7. -8/3
8. 4/35
9. -21/50
10. 35/64
11.-25/54
Answer:
The answer is the third choice 3
Step-by-step explanation:
First you undo by doing the opposite 31 - 7 = 24 now we undo the 8 by undoing 24 divided by 8 is 3
Answer:
Step-by-step explanation:
cos43=60/AC
AC=60/cos43=82.04
cos27=60/BC
BC=60/cos27=67.34
sin(90-43)/BC=sin(43+27)/AB
AB=BCsin70/sin47
AB=67.34sin70/sin47
AB=86.522
P=86.522+67.34+82.04
P=235.9m
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
The concept to answer this question can be bought from physics.
The Snell's law of refraction says that, the ration of sine of angle of incidence to the the sine of angle of refraction is constant for a given media.
This means;
(sinθ1)/(sinθ2) = k
Where θ1 = angle of incidence and
θ2 = angle of refraction
k = constant
(sinθ1)/(sinθ2) = k
sinθ2 = k/sinθ1
= k/sin25
= k/0.422618261
= 2.366k
The angle of refraction, θ2 = anti-sin(2.366k)
