Answer:
10
Step-by-step explanation:
Explain a bit more but this is the answer to what i think you mean:
500 divided by 10 would be 50
300 divided by 10 would be 30
so 10
H = V/B
The base of the prism is given by the expression 2X^2+8x-9
then c)5x+3
Answer:
multiple answers
Step-by-step explanation:
2 3/4 + 1 1/4
1 3/4 + 3 1/4
and so on
Answer:
<em>16ft by 16ft by 8ft.</em>
Step-by-step explanation:
Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;
L is the length of the box
W is the width of the box
H is the height of the box.
Since the box is openend at the top, S = lw + 2lh+ 2wh
If the base is a square base then, l = w
S = l(l) + 2wh+2wh
S = l²+4wh ............... 1
If volume = lwh
lwh = 2028 ft³
wh = 2048/l ................ 2
Substitute equation 2 into 1;
S = l²+4(2048/l)
S = l²+8192/l
dS/dl = 2l - 8192/l²
If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)
2l - 8192/l² = 0
2l = 8192/l²
2l³ = 8192
l³ = 8192/2
l³ = 4096
l =∛4096
l = 16 ft
Since the length is equal to the width, hence the width = 16ft (square based tank)
Given the volume V = lwh = 2048
lwh = 2048
16*16*h = 2048
256h = 2048
divide both sides by 256
256h/256 = 2048/256
h = 8ft
<em>Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.</em>
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
<h3>What is Area ?</h3>
Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
The area and the perimeter of the shape given = Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
To know more about Area
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