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Mariulka [41]
2 years ago
14

What is the circumference of the circle below? Use the formula C = 2tr.

Mathematics
2 answers:
stiv31 [10]2 years ago
7 0
The answer to this question would be B
alexandr1967 [171]2 years ago
5 0

Answer: B

Step-by-step explanation:

The formula for circumference of a circle is 2 pie radius (2πr)

1. radius=5

2 so 2π(5)

3 2x5=10

4. 10π

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you go shopping and your bill comes to $54. The sales tax added on equals 7%. What is the amount of sales tax added to you bill?
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7.78 is the sales tax’s
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3 years ago
Select the correct answer
scoray [572]

Answer: A

Step-by-step explanation:

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2 years ago
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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for x days.

So, for x days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = \frac{360}{x}

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = (x+4) days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= (\frac{360}{x}-3)

Total expense in dollars can now be given as:  (x+4)(\frac{360}{x}-3)

Simplifying by using distribution (FOIL).

(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))

360-3x+\frac{1440}{x}-12

348-3x+\frac{1440}{x}

We know total expense remains the same which is = $360.

So, we have the equation as:

348-3x+\frac{1440}{x}=360

Multiplying each term with x to remove fractions.

348x-3x^2+1440=360x

Subtracting 348x both sides

348x-348x-3x^2+1440=360x-348x

-3x^2+1440=12x

Dividing each term with -3.

\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}

x^2-480=-4x

Adding 4x both sides.

x^2+4x-480=-4x+4x

x^2+4x-480=0

Solving using quadratic formula.

For a quadratic equation: ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plugging in values from the equation we got.

x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}

x=\frac{-4\pm\sqrt{16+1920}}{2}

x=\frac{-4\pm\sqrt{1936}}{2}

x=\frac{-4\pm44}{2}

So, we have

x=\frac{-4+44}{2}   and x=\frac{-4-44}{2}

x=\frac{40}{2}   and x=\frac{-48}{2}

∴ x=20           and x=-24

Since number of days cannot be negative, so we take x=20 as the solution for the equation.

Thus, the original duration of the tour = 20 days

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3 years ago
I have a kit for constructing a chicken coop. The kit comes with 10-foot long beams. The instructions say to cut each beam into
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-4y+8-3x+4y+9+5x= Need help
lord [1]

Answer:

2x+17

Step-by-step explanation:

-4y+8-3x+4y+9+5x

Combine like terms

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2x             +0             +17

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3 years ago
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