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Mkey [24]
3 years ago
7

Altogether Central High School's bands have 40 trumpets and 35 tubas. Carlee says the ratio of trumpets to tubas is 40:35. Danny

disagrees and says the ratio is 8:7.
Actually, they are both correct. Explain why these are equivalent ratios.
Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

because if in 40:35 you divide 40 and 35 by 5 it is equal to 8:7

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A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la
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Answer:

8\pi\text{ square cm}

Step-by-step explanation:

Since, we know that,

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S=2\pi rh

Where,

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16 - 4r^2 = h^2

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Thus, the surface area of the cylinder,

S=2\pi r(\sqrt{16-4r^2})

Differentiating with respect to r,

\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})

=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})

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Again differentiating with respect to r,

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For maximum or minimum,

\frac{dS}{dt}=0

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8r^2 = 16

r^2 = 2

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Since, for r = √2,

\frac{d^2S}{dt^2}=negative

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

S = 2\pi (\sqrt{2})(\sqrt{16-8})

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