A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P
1 answer:
Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
Divide both sides by 4.
So, the width of the rectangular yard is 19 feet.
Length =
Length =
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
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Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A = × πr² =
× π × 45 ≈ 35.3
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h
= 15.64 m/s
Initial kinetic energy of the car is given by,
= 183606.46 J
- Final velocity of car v2 = 70 miles/hour
= 31.29 m/s
So, final kinetic energy of car is given by
= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,
Hence, the kinetic energy will increase by 4 times.