Answer:
71x+50y
Step-by-step explanation:
<u>Answer</u>
14 4/9
<u>Turn 9 2/3 into an Improper Fraction</u>
Multiply 9*3 and get 27. Now add 2 and get 29 (Denominator stays the same)
9 2/3 = 29/3
<u>Turn 4 7/9 into an Improper Fraction</u>
Multiply 4*9 and get 36. Now add 7 and get 43 (Denominator stays the same)
4 7/9 = 43/9
<u>Add</u>
29/3 + 43/9 = 130/9
<u>Turn 130/9 into a Mixed Number (Divide)</u>
130/9 = 14 4/9
Hope This Helps!
Answer: THE ANSWER IS 2 :)
Step-by-step explanation:
3(q+2) Do distributive property
3q=6 Divide 3q to both side
3q = 3q
q= 2 This is the answer
Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
= 180° - (45° + 120°)
= 180° - 165°
= 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.
![\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Cangle%20QPR%29%7D%7B%5Ctext%7BQR%7D%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%7D%28%5Cangle%20PQR%29%7D%7B%5Ctext%7BPR%7D%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%5Cangle%20PRQ%7D%7B%5Ctext%7BPQ%7D%7D)
![\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsin%7D%2845%29%7D%7B%5Ctext%7BQR%7D%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%7D%28120%29%7D%7B%5Ctext%7BPR%7D%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%2815%29%7D%7B%5Ctext%7B12%7D%7D)
![\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bsin%7D%28120%29%7D%7B%5Ctext%7BPR%7D%7D%3D%5Cfrac%7B%5Ctext%7Bsin%7D%2815%29%7D%7B%5Ctext%7B12%7D%7D)
PR = ![\frac{12\text{sin}(120)}{\text{sin}(15)}](https://tex.z-dn.net/?f=%5Cfrac%7B12%5Ctext%7Bsin%7D%28120%29%7D%7B%5Ctext%7Bsin%7D%2815%29%7D)
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.