3 years ago

What is the degree of the polynomial?

Mathematics

1 answer:

noname [10]3 years ago

8 0

2 because it's the highest exponent in the expression

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The function f(t)=t^2+12t-18 represents a parabola.

Lyrx [107]

$y= t^{2} +12t -18 \\ y+18=t^{2} +12t \\ y+18+36=t^{2} +12t+36 \\ y+54=(t+6)^{2} \\ y=(t+6)^{2} -54$
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2 years ago

What is the volume of a hemisphere with a radius of 26.7 m, rounded to the nearest tenth of a cubic meter?

attashe74 [19]

Answer:

$39,865.1m^3$

Step-by-step explanation:

a hemisphere is half a sphere.

And if the formula for the volume of a sphere is:

$V=\frac{4\pi r^3}{3}$

we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.

Since the radius is:

$r=26.7m$

substituting this into the formula for volume:

$V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3$

this is the volume of the total sphere, thus the volume of a hemisphere is:

$\frac{V}{2}=\frac{79,730.12m^3}{2}\\ =39,865.06m^3$

rounding to the nearest tenth:

$39,865.1m^3$

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1, ___, ____, _____, _____, _____, ____, 29

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