Find the tangent ratio of angle O. Clue: Use the slash symbol (/ ) to represent the fraction bar, and enter the fraction with no spaces.

4/3

step-by-step explanation:

soh cah toa is an acronym for remembering the right-triangle-trigonometric definitions of sine, cosine, and tangent.

sine is opposite over hypotenuse.

cosine is adjacent over hypotenuse.

tangent is opposite over adjacent.

[tex]\tan(\theta)=\frac{\text{ opposite side to }\theta}{\text{ adjacent side to}\theta}[/tex].

the side that is opposite to [tex]\theta[/tex] is the side not touching it at all. that has side has measurement 4 units.

the side that adjacent to [tex]\theta[/tex] is the side that is touching the angle that isn't the hypotenuse. that measurement is 3.

[tex]\tan(\theta)=\frac{\text{ opposite side to }\theta}{\text{ adjacent side to}\theta}=\frac{4}{3}[/tex].

[tex]tan(\theta)=\frac{4}{3}[/tex]

step-by-step explanation:

we know that

in the right triangle abc

the tangent of angle theta is equal to the ratio of the opposite side to angle theta divided by the adjacent side to angle theta

so

[tex]tan(\theta)=\frac{ab}{ac}[/tex]

substitute the given values

[tex]tan(\theta)=\frac{4}{3}[/tex]

4/3

step-by-step explanation:

soh cah toa is an acronym for remembering the right-triangle-trigonometric definitions of sine, cosine, and tangent.

sine is opposite over hypotenuse.

cosine is adjacent over hypotenuse.

tangent is opposite over adjacent.

[tex]\tan(\theta)=\frac{\text{ opposite side to }\theta}{\text{ adjacent side to}\theta}[/tex].

the side that is opposite to [tex]\theta[/tex] is the side not touching it at all. that has side has measurement 4 units.

the side that adjacent to [tex]\theta[/tex] is the side that is touching the angle that isn't the hypotenuse. that measurement is 3.

[tex]\tan(\theta)=\frac{\text{ opposite side to }\theta}{\text{ adjacent side to}\theta}=\frac{4}{3}[/tex].

[tex]tan(\theta)=\frac{4}{3}[/tex]

step-by-step explanation:

we know that

in the right triangle abc

the tangent of angle theta is equal to the ratio of the opposite side to angle theta divided by the adjacent side to angle theta

so

[tex]tan(\theta)=\frac{ab}{ac}[/tex]

substitute the given values

[tex]tan(\theta)=\frac{4}{3}[/tex]

The answer is in the image 

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

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the 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