Answer:
90°, 270°
Step-by-step explanation:
2r sin(Ф/2) = c
2r sin (Ф/2) = √2r
divide both sides by 2r
sin (Ф/2) = √2r/2r
sin(Ф/2) = √2/2
From the unit circle sin is √2/2 at 45°, and 135°
so Ф/2 = 45
Ф=90°
and Ф/2 = 135
Ф= 270°
Answer:
d 20.4 years
Step-by-step explanation:
The equation is
A = Pe ^(rt)
We know that r = .034
We want the money to double so A = 2P
Substitute in
2P = P e ^(.034t)
Divide by P
2P/P = P/P e ^(.034t)
2 = e^ (.034t)
Take the natural log on each side
ln (2) = ln(e^ (.034t))
ln (2) = .034t
Divide by .034
ln (2) /.034 = .034t/.034
ln (2)/.034 = t
20.3867 =t
Answer: 2:3
Step-by-step explanation:
Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42
Answer: x = 83 (x representing the next homework assignment)
Step-by-step explanation: