We are given a watermelon dropped at free fall from a building 320 meters above the sidewalk. Superman is headed down at 30 meters per second. We are asked to determine how fast is the watermelon going when it passes Superman. To solve for the final velocity of the watermelon, we will use one of the kinematic equations (free fall):
vf = vi + a*t
where vf is the final velocity
vi is the initial velocity, zero
a is the acceleration, in this case, gravitational acceleration = 9.8m/s^2
t is time
we also need to set-up another equation using the distance:
d = vf + vi / 2 * t
(1) 320 m = vf * t /2
(2) vf = 9.8 m/s^2 * t
From here, we have two equations and two unknown, thus we can solve the problem by substitution.
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Step-by-step explanation:
<em>Prologarithmize both parts of the equation:</em>
<u><em> Divide both parts of the equation by 2:</em></u>
Answer:
The correct answer is first option. 270 m³
Step-by-step explanation:
Formula:
Volume of prism = Base area * Height
Area of triangle = bh/2 where b - base and h - height
From the figure we can see that height of prism = 36 m
Base is a right angled triangle with base 5 m and height = 3 m
<u>To find the Base area</u>
Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5
<u>To find the volume of prism</u>
Volume = Base area * height = 7.5 * 36 = 270 m³
Therefore the correct answer is first option . 270 m³
Answer:
2/5
Step-by-step explanation:
First by looking, you have a slope going upward to the right so it is a positive slope.
Two points on the line that seem to go directly through the grid at the intersection points are ( -60, -90) and ( 40, -50).
Slope is Rise (y axis) over the Run (x axis). The numbers above have x first and y second.
So the rise is the total distance between -90 and -50 which is 40.
The run is the total distance between 40 and -60 which is a total of 100.
It takes 40 units to get back to the 0 mark on the x axis and the another 60 units to get to the -60 point.
So you slop is 40/100. You can simplify this down to 4/10 or even further to give you 2/5.
Answer:
- It is a reduction with a scale factor between 0 and 1.
- It is an enlargement with a scale factor greater than 1.
Step-by-step explanation:
1. Dilation is defined as a transformation of an image in which the size on this image changes but its shape does not change.
2. In dilation, to obtain the new dimensions of the image you must multiply the dimensions of the original image by a number called "Scale factor".
3. When the scale factor is greater than 1 it is an enlargement and when this is between 0 and 1, it is a reduction.
tysm for the answer, i did the work-
