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Assoli18 [71]
3 years ago
8

Which value is closest to the perimeter of the window?

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:12.85 feet

Step-by-step explanation:

Since the diameter of the circle is 5ft, the perimeter of the full circle would be 5 times pi feet, or about 15.7 ft. However, since we're only look at a half circle, the perimeter of the half circle is half that or about 7.85 feet. The other part of the perimeter is the diameter itself, so we add 5ft, to get a total of 12.85 feet.

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Choose all that give the correct expression for the quantity described. The difference of nine times a number x and the quotient
ohaa [14]

Step-by-step explanation:

We are to get the expression for the following statements;

1) The difference of nine times a number x and the quotient of that number and 5.

The product of nine and a number x is expressed as;

=9 \times x\\= 9x

The quotient of that number and 5.

= \frac{x}{5}

The difference between both expression;

9x - \frac{x}{5}

Hence, the difference of nine times a number x and the quotient of that number and 5 is expressed as 9x - \frac{x}{5}

2) Eight more than the quotient of twelve and a number n

Quotient of twelve and a number n is expressed as:

\frac{n}{12}

Eight more than the resulting function is;

\frac{n}{12}+8

Hence eight more than the quotient of twelve and a number n is expressed as \frac{n}{12}+8

3) The product of a number and the quantity 'six minus the number' plus the quotient of eight and the number.

Let the number be x:

six minus the number is expressed as;

6-x

product of a number x and the quantity 'six minus the number is;

x(6-x)

quotient of eight and the number is;

\frac{8}{x}

Taking the resulting sum of the last two expression

x(6-x) + 8x

Hence the product of a number and the quantity 'six minus the number' plus the quotient of eight and the number is expressed as;

x(6-x) + 8x

4) Sum of three consecutive even integers. 2x + (2x + 2) + (2x + 4).

Let the first even number be 2x

The consecutive even numbers are gotten by adding 2 to the preceding number. The two consecutive even integers are 2x+2 and 2x+2+2

the sum of three consecutive even integers is expressed as;

= 2x +(2x+2)+(2x+2+2)\\=  2x+(2x+2)+(2x+4)

4 0
3 years ago
I need this fast!........................
Schach [20]

Answer:  (2,2)

Step-by-step explanation:

1. Substitute y=0 into first equation and solve for "x" in order to find the x-intercept of the first line:

0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6

2. Substitute x=0 into the first equation and solve for "y" in order to find the y-intercept of the first line:

y=-\frac{1}{2}(0)+3\\\\y=3

Knowing that first line passes through the points (6,0) and (0,3), you can graph it.

3. Substitute y=0 into second equation and solve for "x" in order to find the x-intercept:

0=2x-2\\\\2=2x\\\\x=1

4. Substitute x=0 into the second equation and solve for "y" in order to find the y-intercept of the second line:

y=2(0)-2\\\\y=-2

Knowing that second line passes through the points (1,0) and (0,-2), you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

(2,2)

7 0
3 years ago
A quality control officer is randomly checking the weights of sugar bags being filled by an automatic filling machine. Each bag
lisov135 [29]
The answer is x=0.065217391 kilograms
4 0
3 years ago
Read 2 more answers
Approximate the square root of 500 to the nearest tenth. Show your work.
bulgar [2K]
\sqrt{500} \rightarrow \sqrt{5 * 10 * 10} \rightarrow 10\sqrt{5} This is an exact answer. the answer will be a bit larger than 20
4 0
3 years ago
Which property is it?
ddd [48]
Answer is G
 with or without the 10, you are going to get 5 as your answer to the equation
7 0
3 years ago
Read 2 more answers
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