Sherry is the sole proprietor of a successful flower shop. In Sherry’s flower shop the ratio of roses to lilies is 4 to 3. The r
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Answer:
On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).
Step-by-step explanation:
<u>Larger quadrilateral</u>
Length of the top and bottom segments are 6 units.
Length of the left and right sides:
d = √[(-5 - (-2))² + (3 - 0)²] = √[3² + 3²] = √(2*3²) = 3√2 units
From point (-5, 3) to point (-2, 0) the slope is:
m = (3 - 0)/(-5 - (-2)) = -1
<u>Smaller quadrilateral</u>
Length of the top and bottom segments are 2 units.
Length of the left and right sides:
d = √[(-2 - (-1))² + (1 - 0)²] = √[1² + 1²] = √2 units
From point (-2, 1) to point (-1, 0) the slope is:
m = (1 - 0)/(-2 - (-1)) = -1
If you dilate the smaller quadrilateral by a factor of 3, you get the larger quadrilateral (they have the same slope, and 3 times length of the smaller quadrilateral is equal to the length of the larger quadrilateral).
Answer:
option (C) the same
Step-by-step explanation:
In the given question , it is mentioned that the ball of mass 0.2 kilograms is thrown with the velocity of 4 m/s in the horizontal direction
and, the 0.4 kilogram green ball is thrown in the horizontal direction with the velocity of 8 m/s
Here in both the cases no component of velocity in the vertical direction is provided.
Hence, it will be a case of free fall in the vertical direction.
Now,
from Newton's equation of motion, we have
here,
s is the distance
a is the acceleration
t is the time
in the above equation, mass has no role and the value of acceleration i.e acceleration due to gravity and distance of fall in the vertical direction is same.
Hence, the time taken for both the balls will be same.
Hence,
The correct answer is option (C) the same