Answer:
the number of miles is 160
Step-by-step explanation:
The computation is given below:
Let us assume the miles be x
For company A
y = $100 + $0.40x
And, for company B
y = $20 + $0.90x
In order to find out the number of miles, the rental cost of the company A should be less than the company B rental cost
SO,
$20 + $0.90x > $100 + $0.40x
Subtract $20 from both sides
0.90x > 80 + 0.40x
Now subtract 0.40x from both sides
0.50x >80
x>160
So the number of miles is 160
38/8 is the answer and to turn it into a mixed number you will have to 4 6/8
Take the cost of the item. Subtract how much you already paid from the cost of the item. Then boom! You got your answer. Hope I helped.
Start from the left-hand side:
4 sec x – 4 cos x
Secant is the reciprocal of cosine:
1
= 4 · ———— – 4 cos x
cos x
4
= ———— – 4 cos x
cos x
Reduce all terms to the same denominator:
4 4 cos² x
= ———— – ——————
cos x cos x
4 – 4 cos² x
= ————————
cos x
Factor out 4 in the numerator:
4 · ( 1 – cos² x)
= ————————— but 1 – cos² x = sin² x
cos x
4 · sin² x
= ——————
cos x
4 · sin x · sin x
= —————————
cos x
sin x
= 4 · sin x · ————
cos x
= 4 · sin x · tan x ✔
I hope this helps. =)