Answer:
The surface area is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The surface area of a triangular prism is equal to
where
B is the area of the triangular base
P is the perimeter of the triangular face
H is the height of the prism
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
we have
substitute the values
The surface area is
The distance between points S' and S is x= 2.5 units.
<h2>Given that</h2>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.
Point Q is the center of dilation.
Line segment ST is dilated to create line segment S prime T prime.
The length of QT is 1. 2 and the length of QS is 2.
The length of SS prime is x and the length of TT prime is 1. 5.
<h3>We have to determine</h3>What is x, the distance between points S' and S?
<h3>According to the question</h3>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.
Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.
Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.
We know that the corresponding sides of two similar triangles are proportional.
So, from ΔSTQ and ΔS'T'Q.
Hence, the distance between points S' and S is x= 2.5 units.
To know more about Pythagoras Theorem click the link given below.
Answer:
Step-by-step explanation:
We have been given four choices out of which we need to select the choice which is trinomial.
Trinomial means polynomial having three terms.
A) c2 + c + 6
It has 3 terms.
B) c2 − 16
It has 2 terms.
C) −8c
It has 1 term.
D) c3 + 4c2 − 12c + 7
It has 4 terms.
We see that only choice A) has three terms.
Hence correct choice is
