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grandymaker [24]
3 years ago
6

1. Find the circumference of a circle with a radius of 12 cm. Round decimal answer to the

Mathematics
2 answers:
Nana76 [90]3 years ago
5 0

Answer:

b. 75.40

Step-by-step explanation:

The circumference of a circle is the perimeter of the circle. To find the perimeter we would use the formula ⇒ 2 × π × r ⇔ or π × d ← where r is the radius and d is the diameter .

So lets substitute in the values

2 × π × r

Radius = 12

2 × π × 12 = 24 π = 75.3982236862

So the answer is b. 75.40

Wewaii [24]3 years ago
5 0

Answer:

b. 75.40

Step-by-step explanation:

Circumference = 2pi × r

= 2pi × 12

= 24pi

= 75.39822369

Nearest hundredth: 75.40 cm

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The solution to the answer is as follows:


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Write 42 as a product of prime numbers<br> 42=?<br> Please help
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Which is equal to (2+3i)+(-4+i)?<br> A, -2-4i<br> B, -2-2i<br> C, -2+2i<br> D, -2+4i<br> E, 6+4i
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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

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

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

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

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

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

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

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

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