Well lets have x be the side perpendicular to the barn. You will have two sides of length "x". Which means the side parallel to the barn has the length of (200 -2x)
So we know the area of the pasture is length * width or x * (200 - 2x)
This means we are seeking to maximize x * (200 - 2x).
This is actually a parabola with zeroes that are at x = 0 and x = 100 which means the vertex is at x = 50.
So when x = 50 > (200 - 2x) = 100
So that means the maximum area of the pasture is 50 * 100 = 5000 square feet.
Answer:
1730 in³
Step-by-step explanation:
The figure can be considered to be composed of two rectangular prisms. Since they both have the same depth (front-back dimension of 10 in), we can find the volume by multiplying that value by the area of the front face.
The front face can be divided by its horizontal line into two rectangles. The top one is shown as 5 in high. Its width is 18 -5 = 13 in, so its area is ...
A = HW = (5 in)(13 in) = 65 in²
The bottom rectangle of the front face is shown as 6 in high and 18 in wide, so its area is ...
A = HW = (6 in)(18 in) = 108 in²
Then the total front-face area is (65 +108) = 173 in², and the volume is ...
V = Bh = (173 in²)(10 in) = 1730 in³ . . . . volume of the aquarium
Answer:
#14:He has enough gas because he has 3/4 and it is equivalent to 0.75 and 1/4 is equivalent to 0.25 if you add 0.25 twice you get 0.50 therefore you have 0.25 of gas left over
i hope this helps
Answer:
x = 3
4^2 + x^2 = 5^2
solve for x
16 + x^2 = 25
x^2 = 25-16
x^2 = 9
sqrt of x^2 = 3
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Hope this helps! If so, please mark my answer as brainliest!
Answer:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
