Step-by-step explanation:
tan150°
= -tan30°
= -√3/3.
Answer:
√(137)
Step-by-step explanation:
First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:
L x W = 44
4 x W = 44
W =11
Now the Pythag, Theorem:
diagonal^2 = 4^2 + 11^2
d^2 = 16+121
d^2 = 137
d = √(137)
Answer:
a(n) = 

Step-by-step explanation:
The given expression is in the form of the explicit formula of a geometric sequence.
f(n) = 
Where 'a' = First term of the sequence
r = common ratio
Recursive formula of a geometric sequence is,
a(n) = 
a(n) = 
Where, 
So the recursive formula will be a(n) = 
Answer:log₂(

)
Explanation:Before we begin, remember the following:logₐ(x) - logₐ(y) = logₐ(

)
alog(x) = log(xᵃ)
Now, for the given we have:3 log₂(x) - (log₂3 - log₂(x+4))
log₂(x²) - log₂(

)
log₂(

) = log₂(

)
Hope this helps :)
Triangle Area = .5 * (base * height)
36 = (base * height) / 2
So let's say base = 9 height 8
If base and height are scaled by a factor if 5 than
base = 45 height 40 and
area = .5 * (45 * 40)
area = 900
Basically, the area increases by a factor of 25.
The base increases by 5 and the height increases by 5 so the area increases by 5*5 = 25