Answer:
P.E = mgh = 120N
Step-by-step explanation:
v² = u² - 2as
At the top, the velocity is = 0
0² = 4² - 2 x 10 x s
4² = 20s
s = 16/20
s = 0.8metres.
It rose only 0.8metres.
Therefore P.E = 15 x 10 x 0.8
:. P.E = 15 * 8
:. P.E = 120N
Answer:
Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.
Step-by-step explanation:
A graph quickly shows the answer to this question.
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In vertex form, the equation for Rocket A is ...
y = -6(x² -16x +8²) +6(8²)
y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet
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The corresponding equation for Rocket B is ...
y = -4(x² -20x +10²) +4(10²)
y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet
Rocket B reaches a maximum height greater than that of Rocket A.
Answer: -11
Step-by-step explanation:
If an angle is 167 degrees, it is an obtuse angle because, it's greater than a 90 degree angle. (right angle) Let me give you some details on why 167 degrees is an obtuse angle. You probably don't remember from your math classes in the past but, when they give you an angle value and they want to know if it's either a right angle, an acute angle, or an obtuse angle, you figure it out by doing these steps:
1. You take a protractor (it's kinda like a ruler, but it measures angles) and measure the angle given to find out the size of it in degrees.
2. Once you have the measured the angle and found the angle's size in degrees, ask yourself whether it's greater than 90 or less than 90.
You want to ask yourself whether the angle measurement you found is greater than 90 or less than 90 because, if the size of the angle is exactly 90 degrees, than the angle you measured is a right angle.
Now if the angle is greater than 90 (91 and Higher), then you know the angle is an obtuse angle. Which means by process of emulation, that if the angle you found is less than 90 (1-89), than the angle is an acute angle.
And that's why a 167 degree angle is an obtuse angle
Did that help you with your question or do you need just a little bit more understanding?
Answer:
15
Step-by-step explanation:
The slope = 
This means that when the caterpiller moves 2 units to the right, it moves 3 units up. Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28). Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.
