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choli [55]
3 years ago
9

Find the volume of the cone. Round your answer to the nearest tenth.

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Answer:

The volume of the cone is 16.8 in cubed.

Step-by-step explanation:

The formula for a cone is πr^2 multiplied by h/3. The r is radius and h is height. So throwing in the values for the variables we get 16.8 in cubed.  

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Solve for x in the equation 2 x squared + 3 x minus 7 = x squared + 5 x + 39.
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Answer:

\implies x=1\pm \sqrt{47}

Step-by-step explanation:

We want to solve for x in 2x^2+3x-7=x^2+5x+39

You need to group and combine like terms and write in standard form:

2x^2-x^2+3x-5x-7-39=0

\imples x^2-2x-46=0

By comparing to ax^2+bx+c=0, we a=1,b=-2 and c=-46

The solution can be obtained using the quadratic formula.

x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute the coefficients to get:

x=\frac{--2\pm \sqrt{(-2)^2-4*1*-46} }{2*1}

x=\frac{2\pm \sqrt{4+4*46} }{2}

x=\frac{2\pm \sqrt{4*47} }{2}

x=\frac{2\pm2\sqrt{47} }{2}

\implies x=1\pm \sqrt{47}

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