So we have a rectangle, whose area is A=bh. We don't know any of those, so we've got a bit of thinking to do. (Wish I could draw a picture....) First of all, we only need to consider half the rectangle. Since it is bounded by a parabola that is symmetric over the y-axis (ie not moved left or right), the rectangle has the same area on the right and left. So let's just consider the first quadrant. Note that if we maximize this area, we maximize the entire rectangle's area. The width of this half rectangle is x (it's the x coordinate). The height of this rectangle is whatever the y coordinate of the corner is. That corner is directly above the x coordinate, and is on the rectangle. So the upper corner must have coordinates of (x, y), or (x, 8-x2). Those will serve as our base and height. A = x (8 - x2)A = 8x - x3 Maximize implies derivative = 0, so... dA = 8 - 3x20 = 8 - 3x23x2 = 8x2 = 8/3x = ±1.633 Notice that this is giving us two answers -- one of them is on the left (second quadrant), while the other is on the right. The y coordinates will be the same for both, due to the nature of this parabola. y = 8 - (1.633)2y = 8 - (8/3)y = 5.333 Our upper corners are (±1.633, 5.333). The dimensions are: Height: 5.333Width = (2 · 1.633) = 3.266 :)
First, do the minimum: multiply both sides by 9/5, so the left side is -54 and the right side is f-32. Now add 32 to both, and you get the minimum of -22 degrees F.
Then, do the same for maximum, by plugging in 130 as c, multiply 9/5 to get 234, then add 32 to get 266 degrees.
The answer is -22 and 266.
So in comments section, the legnth is 6 feet width is 5 feet height is 3.5 feet and pool is rectangular prism
volume=legnth times width times height
volume=45
legnth=6
width=5
find height
subsitute
45=6 times 5 height
45=30 time height
divide both sides by 30
1.5=height
answe ris pool is 1.5 feet tall
Answer:
isosceles triangle
Step-by-step explanation:
An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.
4) split this into two shapes, a rectangle and a triangle...
Rectangle: base(height)
14(7)=98
Triangle: 1/2base(height)
Find the height: 14-7=7
1/2(14)(7)=49
Add them together: 98+49=147
147in^2
5) split this into two shapes, a square and a triangle...
Square: base(height)
20(20)=400
Triangle: 1/2base(height)
1/2(20)(10)=100
Add them together: 400+100=500
500m^2
6) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
6(5)=30
Triangle: 1/2base(height)
1/2(6)(3)=9
Add them together: 30+9=39
39yd^2
7) I can't see the number behind the m. Please tell me what it is and then I'll help you!
8) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
5(2)=10
Triangle: 1/2base(height)
1/2(5)(3)=7.5
Add them together: 10+7.5=17.5
17.5ft^2
9) split this into 2 shapes, a rectangle and a triangle...
Rectangle: base(height)
13.5(18)=243
Triangle: 1/2base(height)
1/2(13.5)(9)=60.75
Add them together: 243+60.75=303.75
303.75cm^2
I hope this helps:)
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