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Mars2501 [29]
3 years ago
14

1. Make sure to respond with complete sentences! Show all work please:)

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Explanation:

The numerator of the rational exponent will be the product of the exponents inside and outside the radical: 5·7=35. The denominator of the rational exponent will be the index of the radical: 6. Then the equivalent expression is x^(35/6)

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A company makes paper labels for paint cans. As shown below, cach can is in the shape of a cylinder with a height of 9 cm and a
IgorC [24]

Given:

Height of cylinder, h = 9 cm

Radius, r = 3 cm

Total amount of paper the company has = 8138.88 cm²

Let's find the number of labels that can be made given that the label covers only the side.

Here, we are to apply the formula for the surface area of a cylinder.

We have:

SA=2\pi rh+2\pi r^2

The 2πr² represents the area of the top and bottom circle of the cylinder.

Since the label covers only the side, we are to exclude the 2πr².

Hence. we have:

SA_{label}=2\pi rh

WHere:

r = 3 cm

h = 9 cm

Thus, we have:

\begin{gathered} SA_{label}=2*3.14*3*9 \\  \\ SA_{label}=169.56\text{ cm}^2 \end{gathered}

Now, the number of labels they can make is:

\begin{gathered} \text{ number of labels = }\frac{8138.88\text{ cm}^2}{169.56\text{ cm}^2} \\  \\ \text{ number of labels = 48} \end{gathered}

Therefore, the company can make 48 labels.

ANSWER:

48 Labels

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