Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3
Answer:
<em> 200cm²</em>
Step-by-step explanation:
Total surface area of the prism = bh + L(s1+s2+s3)
b is the base of the triangle = 15cm
h is the height of the triangle = 8cm
Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15
Perimeter of the triangular base = 40cm
L is the lateral height = 2cm
Substitute the given values into the formula;
Total surface area of the prism = 15(8) + 2(40)
Total surface area of the prism = 120+80
Total surface area of the prism = 200cm²
<em>Hence the total surface area of the prism is 200cm²</em>
Answer:
(-2, 3)
Step-by-step explanation:
5/2(3/4x + 1/3y = -1/2)
1/2x - 5/6y = -7/2
15/8x + 5/6y = -5/4
19/8x = -19/4
x = -2
1/2(-2) - 5/6y = -7/2
-1 -5/6y = -7/2
-5/6y = -5/2
y = 3
Answer:
39 lang po
Step-by-step explanation:
samatolong sana lag Yan nyo po Ng brainlest
1 gallon is equal to 16 cups.
Since Chase made 2 gallons of soup, multiply 16 x 2.
Chase made 32 cups of soup.
If he served 15 cups of soup to his guests, he will have 17 cups of soup left over, because 32 - 15 = 17.
