62 divided by 495 is 0.125252525...
so we know its repeating
irrational numbers are any numbers that can’t be written as fractions or asdecimals that terminate or repeat.
so we know that it is a rational number
so the answer is A
Answer:
the first one because supplementary means angles which add up to 180 and 180 degrees is a straight line and the third one because they both share the same vertex and side
Step-by-step explanation:
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is
![a(x-x_0)+b(y-y_0)+c(z-z_0)=0](https://tex.z-dn.net/?f=a%28x-x_0%29%2Bb%28y-y_0%29%2Bc%28z-z_0%29%3D0)
Where,
is the point on the plane and
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is
![-2(x-(-10))+5(y-7)+1(z-5)=0](https://tex.z-dn.net/?f=-2%28x-%28-10%29%29%2B5%28y-7%29%2B1%28z-5%29%3D0)
![-2(x+10)+5y-35+z-5=0](https://tex.z-dn.net/?f=-2%28x%2B10%29%2B5y-35%2Bz-5%3D0)
![-2x-20+5y-35+z-5=0](https://tex.z-dn.net/?f=-2x-20%2B5y-35%2Bz-5%3D0)
![-2x+5y+z-60=0](https://tex.z-dn.net/?f=-2x%2B5y%2Bz-60%3D0)
![-2x+5y+z=60](https://tex.z-dn.net/?f=-2x%2B5y%2Bz%3D60)
Therefore, the equation of the plane is
.
Answer:
rate of motorboat: b
rate of current: c
So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$
Step-by-step explanation:
d = rt
200 = (b - c)\cdot 5
200 = (b + c)\cdot 4
b - c = 40
b + c = 50
Adding these equations, we get:
2b = 90
b = 45
So
c = 50 - 45 = 5
<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>
Hope this helps :)