Answer:
Step-by-step explanation:
We want to rewrite the following as a single logarithm:
We introduce logarithm in the first term to get:
Recall that:
We apply this property to get:
This gives:
5x-39.2
You get this answer my combining like terms
Answer:
26cm
Step-by-step explanation: we want a triangle with shorter sides (smaller perimeter) and we got 2 similar triangles , since triangles are similar the corresponding sides would be in ratio.
To get triangle of shorter perimeter we have to use the longest side of
△
A
B
C
put 6cm side corresponding to 12cm side.
Let
△
A
B
C
~
△
D
E
F
6cm side corresponding to 12 cm side .
therefore,
A
B
D
E
=
B
C
E
F
=
C
A
F
D
=
1
2
So the perimeter of ABC is half of the perimeter of DEF .
perimeter of DEF =
2
×
(
3
+
4
+
6
)
=
2
×
13
=
26
c
m
answer 26 cm.
55 percent of 120 is 66.
120 - 54 = 66.
66 Books are fictional
So that being said, the other part of your remaining total is 54. 54 books are non-fictional. (The above where I said 120-54). Since 120 - 66 = 54.
We have to evaluate cos(2θ), knowing that θ is in the first quadrant and in standard position P(u,v) = (3,4).
We can picture this as:
We can write the relation:
We now look at the identities to find cos(2θ):
There are many identities for cos(2θ), but this is expressed in the information we already know, so we can solve as:
Answer: cos(2θ) = -7/25
