Answer:
Find the attached
Step-by-step explanation:
We have been given the following expression;
(x-2)=5(x+1)
We are required to determine the graph of the solution set. To do this we formulate the following set of equations;
y = x - 2
y = 5(x+1)
We then graph these two equations on the same cartesian plane. The solution will be the point where these two graphs intersect.
Find the attachment below;
Answer: sqrt(58)
Step-by-step explanation:
Answer:
a) Area of the base of the pyramid =
b) Area of one lateral face =
c) Lateral Surface Area =
d) Total Surface Area =
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle.
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>
Hence,
a) Area of the base of the pyramid =
b) Area of one lateral face =
c) Lateral Surface Area =
d) Total Surface Area =