Answer:
$8.65
Step-by-step explanation:
1.25+4.75+2.50=8.5
8.5+0.056(5.6%)=8.65
You replace the p in the given expression by -2 and the m by 3 and simplify
So its (-2)^ / 4 - 3
= 4/4 - 3
= 1 - 3 (note the division 4/4 is done first according to the order of operations rule)
= -2 answer
Answer:
17148.59 in^3
Step-by-step explanation:
This volume is calculated as follows: V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
Answer:
or 
.
Step-by-step explanation:
How are tangents and secants related to sines and cosines?
.
.
Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, 
. Therefore, for the square of tangents,
.
This equation will thus become:
.
To simplify the calculations, replace all 
with another variable. For example, let 
. Keep in mind that 
.
.
.
Solve this equation for 
:
.
.
.
Given that 
, 
is the only possible solution.
,
, where 
(i.e., 
is an integer.)
Given that 
,
.
or 
. Accordingly,
or .
