Answer:
13π/4 , 21π/4, -3π/4, -11π/4
Step-by-step explanation:
Coterminal Angles are angles which share the same initial side and terminal sides.
To find coterminal angles, simply add or subtract 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
5π/4 =(4π/4)+(π/4)
Our Angle 5π/4 is in the 3rd quadrant and exceeds π radians by (π/4) radians, or 45° angular measure.
The 2 positive co-terminal angles would be:
Adding 2π
5π/4 + 2π = 13π/4
Adding another 2π
5π/4 + 2π +2π = 21π/4
The two negative co-terminal angles would be:
Subtracting 2π
5π/4 - 2π = -3π/4
Subtracting another 2π
5π/4 - 2π -2π = -11π/4
The coterminal angles are:
13π/4 , 21π/4, -3π/4, -11π/4
Answer: 210
Step-by-step explanation:
55×12=660-500=160+50(down payment)=210
<u>Answer-</u>
<em>You need to deposit $337.62 each month, to reach this goal.</em>
<u>Solution-</u>
We know that,
![\text{FV of annuity}=P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=%5Ctext%7BFV%20of%20annuity%7D%3DP%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
Where,
P = periodic payment
r = rate per period
n = number of period
Here,

Putting the values,
![\Rightarrow 2500000=P[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]](https://tex.z-dn.net/?f=%5CRightarrow%202500000%3DP%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D)
![\Rightarrow P=\frac{2500000}{[\frac{(1+\frac{9}{1200})^{540}-1}{{\frac{9}{1200}}}]}](https://tex.z-dn.net/?f=%5CRightarrow%20P%3D%5Cfrac%7B2500000%7D%7B%5B%5Cfrac%7B%281%2B%5Cfrac%7B9%7D%7B1200%7D%29%5E%7B540%7D-1%7D%7B%7B%5Cfrac%7B9%7D%7B1200%7D%7D%7D%5D%7D)



See the attached picture to better understand the problem
we know that
in the right triangle ABC
cos 70=adjacent side angle 70/hypotenuse
adjacent side angle 70=BC----> <span>distance between the ladder and the tree trunk
hypotenuse=AC------> 15 ft
cos 70=BC/AC-------> solve for BC
BC=AC*cos 70------> BC=15*cos 70-----> BC=5.13 ft
the answer isthe </span>
distance between the ladder and the tree is 5.13 ft<span>
</span>
The answer to this part would be 4.25+1 and subtract 1 would make 4.25
The answer is 4.25