Answer: The required fourth term of the geometric sequence is
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :
We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by
Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is
Step-by-step explanation:
Use tan relation :
tan85.7=h/80
h=tan85.7×80
h=1063.96ft
Answer- Follow the attachment attached herewith.
Solution-
As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .
If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.
As given in the question, we have move the triangle 4 units right and 5 units down,
The co-ordinate of given triangles'
A = (-1,3)
B = (-5,-3)
C = (2,-1)
∴Then the new co-ordinate will be
A' = (-1+4 , 3-5) = (3,-2)
B' = (-5+4 , -3-5) = (-1,-8)
C' = (2+4 , -1-5) = (6,-6)
