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2 years ago

Work out the circumference of this circle. Give your answer in terms of pi and state its units

Mathematics

2 answers:

Sati [7]2 years ago

4 0

Answer:

14π cm

Step-by-step explanation:

Circumference of a circle given the diameter is :

πd

We simply substitute the value given in the image into our formula to find our answer:

πd = π×14 = 14π

Units will be cm as circumference is a length

This is our final answer as the question states to leave it in pi form .

Hope this helped and brainliest please

pochemuha2 years ago

4 0

Answer:

14π cm

Step-by-step explanation:

Circumference of a circle with radius r = 2πr or 2rπ

The diameter d is twice the radius so circumference = dπ

Here d= 14 so the answer is 14π cm

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)

AlekseyPX

Answer:

The approximate solution to the system is $(-2.7, 2.1)$ .

Step-by-step explanation:

To solve the system of equations $\begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$ you must:

$\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}$

$\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7$

$\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1$

The approximate solutions to the system of equations are:

$x=-2.7 ,\:y=2.1$

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3 years ago

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Step-by-step explanation:

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3 years ago

A fair six-sided dice is rolled once. What is the probability that a 2 is shown?

VashaNatasha [74]

Answer:

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Step-by-step explanation:

There is one 2 on a six sided die. Therefore there is a 1/6 chance that it was a 2.

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3 years ago

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dezoksy [38]

Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

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Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

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3 years ago