Answer:
The first step is you have to eliminate all factors that are common of the numerator and the denominator.
Step-by-step explanation:
If you need more help ,here's a link https://www.mathplanet.com/education/algebra-1/rational-expressions/simplify-rational-expression
Answer:
9n + 15
Step-by-step explanation:5XN + 5X3 + 4N = 5n + 15 + 4n = 9n + 15
X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Tan0 = opposite/adjacent
To find the opposite side you need to use Pythagoras Theorem.
Where
a^2 + b^2 = c^2
Rearrange for b^2 term
c^2 - a^2 = b^2
c=8 a=7
64-49 = 15
B is equal to square root 15 which is equal to length of opposite side.
Since Tan0 = opposite/adjacent
= root 15/7 is the answer
