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zaharov [31]
3 years ago
11

A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the

formula S = 4pir2 for the surface area of a sphere.
Mathematics
1 answer:
vampirchik [111]3 years ago
7 0
Answer:
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Explanation:
We are given that:
area of sphere = 4 * pi * r²
radius = 4x + 1

Substitute with the radius in the given formula to get the area as follows:
area = 4 * pi * (4x+1)²
area = 4 * pi * (16x² + 8x + 1)
area = pi * (64x² + 32x + 4)

Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56

Hope this helps :)

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The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch
lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is \frac{4}{5} inch = 16 miles. A square park is represented on the map by a square with side length \frac{5}{8} inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is \frac{4}{5} inch = 16 miles.

Let the side length of \frac{5}{8} inch = x miles.

So, \dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}

\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}

\dfrac{32}{25}=\dfrac{16}{x}

x=\dfrac{16\times 25}{35}

x=11.428

The side length of a square is 11.428 miles.

The area of the square is A=s^2.

A=(11.42)^2

A=130.599\ miles^2

To nearest hundredth,

The area of this park is 130.60 square miles.

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