Answer:
Yes, the answer is -972786042517719014174576083150881262357
Step-by-step explanation:
Answer:
362880 ways
Step-by-step explanation:
The word dragonfly has 9 different letters.
So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:
First letter has 9 possibilities
Second letter has 8 possibilities (one used)
Third letter has 7 possibilities (two used), and so on.
So the number of ways is:
9*8*7*6*5*4*3*2*1 = 362880 ways
Answer:
x ≈ 56°
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Here b = 8 and A = 48, thus
× 8 × h = 48, that is
4h = 48 ( divide both sides by 4 )
h = 12
Using the tangent ratio in the right triangle
tan x =
=
, thus
x =
(
) ≈ 56° ( to the nearest degree )
Answer:
**
**The picture is not accurate for this problem.
Step-by-step explanation:
I would use Pythagorean Theorem to setup two equations since there are two triangles with no angle information.
Let
where
is equal to the first partition of
(reading from left to right) and
is equal to the second partition of
(reading from left to right).
We have the following system to solve:


I will use elimination to first solve for
.
Subtract the equations:

Factor both sides using
:

Simplify inside the
.

Divide both sides by 9:

Divide both sides by 11:

Simplify both sides:

Add 99 on both sides:

Divide both sides by 2:

Now go to either equation we had in the beginning to find
.
with 

