Answer:
It took 2 hours by plane
Step-by-step explanation:
let bus is represented by x and plane is represented by y
the total distance of bus and plane will be represented by equation:
40 x + 600 y = 1320 (1)
the total time taken by bus and plane will be represented by:
x + y = 5 (2)
solving equations (1) and (2) simultaneously:
Multiply by 40 on both sides in eq (2) and then subtract (1) and (2)
40 x + 600 y = 1320
40 x + 40 y = 200
_______________
560 y = 1120
y = 1120/ 56
y= 2
since plane is represented by y so, the time they spent travelling by plane is 2 hours.
Answer: 
<u>Step-by-step explanation:</u>
It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0). Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ 
It is given that sin θ = 
⇒ y = -7 & hyp = 25
Use Pythagorean Theorem to find "x":
x² + y² = hyp²
x² + (-7)² = 25²
x² + 49 = 625
x² = 576
x = 24
Use the "x" and "hyp" values to find cos θ:
Lastly, input cos θ into the half angle formula:
Reminder: We previously determined that the half-angle will be negative.
Answer:
3 necklaces and 12 bracelets
Step-by-step explanation:
Bracelets = x +4
amount of necklace gold = 20*x
amount of gold in bracelet = 7*(x+4)
added together = 109 gm
20x + 7(x+4) = 109
20x + 7x+28 = 109
27x+28=109
-28 -28
27x= 81
/27 /27
x=3 necklaces
then bracelets = 3+4=12
Answer:
x = 5
Step-by-step explanation:
3x - 2 = x + 8
Subtract x from each side
3x-x - 2 = x-x + 8
2x -2 = 8
Add 2 to each side
2x-2+2 = 8+2
2x = 10
Divide each side by 2
2x/2 =10/2
x = 5
Answer:
2/5
Step-by-step explanation:
2/5=4/10
