Answer:
4.0
Step-by-step explanation:
Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)
To save time, tan 30 = sqrt(3)/3,
sqrt(3)/3 = x/7
x = 7*sqrt(3)/3 ~ 4.041
Answer:
tex]a^2 - 4b \neq 2[/tex]
Step-by-step explanation:
We are given that a and b are integers, then we need to show that 
Let 
If a is an even integer, then it can be written as
, then,

RHS is a fraction but LHS can never be a fraction, thus it is impossible.
If a is an odd integer, then it can be written as
, then,

RHS is a fraction but LHS can never be a fraction, thus it is impossible.
Thus, our assumption was wrong and
.
In fraction, it would be:
-107474/10000
angles formed by these tosses are
and
degrees to the nearest hundredth.
<u>Step-by-step explanation:</u>
Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.
The Law of Cosines (also called the Cosine Rule) says:

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
The Law of Sines (or Sine Rule) is very useful for solving triangles:

We can now find another angle using the sine rule:
⇒
⇒
⇒
So, the third angle =
Therefore, angles formed by these tosses are
and
degrees to the nearest hundredth.