If 50% of an item is $34.00, what is the original price? ​

Answer:

A= 57° , a= 7.79  and c = 14.30

Step-by-step explanation:

In a given right triangle,

We have, b =12 ,B =33° and C =90°

We can find Angle A.

Angle sum property of triangle:

i.e A + B + C = 180°

A + 33° + 90° = 180°

A = 57°

Next, by using trigonometry

tanB = Perpendicular /Base  = a /b

Here B =33° , a = ? , b = 12

So, tan 33° = a/12

0.6494 = a/12

a = 7.79

So we got a and b. By using Pythagoras theorem we determine c.

c^2 = a^2 + b^2

c^2 = 7.79^2 + 12^2

c = √(2046841) = 14.30

Method 1

We can find the number of Devon's movie collection by multiplying its percentage by the number of Action movies. That is;

Number of Devon's movie collection

Method 2

We can also use ratio and proportion. According to the question, out of every 100 Action movies 85 are Devon's Movie collection. This means,

Action movies                                        Devon's collection                  

100                                                                         85

20                                                                            

If 100 corresponds to 85, then 20 will correspond to a less value than 85. If less more divides,Hence,

.

Therefore he has 17 movies that are in Devon's collection.