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I am Lyosha [343]
1 year ago
11

Please help, image below. Thank you!

Mathematics
1 answer:
kolbaska11 [484]1 year ago
8 0

Answer:

10 Inches

Hope it helps, have a fantastic day.

Step-by-step explanation:

The Circumference of a circle can be displayed by this formula:

C = 2\pi r

C is the circumference, and r is the radius.

So just plug in 31 for C, and simplify:

31 = 2\pi r

Because the question is asking for the diameter, we only need to divide both sides by pi, as 2r is the same thing as diameter.

9.87 = 2r (rounded to the nearest hundredth)

We can even rewrite 2r as d, which stands for diameter, to make things a little simpler.

9.87 = d

Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.

Hope it helps, have a fantastic day.

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The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

<h3>Quadratic Equation</h3>

Quadratic equation are polynomials with a second degree as it's highest power.

An example of a quadratic equation is

y = ax^2 + bx + c

The given quadratic equation is 24x^2 + 2x = 15

Let's rearrange the equation

24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0

This implies that

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The equation or formula of quadratic formula is given as

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}

We can substitute the values into the equation and solve

y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}

From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4

Learn more on quadratic equation here;

brainly.com/question/8649555

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