Answer:
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
so
The perimeter of triangle is equal to
Eliminate parenthesis
Combine like terms
Answer:
m<BA = 180degrees
Step-by-step explanation:
First you must know that measure of <BA is 180 degrees and m<CD = m<BA
Since <CD = 16z - 12, hence;
180 = 16z - 12
16z = 180++12
16z = 192
z = 192/16
z = 12
Get <BA
m<BA = 16z - 12
m<BA = 16(12) - 12
m<BA = 192 - 12
m<BA = 180degrees
A line segment has two endpoints and a ray has one endpoint....
so it is a line segment.
The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
