Answer:
Step-by-step explanation:
Given:
Required:
LCM of the polynomials
SOLUTION:
Step 1: Factorise each polynomial
Step 2: find the product of each factor that is common in both polynomials.
We have the following,
The common factors would be: =>
(this is common in both polynomials, so we would take just one of them as a factor.
and,
Their product = 
First, you do the distributive property on:
4(2n+3)
You would get
8n+12
Then add the original part of the equation in (4n)
4n+8n+12
Combine like terms
12n+12 is the answer
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
4 more than 4 times x is 45 the answer will be x=41/4
Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
