Volume of a cone = (1/3) pi x r^2 x h
Volume of a cylinder = pi x r^2 x h
Volume of the cylinder = pi x 2^2 x 3 = 37.68 cubic inches
Now set the volume for the cone to the volume of the cylinder and solve for the height.
37.68 = (1/3) x pi x r^2 x h
37.68 = (1/3) x pi x 3^2 x h
37.68 = (1/3) x pi x 9 x h
37.68 = 9.42 x h
h = 37.68 / 9.42
h = 4
The height of the cone is 4 cm.
Answer: The first answer in the screenshot is correct. Sides 5, 10 and 5√3
Step-by-step explanation: In a 30°60°-90° triangle, the side opposite the 30° angle (shortest side) is half the length of the hypotenuse. So you have to choose one with 5 & 10. Use the Pythagorean theorem to calculate the remaining side a² + b² = c²
5² + b² = 10², so b² = 100-25 √b²=√75 so √(25)(3)
b= 5√3
The product of the polynomials (3x 2) and (-x3 – 3) is -3x^5-9x²
proof
(3x 2) (-x3 – 3) = -3x^5-9x²
the main rules are as follows:
if we have ax^p multiplying by bx^q, so we can do the calculus as
(ax^p)( bx^q)=(ab)x^p+q
Answer:
y=7 x=17
Step-by-step explanation:
2y+3=y+10
x=7+10