Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Here are the completed tables

Gallons Quart

1               4

2               8

5               20

7               28

Quart    Pint

1             2

3             6

6           12

8            16

Pint  Cup

1          2

3         6

5        10

9       18

The capacity of the objects are:

Swimming pool - 5000 gallons

Watering can - 8 quarts

Juice box - 2 pints

Soup bowl - 2 cups

The measurement from least to greatest is: 6 pints, 2 galloons, 18 cups, 6 quart.

In order to fill the tables, the unit of conversion has to be known:

1 gallon = 4 quart

1 quart = 2 pints

6 pint / 2 = 3 quarts

12 / 2 = 6 quarts

8 x 2 = 16 pints

In order to order the measurement, all the measurements have to be in the same units. All the units would be converted to cups

1 quart = 4 cups

4 x 6 = 24 cups

1 galloon = 16 cups

16 x 2 = 32 cups

1 pint = 2 cups

6 x 2 = 12 cups

To learn how to convert units, please check: https://brainly.com/question/25993533

Answer:

13.69%

Step-by-step explanation:

793-54=739

739/54=13.68518519

1: [tex]3n^{2}+9n+6[/tex]

notice that each part is divisible by 3

[tex]3n^{2}[/tex] ÷ 3 = [tex]n^{2}[/tex]

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes [tex]3(n^{2} +3n+2)[/tex]

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

[tex]3(n^{2} +2n+n+2)[/tex]

Now that it's rewritten, you can factor out n + 2 from the equation.

the answer is

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is [tex]n^{2} +2n+n+2[/tex] and then each of those by 3, which is [tex]3n^{2} +6n+3n+6[/tex] or [tex]3n^{2}+9n+6[/tex], our origional equation

2: [tex]28+x^{2} -11x[/tex]

So I rewrote this as [tex]x^{2} -11x+28[/tex] (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

[tex]x^{2} -4x-7x+28[/tex]

now we can factor out x from the first expression and -7 from the second

[tex]x(x-4)-7(x-4)[/tex]

and lastly you factor out x-4,

which would give you

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to [tex]x^{2} -11x+28[/tex]

3: [tex]9x^{2} -12x+4[/tex]

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as [tex]3^{2}[/tex] and 4 as [tex]2^{2}[/tex], the equation becomes

[tex]3^{2} x^{2} -12x+2^{2}[/tex]

now that [tex]3^{2} x^{2}[/tex] is ugly so it can be turned into [tex](3x)^{2}[/tex]

and -12x can be rewritten as [tex]-2*3x*2[/tex]

so our equation now looks like [tex](3x)^2-2*3x*2+2^{2}[/tex]

There's a rule that says [tex]a^{2} -2ab+b^{2} = (a-b)^{2}[/tex]

In our case, a=3x and b=2

so the final answer is

[tex](3x-2)^2[/tex]

Answer:

  (d)  x = 3  or  x = 4

Step-by-step explanation:

The zero product property can be used to find the solutions to a polynomial equation when it is written in factored form.

__

Your polynomial can be put in factored form like this:

  x² +12 = 7x . . . . . given

  x² -7x +12 = 0 . . . . . standard form

  (x -3)(x -4) = 0 . . . . . factored form*

  x = 3  or  x = 4 . . . . . . values of x that make the factors zero

_____

* The constants in the binomial factors must have a sum of -7 and a product of +12. It is often convenient to find them by listing factor pairs of 12:

  12 = (-1)(-12) = (-2)(-6) = (-3)(-4)

Negative factors are used because we know the sum must be negative. Both have the same sign so their product is positive. The sums of the pairs shown are -13, -8, -7. The last pair is what we're looking for.

Answer:

B. 15/4 z + 12

Step-by-step explanation:

Apply the distributive property and multiply 3/4 by 5z and by 16.

3/4 (5z + 16) = 3/4 × 5z + 3/4 × 16 = 15/4 z + 12

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\text{Write an expression that is equivalent to }\rm{\dfrac{3}{4}(5z + 16).}[/tex]

[tex]\huge\textbf{In order to answer this question, you}\\\huge\textbf{have to distribute. If you're unsure what}\\\huge\textbf{the distributive property formula is, it is:}[/tex]

[tex]\large\textsf{a(b + c)}[/tex]

[tex]\rightarrow\large\textsf{a}\times\large\textsf{{b + a}}\times\large\textsf{c}[/tex]

[tex]\rightarrow\large\textsf{ab + ac}[/tex]

[tex]\huge\textbf{Now, that we have that much}\\\huge\textbf{information out of the way, we can}\\\huge\textbf{now begin to answer the given question.}[/tex]

[tex]\huge\textbf{Here's what your equation looks like:}[/tex]

[tex]\mathsf{\dfrac{3}{4}(5z + 16)}[/tex]

[tex]\huge\textbf{Solving it:}[/tex]

[tex]\mathsf{\dfrac{3}{4}(5z + 16)}[/tex]

[tex]\rightarrow\mathsf{\dfrac{3}{4} \times 5z + \dfrac{3}{4} \times 16}[/tex]

[tex]\rightarrow\mathsf{\dfrac{15}{4}z + 12}[/tex]

[tex]\huge\textbf{Therefore, your answer is most likely:\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] }[/tex][tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ B. \dfrac{15}{4}\mathsf{z} + 12}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Start by deciding how long is your fence going to be and how much space you want between posts. Typically, the post space is somewhere between 6 and 8 feet; or 2 and 5 meters, depending on your preference.

Answer: the answer would be 6-8 feet

Step-by-step explanation: the guy below me explains it well

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

The length of the diagonal of the cuboid is found out using the following formula.

[tex]D=\sqrt{l^2+b^2+h^2}[/tex]

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,

The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

[tex]D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in[/tex]

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

Learn more about the cuboid here;

https://brainly.com/question/22694657

#SPJ1

Answer:

.6 x 10^3   = 6000

Step-by-step explanation:

4.8 E5  / 8 E2   = .6 E3

Answer:

60%

Step-by-step explanation:

There are 50 people in the class the total.

30/50 are boys. .6=60%

Answer:

64000

Step-by-step explanation:

Step-by-step explanation:

[tex]40 \times 40 \times 40[/tex]

[tex]160 \times 40[/tex]

[tex]6400[/tex]

Answer:

21.2 square meters

Step-by-step explanation:

The area of a parallelogram is base • height.

So:

1. Calculate the area of what you can get for $50. 5 • 212 = 1060 square meters.

2. Now you divide the first price ($50) by the desired price ($1). This one is easy because 50 / 1 = 50, but I'm putting this here for future reference in case you need to solve a problem that has a desired price that's greater than $1.

3. Divide the answer to step one by the answer to step two to get the area you can have painted for $1. 1060 / 50 = 21.2 square meters.