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3 years ago

The radius of a circle is 13 meters. What is the circle's circumference?

Mathematics

1 answer:

Vlad [161]3 years ago

8 0

Answer:

The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .

Step-by-step explanation:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

I hope this helps.

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3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $

Mandarinka [93]

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

$Gift\ Card = \$600$

$Movies =\ $20$

$Video\ Game = \$50$

$Minimum\ Items = 13$

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

$Cost = 14 * \$20 + 7 * \$50$

$Cost = \$280 + \$350$

$Cost = \$630$

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

$Cost = 8 * \$20 + 6 * \$50$

$Cost = \$160 + \$300$

$Cost = \$460$

Hence, the correct option is 8 movies and 6 video games

4 0

3 years ago

Given that (-5,-6) is on the graph of f(x), find the corresponding point for this function -1/3f(x).

masya89 [10]

<h3>Answer: (-5, 2)</h3>

Explanation:

We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.

5 0

2 years ago

If √6 is the geometric mean between 4 and another number, then the number is 1.5 9 24

konstantin123 [22]

Correct answer is A.

g - geometric mean
$g= \sqrt{ab} 
\\
\\g= \sqrt{6} ,a=4,b=?
\\ \sqrt{6}= \sqrt{4b} 
\\ (\sqrt{6})^2= (\sqrt{4b} )^2
\\6=4b
\\
\\b= \frac{6}{4} = \frac{3}{2}=1.5$

4 0

3 years ago

Find the value of an exterior angle of a polygon with 12 sides

Juli2301 [7.4K]

Answer:

$\huge \boxed{30\°}$

Step-by-step explanation:

To find the value of an exterior angle of a regular polygon, we can apply a formula.

$\displaystyle \frac{360}{n}$

$n = \sf number \ of \ sides$

$\displaystyle \frac{360}{12}=30$

3 0

3 years ago

Read 2 more answers

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$