In ΔLMN, the measure of ∠N=90°, NM = 5, ML = 13, and LN = 12. What ratio represents the cosine of ∠L?

12/13

Step-by-step explanation:

Question: In ∆LMN, the measure of <N=90°, NM = 5, ML = 13, and LN = 12. What ratio represents the cosine of <L?

Solution

The diagram of the triangle has been attached to the solution.

LN = 12

ML = 13

NM = 5

Angle N = 90°

Trigonometry: SohCahToa

Soh : sinx =Opposite/hypotenuse

Cah : cosine x =adjacent/hypotenuse

Toa: Tan x = opposite/adjacent

Redrawing or turning the initial diagram by 90° anticlockwise:

Let theta in the diagram represent angle L

Cosine theta = adjacent/ hypotenuse

Cosine of angle L = 12/13

Cosine of <L = 12/13

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The total nom of  code that can be used is equal to 5+3 = 8

The solution is in the following image

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.