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olganol [36]
3 years ago
13

Find the circumference and area of the circle​

Mathematics
2 answers:
Dimas [21]3 years ago
5 0

Answer:

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle

π is a constant whose value is 3.14

From the diagram,

Diameter = 16 inches

Radius = diameter/2 = 16/2 = 8 inches

Circumference = 2 × 3.14 × 8 = 50.24 inches

The formula for determining the circumference of a circle is expressed as

Area = πr²

Area = 3.14 × 8² = 200.96 inches²

jekas [21]3 years ago
4 0

Answer:

  • The area of a circle is
  • \pi \: r {}^{2}
  • while the circumference is
  • \pi \: d
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Round the product of 0.24 and 0.26 to the nearest hundredth. What is the answer?
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0.06 because the product is 0.0624
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What is 2x+8y=12 in slope intercept form <br>as well as x-2y=0 in slope intercept form 
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the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\ 2x+8y=12 \ \ |-2x \\ \\8y=-2x+12\ \ /:8\\ \\y=-\frac{2}{8}x+\frac{12}{8}

y=-\frac{1}{4}x+\frac{3}{4}\\ \\ m=-\frac{1}{4}



x-2y=0 \ \ | -x \\ \\-2y=-x \ \ /:(-2)\\ \\y=\frac{1}{2}x \\ \\ m= \frac{1}{2}






8 0
3 years ago
Read 2 more answers
5m - 4n, when m=5 and n = 3.
tiny-mole [99]

Answer:

5m - 4n

5(5) - 4(3) ( As m= 5 and n= 3)

25 - 12

= 13

8 0
2 years ago
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PLEASE HELP!!!!! 3, 8, 13, 18, 23, ....<br><br> The recursive formula for this sequence is:
rodikova [14]

Answer:

a₈ = 37

Step-by-step explanation:

The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .

The recursive formula for the sequence is: $ a_n = a_{n - 1} + 5 $

Here, $ a_n $ represents the $ n^{th} $ of the sequence.

And, $ a_{n - 1} $ represents the $ (n - 1)^{th} $ of the sequence.

'+5' denotes that '5' is added to the $ (n - 1)^{th} $ term to get the $ n^{th} $ term. In other words, the difference between two consecutive numbers in the sequence is 5.

Now, we are asked to find a₈ i.e., n =8.

Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.

So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.

⇒ a₆ = 23 + 5 = 28.

⇒ a₇ = 28 + 5 = 32.

⇒ a₈ = 32 + 5 = 37.

Therefore, the $ 8^{th} $ term of the sequence is 37.

8 0
3 years ago
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

m = -3 * 6

m = -18

This is in contrast to m = -\frac{1}{2}, calculated by Cody

Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (\frac{1}{2},4)

m = -18

y - 4 = -18(x - \frac{1}{2})

y - 4 = -18x + 9

Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

6 0
3 years ago
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