Answer:
100 and 80
Step-by-step explanation:
Let x = be the first angle
x-20 is the second angle
They are supplementary so they add to 180
x+x-20 = 180
Combine like terms
2x-20 =180
2x-20+20 =180+20
2x= 200
Divide by 2
2x/2 = 200/2
x= 100
The first angle is 100 and the second is x-20
x-20 = 100-20=80
The two angles are 100 and 80
12 three credit classes and two 2 credit classes
EXPLINATION:
12x3=36
2x2=4
And when you add you’re products together you get you get 40
Answer:
AB = -10
Im confused is this what you wanted?
Answer:
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B900%7D%7D)
Step-by-step explanation:
A road is perpendicular to a highway leading to a farmhouse d miles away.
An automobile passes through the point of intersection with a constant speed
= r mph
Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.
Then by Pythagoras theorem,
h² = d² + x²
By taking derivative on both the sides of the equation,
![(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}](https://tex.z-dn.net/?f=%282h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3D%282x%29%5Cfrac%7Bdx%7D%7Bdt%7D)
![(h)\frac{dh}{dt}=(x)\frac{dx}{dt}](https://tex.z-dn.net/?f=%28h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3D%28x%29%5Cfrac%7Bdx%7D%7Bdt%7D)
![(h)\frac{dh}{dt}=rx](https://tex.z-dn.net/?f=%28h%29%5Cfrac%7Bdh%7D%7Bdt%7D%3Drx)
![\frac{dh}{dt}=\frac{rx}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7Brx%7D%7Bh%7D)
When automobile is 30 miles past the intersection,
For x = 30
![\frac{dh}{dt}=\frac{30r}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7Bh%7D)
Since ![h=\sqrt{d^{2}+(30)^{2}}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7Bd%5E%7B2%7D%2B%2830%29%5E%7B2%7D%7D)
Therefore,
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B%2830%29%5E%7B2%7D%7D%7D)
![\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%3D%5Cfrac%7B30r%7D%7B%5Csqrt%7Bd%5E%7B2%7D%2B900%7D%7D)
Point A is on the 4th circle from the center, each circle has a radius of 1, so the 4th circle has a radius of 4. The point is also on the angle labeled 5PI/6.
The polar coordinate would be (4, 5PI/6)
Point C, you are given (-3,pi/3)
Because the radius is positive find the 3rd circle, which would be r = 3, Then find where PI/3 is on the circle and find the value opposite that which is 4pi/3