Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.
For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.
Answer:
the area of the garden is 9 square kilometers
Step-by-step explanation:
4s=12
s=3
A= 3*3 = 9
You have to answer all of the equations first
-4.8 • 3.2 = -15.36 (negative times a positive is negative)
2 1/4 + (-1 2/5) first find a common denominator, which would be 20
9/4= 45/20
-7/5 = -28/20
since adding a negative is the same as subtracting a positive, you would subtract 45 and 28 which is 17.
17/20 = 1 3/20 (the answer)
turn the fraction into a decimal by dividing the top number by the bottom number, so 17/20 = 0.85
4.92 divided by -3 equals -1.64 (the answer)
-2 3/5 - (-1 2/5)
make them into improper fractions which is -13/5 and -7/5
it stays negative, so the answer is -6/5 or -1.2
so the answer is
-4.8 • 3.2 < 4.2 divided by -3 < -2 3/5 - (-1 2/5) < 2 1/4 + (-1 2/5)
Answer:
106.1 ft/s
Step-by-step explanation:
You know the diagonal of a square is √2 times the length of one side, so the distance from 3rd to 1st is 90√2 feet ≈ 127.2792 ft.
The speed is the ratio of distance to time:
speed = distance/time = 127.2972 ft/(1.2 s) ≈ 106.1 ft/s.
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In case you have never figured or seen the computation of the diagonal of a square (the hypotenuse of an isosceles right triangle), consider the square with side lengths 1. The diagonal will cut the square into halves that are isosceles right triangles with leg lengths 1. Then the Pythagorean theorem can be used to find the diagonal length d:
d² = 1² + 1²
d² = 2
d = √2
Since this is the diagonal for a side length of 1, any other side length will serve as a scale factor for this value. A square with a side length of 90 ft will have a diagonal measuring 90√2 ft.
