Find the volume of the triangular prism
1 answer:
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Answer:
The expression simplifies to .
Step-by-step explanation:
The expression
can be rearranged and written as
In this form the terms in the numerator and in the denominator cancel to give
The are present both in the numerator and in the denominator, so they also cancel, and the fraction
simplifies to
, so finally our expression becomes:
Which is our answer:)
Answer:
Kite
Step-by-step explanation:
To graph quadrilateral with points:
A(-1,-2)
B(5,1)
C(-3,1)
D(-1,4)
Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:
Measure of segment AB= Measure of segment BD = 6.708 units
Measure of segment AC= Measure of segment CD = 3.605 units
Thus, adjacent pair of sides of the quadrilateral are congruent.
Major diagonal BC cuts the minor diagonal AD at point E such that:
Measure of segment AE= Measure of segment ED = 3 units
m∠AEB = m∠DEB = 90°
Thus, major diagonal is a perpendicular bisector of the minor diagonal.
The above stated features fulfills the criterion of a kite.
Hence, the given quadrilateral ABCD is a kite.
Answer:
if union, U means plus,+
if intersect means minus, -
