Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Answer:
Step-by-step explanation:
<u>Direct relationship formula:</u>
<u>Finding the coefficient k based on given:</u>
<u>For x = 5 we get the value of y:</u>
Answer is 20 books over 5 months
Hypotenuse squared is side square plus side squared. 10 squared is 2 x X squared. X is 5 root 2
First, you would turn 2 1/9 into an improper fraction. 2 1/9 is now turned into 19/9. Now, you need to find a common denominator between 19/9 and 5/6. The least common denominator, which is the smallest number that both denominators can multiply to, is 18. 19/9 is turned into 38/18 (which is still 19/9 when simplified). 5/6 is turned into 15/18. Now, since both 38/18 and 15/18 have a common denominator, we can write the fraction like (38-15)/18. 38-15 is 23, so your answer is 23/18. When simplified, 23/18 becomes 1 5/18.