Answer:
See below
Step-by-step explanation:
We shall prove that for all
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let
, then we have
, and evidently,
.
Assume that
is divisible by
for
. Then, by this assumption,
.
Now, let
. Then:

Since
, we may conclude, by the axiom of induction, that the property holds for all
.
<h3>
Answer: 30.78181 meters</h3>
The value is approximate. Round that however you need to.
========================================================
Explanation:
- lowercase a = side opposite angle uppercase A
- lowercase b = side opposite angle uppercase B
- b = AC
Using the law of sines, we can say:
a/sin(A) = b/sin(B)
45/sin(30) = b/sin(20)
b/sin(20) = 45/sin(30)
b = sin(20)*45/sin(30)
b = 30.78181 approximately
You'll need to make sure your calculator is in degree mode.
Answer:
d=4/5
Step-by-step explanation:
2(5+d)=14
10+5d=14
5d=4
d=4/5
that shape/figure is a square.