The equation for the volume of a cone is:
where V = volume of the cone, r = radius of the circular base, and h = height of the cone.
You are told that the height, h = 25.5 cm. You are also told that the diameter is <span>12 centimeters. Remember that the diameter of a circle is just twice the radius. Divide 12 by 2 to get the radius: r =12/2 = 6 cm.
Since you know </span>h = 25.5 cm and r = 6 cm, plug these values into your equation for volume of a cone and solve for V, volume:
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Answer: B) <span>
961.33 cm³ </span>
The correct option is (A) x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9
Explanation:
The product of two polynomials:
(x^3 + x^2 -3)(x^3 - 2x + 3)
Row1: x^6 x^5 -3x^3
Row2: -2x^4 -2x^3 6x
Row3: 3x^3 3x^2 -9
Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9
x^6 + x^5 - 2x^4 - 2x^3 + 3x^2 + 6x - 9 (Option A)
Answer:
a) $3480
b) $4036.8
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Suppose that $3000 is placed in an account that pays 16% interest compounded each year.
This means, respectively, that
So
(a) Find the amount in the account at the end of 1 year.
This is A(1).
(b) Find the amount in the account at the end of 2 years.
This is A(2).
Formula for midpoint between two points is M(x,y)
x=(x1+x2)/2 and y=(y1+y2)/2
In our case (x1,y1)=(m,b) and (x2,y2)=(0,0)
x=(m+0)/2=m/2 and y=(b+0)/2=b/2 M(m/2,b/2)
Good luck!!!
The sum of the 2 angles will add up to 180°