Answer:
Hi
Step-by-step explanation:
Hi Im just dioing this for points
Answer:
1) Trepzoid
2) Hexagon
Explanation:
A two-dimensional shape is rotated to form the solid object shown in the figure. This two-dimensional shape can be created by rotating a <u>trapzoid</u> about its base. Another two-dimensional shape that can give this shape is a <u>hexagon</u> rotated about a line joining two opposite vertices.
Trapzoid: It is figure whose two sides are parallel and other two sides are non-parallel. Please take a look attachment for trapzoid. If we rotate trapzoid with longer parallel side we will get same 3-D figure as shown in diagram.
hexagon: It is polygon which has six sides. If we rotate hexagon with their opposite vertices. we will get same 3-D figure as shown in diagram. Please see the attach file.
The formula for Y-intercept is y=mx+b.
b is your y-intercept so in your case the line would go through -4 on the y axis.
m is your slope and your slope is rise over run or y over x. In the equation your slope is 5/1 so 5 up and 1 right. After doing that you get your line after adding another point on the graph.
Answer and Step-by-step explanation: Spherical coordinate describes a location of a point in space: one distance (ρ) and two angles (Ф,θ).To transform cartesian coordinates into spherical coordinates:
For angle θ:
- If x > 0 and y > 0: ;
- If x < 0: ;
- If x > 0 and y < 0: ;
Calculating:
a) (4,2,-4)
= 6
For θ, choose 1st option:
b) (0,8,15)
= 17
The angle θ gives a tangent that doesn't exist. Analysing table of sine, cosine and tangent: θ =
c) (√2,1,1)
= 2
=
d) (−2√3,−2,3)
= 5
Since x < 0, use 2nd option:
Cilindrical coordinate describes a 3 dimension space: 2 distances (r and z) and 1 angle (θ). To express cartesian coordinates into cilindrical:
Angle θ is the same as spherical coordinate;
z = z
Calculating:
a) (4,2,-4)
=
z = -4
b) (0, 8, 15)
= 8
z = 15
c) (√2,1,1)
=
z = 1
d) (−2√3,−2,3)
= 4
z = 3