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Tom [10]
4 years ago
14

Find the circumference of a circle whose diameter is 4cm

Mathematics
2 answers:
Kryger [21]4 years ago
8 0
The formula for the circumference of a circle is pi X diameter,
So:

4pi = 12.57
KonstantinChe [14]4 years ago
6 0

Circumference of a circle = π * diameter

=  4 *  π

=  12.57 cm to the nearest hundredth.

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Find the coordinates of the centroid of the triangle formed by the x-axis, the y-axis, and the line 12x + 9y = 36, show work ple
emmainna [20.7K]
Given the line 12x + 9y = 36

the line intersects the x-axis when y = 0,

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the line intersects the y-axis when x = 0,

i.e. 9y = 36 ⇒ y = 4

Thus, the y-intercept is (0, 4)

Thus, the coordinates of the vertices of the triangle are (0, 0), (0, 4) and (3, 0)

The midpoint of the side of the rectangle joining points (0, 0) and (0, 4) is (0, 2) and the equation of the median joining points (0, 2) and (3, 0) is given by

\frac{y-2}{x} = \frac{-2}{3}  \\  \\ \Rightarrow3(y-2)=-2x \\  \\ \Rightarrow y=- \frac{2}{3} x+2

The midpoint of the side of the rectangle joining points (0, 0) and (3, 0) is (1.5, 0) and the equation of the median joining points (1.5, 0) and (0, 4) is given by

\frac{y}{x-1.5} = \frac{4}{-1.5}  \\  \\ \Rightarrow1.5y=-4(x-1.5)=-4x+6 \\  \\ \Rightarrow y=- \frac{8}{3} x+4

The point of intersetion of the two medians is given by

- \frac{2}{3} x+2=- \frac{8}{3} x+4 \\  \\ \Rightarrow2x=2 \\  \\ \Rightarrow x=1 \\  \\ \Rightarrow y=-\frac{2}{3}+2=\frac{4}{3}

Therefore, the centroid of the given triangle is located at point \left(1, \frac{4}{3} \right)
4 0
3 years ago
Gloria bought each of her three younger siblings a movie ticket.find the total cost of the movie tickets if each ticket cost $9.
jeka94

Answer:

The answer is 29.25

Step-by-step explanation:

Using distributive property, the equation would be 3(9.75).

9.75*1+9.75*1+9.75*1=29.25

4 0
3 years ago
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