Answer:
The cosine of 86º is approximately 0.06976.
Step-by-step explanation:
The third degree Taylor polynomial for the cosine function centered at
is:

The value of 86º in radians is:


Then, the cosine of 86º is:


The cosine of 86º is approximately 0.06976.
Answer:

Step-by-step explanation:
step 1
Find the value of x
we know that
r is the midpoint of qs
so
QR=RS
QS=QR+RS------> QS=2RS -----> equation A
RT=RS+ST ----> equation B
see the attached figure to better understand the problem
Substitute the given values in the equation B and solve for x





step 2
Find the value of RS

substitute the value of x


step 3
Find the value of QS
Remember equation A
QS=2RS
so

Answer: First option.
Step-by-step explanation:
<h3>
The missing picture is attached.</h3><h3>
</h3>
You can use these methods to solve a System of Equations and find the value of the variables:
A. Substitution method.
B. Elimination method.
In this case, given the following System of equations:

The most efficient method to solve it is the Substitution Method. The procedure is:
Step 1: Solve for one of the variables from the most convenient equation.
Step 2: Make the substitution into the other equation and solve for the other variable in order to find its value.
Step 3: Substitute the value obtained into the equation from Step 1 and evaluate, in order to find the value of the other variable.
Based on this, you can identify that first step to solve the given System of equations, is solving for "x" from the second equation:

Answer:
The approximate loudness of a rock concert with a sound intensity of
is 110 Db.
Step-by-step explanation:
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is :

We are supposed to find What is the approximate loudness of a rock concert with a sound intensity of 
So, 
Substitute the values in the formula :


L=110 Db
So, the approximate loudness of a rock concert with a sound intensity of
is 110 Db.