The cosine and cotangent values of angle Ф are
and -1. When the terminal side of an angle intersects the unit circle at point (x, y), then: The x-coordinate corresponds to the cosine of the angle formed with the positive x-axis and the terminal side, while the y-coordinate corresponds to the sine of that angle. Depending on the signs of x and y coordinates, we can determine the quadrant in which the angle resides.
Answer:
Let the train's speed be denoted as x km/h.
Scenario 1:
Distance = 288 km
Speed = x km/h
Time = Distance divided by Speed
= 288/x hours
Scenario 2:
Distance = 288 km
Speed = (x + 4) km/h
Time = 288/(x + 4) hours
As 288/x is greater than 288/(x + 4)
288/x - 288/(x + 4) = 1
288[1/x - 1/(x + 4)] = 1
[x + 4 - x] / [x(x + 4)] = 1/288
[4 / (x^2 + 4x)] = 1/288
x² + 4x = 1152
x² + 4x - 1152 = 0
x² + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0, x - 32 = 0
x = -36, x = 32
x = -36 is not valid as speed cannot be negative.
Conclusively, the train's speed = 32 km/h
Answer:
15.6
Step-by-step explanation:
- Insert 39/4: 39/4 ÷ 5/8
- 39/4 ÷ 5/8 = 39/4 × 8/5
- 39/4 × 8/5 = 312/20
I hope this information is helpful!
Response:
When combining two fractions that each exceeds 1/2, their sum will invariably exceed 1.
Detailed breakdown: 1/2 + 1/2 = 1
Since both fractions exceed this amount, it is evident that the sum must as well.
Examples: 2/3+3/4= 1 5/12 4/6+6/9= 1 1/3
Hope this adds clarity
