Answer:
The ball is 3.86 meters from the wall when it stops rolling.
Step-by-step explanation:
Representation of the situation:
This situation can be represented by a right triangle:
The hypotenuse is the distance the ball traveled, of 6 meters.
The distance from the wall is the side opposite to the angle of 40º.
We have that:
Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.
Sine of 40 degrees = Distance from the wall/6
Sine of 40 degrees is of 0.64278760968.
Distance = 6*0.64278760968 = 3.86.
The ball is 3.86 meters from the wall when it stops rolling.
Don't know if this is what you're looking for but here. Hope it helps.
Sara woke up at 9:00. She has dance practice at noon(12:00) it ends at 2:15. She has to meet her friend Jerry for pizza at 5:30. How much time does she have before dance, at dance, and from dance to dinner?
Kind of hard to follow but first take 9:00 to 12:00. 12-9=3 so 3 hours before dance. Next how long dance is. To get from 12:00 to 2:00 you need 2 hours. to get from 2:00 to 2:15 is 15 minutes. So dance is 2 hours and 15 minutes. After dance until dinner is going to be 2:15 to 5:30. To get to 2:00 to 5:00 is three hours. You need 15 minutes from 15 to 30. So She has 3 hours and 15 minutes from dance to dinner.
Answer:
y = (3/2)x + 11/2
Step-by-step explanation:
As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4. Thus, the slope is
m = rise / run = 6/4 = 3/2.
Subbing the knowns into the general point-slope form of the equation of a straight line, we get
y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).
This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.
Answer:
the first part of the book has 659 pages and the second part has 723 pages
Step-by-step explanation:
First we have to raise 2 equations, one that shows us the relationship between one part of the book and the other, and another equation that shows us that together they give us the total of pages
x = second part
y = first part
x = y + 64
x + y = 1382
As the first equation tells us that x = y + 64 we will replace x in the second equation with (y + 64)
x + y = 1382
(y + 64) + y = 1382
y + y = 1382 - 64
2y = 1318
y = 1318/2
y = 659
now we replace in the first equation to y by its value
x = y + 64
x = 659 + 64
x = 723
so the first part of the book has 659 pages and the second part has 723