Answer:
a) 0∘ and 360∘
b) 300∘ and 60∘
c) 90∘ and 270∘
d) 180∘
Step-by-step explanation:
θ(0<=θ<=360∘)
then
a)
F=1/2(1−cosθ)
Putting F= 0
we get
0 = 1/2 (1−cosθ)
(1−cosθ) = 0
cosθ = 1
θ = 
(1)
= 0∘ and 360∘
b) If F = 0.25
then putting values
1/4 = 1/2 (1−cosθ)
(1−cosθ) = 1/2
cosθ = 1/2
θ = (1/2)
= 300∘ and 60∘
c) If F = 0.5
then putting values we get
1/2 = 1/2 (1−cosθ)
(1−cosθ) = 1
cosθ = 0
θ = (0)
= 90∘ and 270∘
d) If F = 1
then putting values we get
1 = 1/2 (1−cosθ)
(1−cosθ) = 2
cosθ = -1
θ = (-1)
= 180∘
So after these calculation we determine the vales of angles that are given uper.
20 students
We know that 5% of 100 is 5
And 5% of 200 is 10
5% of 300 is 15
So that must mean 5% of 400 is 20
Answer:
The answer is 10^2 x 10^2.
The present age of Paul is 52 years and the present age of Matt is 10 years.
We are given that two years ago, Paul = 7 times as Matt
Let the current age of Matt be x and of Paul be y
2 years ago, we will have that:
Age of Matt = x - 2
So, we get the equation as:
Age of Paul = 7 ( x - 2) = 7 x - 14
y - 2 = 7 x - 14
y = 7 x - 14 + 2
y = 7 x - 12
Also, we are given that to year from now, Paul = five times Matt
We get that:
y + 2 = 5 ( x + 2)
y + 2 = 5 x + 10
y = 5 x + 10 - 2
y = 5 x + 8
So, we get:
7 x - 12 = 5 x + 8
7 x - 5 x = 8 + 12
2 x = 20
x = 20 / 2
x = 10
y = 5 (10) + 2
y = 50 + 2
y = 52
Therefore, the present age of Paul is 52 years and the present age of Matt is 10 years.
Learn more about equation here:
brainly.com/question/1214333
#SPJ4
Answer:
Second Job
Step-by-step explanation:
I would take the second job because you will make more. And it has sick time in addition to vacation.
First job:
$15x40=$600 then add in overtime which will be paid at $22.50 (time and half) so $22.50x5=$112.50. Add the two together $600+112.50=$712.50 weekly.
Second job:
$38,000/52=$730.77 weekly
