Answer:
Step-by-step explanation:
There was no figure but the question is clear
Volume of a cylinder is given by the formula 
where r is radius of base of cylinder, h is the height
Volume of a cone is given by 
where r is the radius of base of cone, h is the height
The radius of the cylinder = 
(diameter) = (12) = 6cm
Height of cylinder = 15cm
Volume of cylinder 
Radius of cone = (radius of cylinder) = (6) = 3 cm
Height of cone same as height of cylinder = 15cm
Volume of cone, 
Difference is the volume of the remaining solid
Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
