/40 = 3/4 min
Number of pages left to read = 180 - 40 = 140
Additional time needed = 140 x 3/4 = 105 mins
Answer: 105 mins