The given vector is
8i + 6j
The angle can be calculated using
θ = tan⁻¹ (b/a)
where b and a are determined from
ai + bj
θ = tan⁻¹ (6/8) = 36.9 degrees
The angle between the vector and the positive x-direction is 36.9 degrees.
Answer:
1/21
Step-by-Step Explanation:
Let's solve your equation step-by-step.
3(1−5x)=2(3x+1)
Step 1: Simplify both sides of the equation.
3(1−5x)=2(3x+1)
(3)(1)+(3)(−5x)=(2)(3x)+(2)(1)(Distribute)
3+−15x=6x+2
−15x+3=6x+2
Step 2: Subtract 6x from both sides.
−15x+3−6x=6x+2−6x
−21x+3=2
Step 3: Subtract 3 from both sides.
−21x+3−3=2−3
−21x=−1
Step 4: Divide both sides by -21.
-21x/-21=-1/-21
x=1/21
There are 6 cubes in the last figure. Just count them
The volume of each cube individually is 1 so 6 * 1 = 6 units cubed
