Answer:
Step-by-step explanation:
The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be . The magnitude of will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is , we have:
(Recall that )
Now that we've found the vertical component of the velocity and launch, we can use kinematics equation to solve this problem, where is final and initial velocity, respectively, is acceleration, and is distance travelled. The only acceleration is acceleration due to gravity, which is approximately . However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.
What we know:
Solving for :
Part A
Represents 'Reflection'. This is so because the y-coordinates of P, Q and R remain the same in P' , Q' and R', and only the x-coordinate changes. Hence, it is reflection along the y-axis
Part B
Represents 'Rotation'. Here, the x-coordinates and y-coordinates of each of the points have changed, and the figure has been rotated clockwise around the point Q by 90°
Part C
Represents a combination of 'Translation' and 'Reflection'. Here either of the two has happened:
- First, all the points have been moved downwards by a fixed distance, thus changing the y-coordinate. Then, the resulting image has been reflected along the y-axis, thus changing the x-coordinate of all the points
- First, all the points have been moved to the right by a fixed distance, thus changing the x-coordinate. Then, the resulting image has been reflected along the x-axis, thus changing the y-coordinate of all the points
Part D
Represents 2 'Translations'. Here the image has been shifted by a fixed distance in both the downward direction and the right direction. Thus, it has resulted in change of both x and y coordinates.
Answer:
= (9 + h) /5
Step-by-step explanation:
One fifth means 1/5
Sum of 9 and h = (9 +h)
One fifth of sum of 9 and h = 1/5 x (9 + h)
= (9 + h) /5
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Answer:
She has 400 megabytes left
Step-by-step explanation:
Answer:
Mikhail is 42 years old
Step-by-step explanation: