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3 years ago

8

Suppose that there are 630 seats in a row. If the person to be seated is needed to sit next to someone, then what is the fewest

number of seats that need to be occupied?

1 answer:

Colt1911 [192]3 years ago

6 0

Answer:

Its 210

Step-by-step explanation:

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A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10

boyakko [2]

Answer:

$960.42\text{ ft}^2$

Step-by-step explanation:

Please find the attachment.

We have been given that a community pool that is shaped like a regular pentagon needs a new cover for the winter months.

To find the area of community pool we will use area of pentagon formula.

$\text{Area of pentagon}=\frac{1}{2}a*p$ , where, a represents the apothem or perpendicular distance from the center of the pentagon and p represents perimeter of pentagon.

Let us find the perimeter of our given pentagon by multiplying each side length by 5.

$\text{Perimeter of community pool}=5\times 23.62$

$\text{Perimeter of community pool}=118.1$

Now let us find apothem of our pentagon by using Pythagoras theorem.

$a^2=20.10^2-11.81^2$

$a^2=404.01-139.4761$

$a^2=264.5339$

$a=\sqrt{264.5339}$

$a=16.2645$

Upon substituting our given values in above formula we will get,

$\text{Area of community pool}=\frac{1}{2}\times 16.2645\times 118.1$

$\text{Area of community pool}=8.13224907\times 118.1$

$\text{Area of community pool}=960.418615627971\approx 960.42$

Therefore, the area of the pool that needs to be covered is 960.42 square feet.

3 0

3 years ago

Read 2 more answers

Using arithmetic operations, rewrite this polynomial in standard, simplest form. (3x2 + 9x + 6) − (8x2 + 3x − 10) + (2x + 4)(3x

Diano4ka-milaya [45]

Answer:

x∧2+4x-16

Step-by-step explanation:

6 0

3 years ago

Create a six sided cube that shows examples of different solids and explain how to calculate the surface area and volume of each

gulaghasi [49]

We are given a six-sided cube. To determine the surface area and the volume of the cube, we need to know the area of one side:

All sides of the cube are squares with side, s. The area of one square is

A = s^2

The surface area of a cube is the sum of all areas of the sides. So

SA = 6 sides * s^2
SA = 6s^2

The volume of the cube is

V = s^3

The volume of the cube represents the total solid area of the cube which includes the space inside the solid.

7 0

3 years ago

Sheron sold 7 tomatoes for 3.53. how much will Sharon make if she sells 24 tomatoes

sweet [91]

Answer: $12.57 hope this helps

5 0

3 years ago

A customer deposits $500 in an account that pays 5% annual interest.

skelet666 [1.2K]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=500(1.05)^3\implies A\approx 578.81$

4 0

2 years ago