ANSWER
The length of the rectangular field is 99 yards
EXPLANATION
Given information
The perimeter of a rectangle field is 372 yards
The width of the field is 87 yards
To find the length of the rectangular field, follow the steps below
Step 1: Write the formula for finding the perimeter of a rectangular field
Step 2: Substitute the given data into the formula in step 1
Hence, the length of the rectangular field is 99 yards
Let's make W = width, and L = length.
What do we know? We know that P = 40 yards, and L = W + 1.5 .
The formulas for perimeter and area are:
P = 2W+2L
A = W*L
We can set P to 40, and since L = W+1.5, we can substitute that in for L.
40 = 2W + 2 (W+1.5)
40 = 2W + 2W + 3
37 = 4W
W = 37/4
We can plug that into L to find the length.
L = W + 1.5
L = 37/4 + 3/2
L = 43/4
Now, we plug into the area formula!
A = L*W
A = 43/4 * 37/4
A = 1591/16 or 99.43 yd^2
Its 6.174798604x10 to the 9th power
Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
and we can move that constant back over and set the quadratic back equal to y:
which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))
Answer:
Step-by-step explanation:
Do you have the answer choices?
