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4vir4ik [10]
3 years ago
6

Find the area of a circle with diameter, d = 18m.Give your answer in terms of π.​

Mathematics
2 answers:
Fofino [41]3 years ago
8 0

Answer:

81π

Step-by-step explanation:

Area of a circle formula is : A=\pi r^2. r stands for radius.

Radius is half of the diameter. To solve for the area of the circle, we must replace r with diameter/2 which is 9 (18/2 = 9).

A=\pi 9^{2}

Now, the question wants us to give the answer in terms of pi. So we are going to simplify the equation WITH PI. Meaning, we aren't going to multiply pi. So we will just simplify 9 squared to 81.

So in terms of pi the area is 81π

Svetllana [295]3 years ago
6 0

Answer:

81π

Step-by-step explanation:

Area of a circle= πr^{2} ( where r is the radius multiplying it twice)

Area of a circle = π × r × r ( this is the formula in simplier terms )

Area of a circle = 3.14 × 9 × 9 ( To get 9 divide 18 by 2 as diameter is 2 radii

Area of a circle = 81π ( multiply the numbers AND THESE ARE THE TWO NINES LEAVING π)

HOPE IT HELPED

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8_murik_8 [283]

Answer:

The answer to your question is given below.

Step-by-step explanation:

To which of the above expression is a sum or difference of cube, or not a sum or difference of cube, we shall do the following simplification:

Note: The Cube root of a particular number is simply a multiplication of an identical number in three places.

64x³ – 216

64 has a cube root of 4 and 216 has a cube root of 6. Therefore, the above expression can be written as:

4³x³ – 6³

(4x)³ – 6³

64x³ – 216 = (4x)³ – 6³

Therefore, 64x³ – 216 can be expressed as a difference of cube.

8x^9 + 27

8 has a cube root of 2, x^9 has a cube root of x³ and 27 has a

cube root of 3. Therefore, the above expression can be written as:

2³(x³)³ + 3³

(2x³)³ + 3³

8x^9 + 27 = (2x³)³ + 3³

8x^9 + 27 can be expreessed as a sum of cube

x³ + 125

125 has a cube root of 5. Therefore, the above expression can be written as:

x³ + 5³

x³ + 125 = x³ + 5³

x³ + 125 can be expressed as a sum of cube

36x³ + 121

36 and 121 has no cube root. Therefore, the above expression is not a sum or difference of cube.

x^6 – 16

x^6 has a cube root of x² and 16 has no cube root. Therefore, the above expression is not a sum or difference of cube.

Summary:

Sum or Difference of cubes

64x³ – 216

8x^9 + 27

x³ + 125

Not a Sum or Difference of cubes

36x³ + 121

x^6 – 16

5 0
4 years ago
Without using a calculator, determine the number of real zeros of the function
Natalija [7]

Answer:

1, -6

Step-by-step explanation:

Since there are alike numbers, add them together.

4x+x= 5x

Now the function is: f(x)= x^{2}+5x-6

The function is in  a^{2}+bx+c form.

So find the factors of a x c = b.

Factors of -6(a) that fits (b)5 is (-1,6).

Then you just factor it:

f(x)= x^{2}+5x-6

(x-1)(x+6)

x-1= 0  x+6=0

 +1 +1     -6  -6

x=1      x=-6

Those are the real zeroes: 1, -6

4 0
3 years ago
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