670 divided by 35% (.35) = 1914.28571429
Rounded to nearest hundredth = $1914.29
Answer:
54.74°
Step-by-step explanation:
Draw a well labelled cube to have a better representation of the question.
A cube is 3-dimensional, therefore it will have coordinates in x,y and z axis. The diagonal of a cube is from one corner to another corner.
Assuming that cube is unit cube, we need to find n angle at one of its edges will make with the diagonal.
I choose the the diagonal and one edge with the unit vector (1,0,0) and (1,1,1).
a = (1,1,1)
b = (1,0,0)
To calculate the angle between two vectors,
a.b = |a||b|cosθ
For simplicity, calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.b = (1,1,1) . (1,0,0)
= (1 × 1) + (1 × 0) (1 × 0)
= 1
Calculating the magnitudes
1. Magnitude of (1,1,1)
2. Magnitude of (1,0,0)
Calculating the angle between the two vectors
cosθ
cosθ
cosθ
θ
θ = 54.7356°
θ ≈ 54.74°
Answer:
a.0.0000053
Step-by-step explanation:
just move the dot to the left six times cause -6
Answer:
19/6 u^3 v + v^2
Step-by-step explanation:
3uv2
u2−2v2+
5uv3
u2+3v2
=32
u3v+−2v2+53
u3v+3v2
Combine Like Terms:
=32
u3v+−2v2+53
u3v+3v2
= (3
u3v+
53
u3v)+(−2v2+3v2)
Answer:
Step-by-step explanation:
The volume of a rectangular box is given to be 2
3 − 2
2 − 44 + 80.
If the length of the box is given to be x+5, what are the dimensions
of the rectangular base of the milk box? Show the complete
solution.
A. (2 − 3)( − 3)
B. (2 − 8)( − 2)
C. (2 + 8)( + 2)
D. ( − 8)( − 2)