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natulia [17]
3 years ago
10

Find the Circumference of the circle. Use 3.14 for π. Round your answer to the nearest tenth.

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

Answer:

28.3 cm

Step-by-step explanation:

The formula to find the circumference is 2•π•radius. The diameter is 9 cm, so the radius is 9/2 = 4.5 cm. So, the circumference is:

2•4.5•3.14 = 28.26 ≈ 28.3 cm

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lesya692 [45]

Answer:

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4 0
3 years ago
Expand and simplify (2x−12) ^2
lubasha [3.4K]

Answer:

\boxed{4x^{2}  - 48x + 144}

Step-by-step explanation:

Given expression:

  • (2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

\rightarrowtail (2x - 12)^{2}

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \  [\small\text{First term = a = 2x; Second term = b = 12]}

Now, simplify the expression.

\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}

\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)

\rightarrowtail \boxed{4x^{2}  - 48x + 144}

4 0
2 years ago
Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.​
mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

  • We are dealing with consecutive integers; these are integers with a difference of 1 between them.

   let the first number = x

               second number  = x + 1

  • one - fifth of first;

             \frac{1}{5}x

  •   one - ninth of the second;

            \frac{1}{9}(x + 1)

for the "less" ;

         \frac{1}{5}x -  \frac{1}{9}(x + 1) = 3

Multiply through by 45

       45(\frac{1}{5}x) - (45) \frac{1}{9}(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

4 0
3 years ago
What is the actual area, in square meters, of this field?
o-na [289]

Answer:

Step-by-step explanation:

First it base times height times (1/2)

The base is 7 boxes

The height is 5 boxes

A=(7)(5)(1/2)

A=(35)(1/2)

A=17.5

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2 years ago
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