Answer:
Step-by-step explanation:
- cotx cos x - cot x = 0
- cotx( cosx - 1) = 0
1. <u>cotx = 0</u>
- x = π/2 + πn
- In the interval [0, 2π] we have π/2 and 3π/2
2. <u>cosx = 1</u>
- x = 0 + 2πn
- In the given interval we have 0 and 2π
<u>So the solution set is:</u>
Answer: 3cm
Explanation:
We can use Pythagorean’s theorem to find that other side:
a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3
Therefore, the other side is 3cm
Step-by-step explanation:
are you sure the fuel consumption is given by 6,8 km/l ?
normally it is given by l/100km.
but ok, let's assume this is correct.
it would mean the car can drive 6,8 km with every liter of fuel in the tank.
how many liters will the car need to go 450 km ?
well, as many liters as 6,8 fits into 450 :
450/6,8 = 66.17647059... liters
this is not a very fuel efficient car ...
The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
34+0+18+26
34+18+26
52+26
78
The sum is 78