Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A = 
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹ ( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹ ( x² + x⁴ - 2x³ ) dx
= 
+ 
- 
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
= [ 
+ 
- 
]
= [ 
]
V =
Therefore, the volume of the solid is
Hmm, I'd say it's the first option.
Answer:
12 ft²
Step-by-step explanation:
the rectangular hole area:
l • w = A
3 • 2 = 6 ft
the triangular hole area:
(b • h) / 2 = A
(4 • 3) / 2 = 6 ft
6 ft + 6 ft = 12 ft²
Answer:
For the given expression: 
Step-by-step explanation:
Here, the given expression in statement form is given as:
5 X minus Y equals 6 + negative 2 X plus Y = 8
Now, converting the given statement mathematically, we get:
5X - Y = 6 + (-2X) + Y = 8
Now, considering first and the last terms,we get:
5 X - Y = 8 .... (1)
and , considering second and the last terms,we get:
6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)
Adding (1) and (2) , we get:
5 X - Y - 2 X + Y = 8 + 2
or, 3 X = 10
or, X = 10/3 = 3.34
Now, 5X - Y = 8
or, 
Hence, for the given expression:
Answer:
22.5
Step-by-step explanation:
You time 75 by 60. Then, you divided it by 200. The answer is 22.5.
