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klio [65]
3 years ago
10

A circle with the diameter of 20 mm is showing what is the exact Sir conference obvious and then question to what is the approxi

mate sir conference
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer:

The approximate circumference is 62.8 mm

Step-by-step explanation:

Circumference is basically the perimeter of the circle

Circumference is given by

2 *\pi *r

Here the diameter is 20 mm, so the radius will be half of diameter = 10 mm

Substituting the given values, in above equation, we get -

Circumference =

2 *3.14 * 10 \\62.8mm

The approximate circumference is 62.8 mm

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai
nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}

\frac{1}{4} = \frac{15 + x + x}{x(15+x)}

\frac{1}{4} = \frac{15 + 2x}{x(15+x)}

Applying cross multiplication.

x^2 + 15x = 4(15 + 2x)

x^2 + 15x = 60 + 8x

x^2 + 7x - 60 = 0

Quadratic equation with a = 1, b = 7, c = -60. So

\Delta = 7^{2} - 4*1*60 = 289

x_{1} = \frac{-7 + \sqrt{289}}{2} = 5

x_{2} = \frac{-7 - \sqrt{289}}{2} = -12

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0
3 years ago
Identify the percent of change as an increase or a decrease 20 to 30.
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Answer:

50% increase.

Step-by-step explanation:

(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease

(The formula)

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AB = 5x -9; BC= -2x + 12
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Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

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X= -3

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