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kakasveta [241]

3 years ago

5

Samuel needs $29 to download some songs and movies on his MP3 player. His mother agrees to pay him $6 an hour for raking leaves

in addition to his $5 weekly allowance. What is the minimum number of hours Samuel must work in one week?

2 answers:

monitta3 years ago

5 0

29/6= 4.8.
So you’d do 4 hours, and get your weeks allowance :)

Artyom0805 [142]3 years ago

4 0

29÷6=4.8
so just do 4 hours and just 1 week

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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

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Round 4.776 to the nearest hundred

bagirrra123 [75]

4.78 is 4.776 to the nearest hundred

6 0

3 years ago

What is the next number in the series 167, 118, 82

Katyanochek1 [597]

The next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The series is:

167, 118, 82

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know, the prime is divisible by 1 and itself.

The prime numbers before 82 are:

57, 41, 37, 31, 29, 23, 19.. and so on

The next number in series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Thus, the next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

3 0

1 year ago

Find the polynomial function

laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

<em>Writing the equations</em>

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

$\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]$

___

<em>Solving the equations</em>

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

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gtnhenbr [62]

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