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Sidana [21]
2 years ago
14

Suppose the radius of a circle is \color{purple}{3}3start color purple, 3, end color purple. what is its circumference?either en

ter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Mathematics
2 answers:
Vlada [557]2 years ago
6 0

\text{Consider the circle of radius 3.}\\
\\
\text{we need to find the cirumference of the circle.}\\
\\
\text{we know that the circumference of the circle of radius r is given by}\\
\\
\text{circumference}=2\pi r\\
\\
\text{so using this formula, the circumference of the given circle is}

\text{Circumference}=2\pi r\\
\\
=2\pi \times 3\\
\\
=6\pi
\\
\text{so the circumference of the circle is}=6\pi\\
\\
\text{and in decimals, it gives}=6\times 3.14\\
\\
\Rightarrow \text{circumference}=18.84

Hence the circumference of the circle is: 6π  or  18.84 units

Oliga [24]2 years ago
6 0

Answer:

18.84

Step-by-step explanation:

Formula for circumference of a circle: 2πr

The radius given: 3

Steps to find circumference:

  1. 2 × π (3.14) = 6.28
  2. 6.28 × 3 = 18.84

Therefore, the circumference of the circle would be 18.84

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Wyatt solved the following equation:
NikAS [45]

Answer:

<u>Option B</u>

Step-by-step explanation:

The question is as following:

x+\frac{1}{2} (6x-4) =6

Step Work Justification

1 2x + 6x − 4 = 12

2 8x − 4 = 12

3 8x = 16

4 x = 2

Which of the following has all of the correct justifications Wyatt used to solve this equation?

A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.

D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality

<u />

<u>The answer:</u>

Step Work Justification

multiply both sides by 2

1) 2x + 6x − 4 = 12 ⇒  {Multiplication property of equality}

{Combine like terms}

2) 8x − 4 = 12 ⇒

Adding 4 both sides

3) 8x = 16       ⇒ {Addition property of equality}

divide both sides by 8

4) x = 2           ⇒ {Division property of equality}

The answer is option B

(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

6 0
2 years ago
According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20. -5/2,-2, 1, 10/
stiks02 [169]
-5/2 is the answer. I just took the test and got it right.
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1 year ago
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The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

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For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

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7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

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9a + b = -8 -------(5)

Equation (4) - Equation (5)

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a = -1

From equation (4),

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-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
1 year ago
On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and c
andrew-mc [135]
F(x) = (x - 8)2-6

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ale4655 [162]

Answer:

No se, lo siento

Step-by-step explanation:

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