The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches. By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Holly traveled 52 miles in 1 hour
Graph 1: y= -3/4, which means its (x,y) coordinate is (0, -3/4).
Graph 2: y= 3/4, which means its (x,y) coordinate is (0, 3/4).
Graph 1 would be the point -3/4 on the y-axis, while graph 2 would be the point 3/4 on the y-axis.
Therefore, graph 1 and graph 2 are symmetrical about the x-axis.
Hope this would help~
