Answer:
√23/√45 or √23/3√5
Step-by-step explanation:
Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.
Answer:
y = 2x - 5
Step-by-step explanation:
Using the slope intercept formula y2 - y1 / x2 -x1...
You get a slope of 2 so y = 2x +b
Then to find b the intercept, you plug in one of the coordinates like so...
1 = 2(3) + b
Then solve to get an intercept of -5.
So the slope-intercept form would be...
y = 2x - 5
We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
- its the answer
Answer:
1.5789... is the interest rate
Step-by-step explanation:
200 down payment
1320. = 55 times 24 monrhs
----------
1520.00 total paid in 2 years
-1200. original price
---------
320. interest paid to finance company
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0