area = length times width
area = 2 meters * 3 meters
area = 6 m^2
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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Answer:
Factors (2 x 2 x 3 x 3 x 5 x 5 = 900). It can also be written in exponential form as 22 x 32 x 52.
Step-by-step explanation:
Answer:
h is the horizontal shift
Step-by-step explanation:
y = a(x – h)^2 + k
This is the equation for a parabola in vertex form
The vertex is ( h,k) and it is shifted from (0,0)
h is the horizontal shift and k is the vertical shift
Answer:
<h2>
64 cm²</h2>
Step-by-step explanation:
given:
the scale from a square park to a drawing of the park is 5 m to 1 cm
the actual park has an area of 1,600 m²
find:
what is the area of the drawing of the park
solution:
drawing scale is 5m : 1cm
<u>1,600 m² </u> = <u> 5² m² </u>
x 1² cm²
cross multiply:
5² m² x = 1600 m² (1 cm²)
x =<u> 1600 m² </u>
5² m²
x = 64 cm²
therefore, the area of a square park in the drawing is 64 cm²