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Leya [2.2K]
3 years ago
5

Ben made a circular cake with a radius of 6 ½ inches. He put the cake in the center of a circular plate. Around the cake, there

are exactly 5 inches of plate showing.
Ben wants to know the area of the circular plate that is showing so he can put real strawberries at the base of the cake.

What is the area of the circular plate that is showing?
Mathematics
2 answers:
Veronika [31]3 years ago
5 0
The answer would be 415.4756284 and I'll try to comment a further explanation
mezya [45]3 years ago
3 0
Maybe the two and add the round circular
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Chad and Victoria are playing a game with a quarter and a spinner divided into sixths numbered one through six each player spins
rodikova [14]
The simple way to do this is to multiply the number of outcomes of one object times the number of outcomes in the other object. In this case a quarter has 2 sides, heads and tails. Since the spinner has 6 sections, there are 6 outcomes.


With this we can do, 2x6=12.

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8 0
2 years ago
10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
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Step-by-step explanation:

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Step-by-step explanation:  and explain

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