Answer:
If A and B are two rational numbers such that A<B
Then X = A + (B-A)/π would be an example of an irrational number
such that A < X < B
Hope this helps
Please give me brainliest
Answer:
4
Step-by-step explanation:
There is a rule for logarithms that says:
.
This is actually called quotient rule and it's name is based off the right hand side of the equation there.
So you have that you can write your right hand side as:
.
So your equation is:

Now let's write this in the equivalent exponential notation:

So the value of the given fraction is
.
Note! In general, the equivalent exponential form of
is
.
Answer:
Step-by-step explanation:
For 5 we need to use sine law.
The thing about sine law is that we need to look at the triangle sides that are in front of the angles.
In this case: <B = 30°
the triangle side that is in front of this angle is AC which is 4 cm.
Then we got <C = 61°, and the triangle side in front of it is AB, which is what we need to find.
According to sine law:

Notice that you need to be consistent. If you start writing that the angle is in the numerator, it needs to be in the numerator on the other side of the equation.
Solving it would give us:
(AB )(sin 30) = (sin 61)(4)
AB = 6.9969 cm
to the nearest tenth it's 7.0 cm
Question 6:
Wow it's pretty crowded, but they probably want us to use sine law as well. Let's write what we know:
<C = 12°
<B = 107°
AB = 21 yd
AC = ?
Apply it to the formula: sin(angle) / the triangle side in front of it.

(sin 107)(21) = (sin 12)(AC)
AC = 96.59
to the nearest tenth AC = 96.6 yd
90 x 10 = 900 is the correct answer
Answer:
The formula for distance problems is: distance = rate × time or
d = r × t
Step-by-step explanation: