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3 years ago

This figure is a regular 12-sided polygon. The diameter of the circle that circumscribes it

Mathematics

1 answer:

ahrayia [7]3 years ago

6 0

Answer:

Answer:

The radius of the polygon is 8.28 cm

Step-by-step explanation:

See the attached document

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a group of 13 ladies had lunch at a socal restaurant . the total bell for their lunch was 123.50. the ladies agreed that each on

vlada-n [284]

Answer:

$9.50

Step-by-step explanation:

$123.50/13 ladies

they each pay $9.50

7 0

3 years ago

4y + 12 = 7 - 5y thank you :)

riadik2000 [5.3K]

Y= -5 i am pretty sure

3 0

3 years ago

Read 2 more answers

Using the method of completing the square, put each circle into the form

tatiyna

Answer:

Standard form: $(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Center: $(\frac{1}{2}, 0)$

Radius: $r =\sqrt{15}$

Step-by-step explanation:

The equation of a circle in the standard form is

$(x-h)^{2} + (y-k)^{2} = r^{2}$

Where the point (h, k) is the center of the circle

To transform this equation $4x^{2} -4x + 4y^{2} - 59 = 0$ this equation in the standard form we use the method of square.

First, we group similar variables

$(4x^{2} -4x) + (4y^{2}) - 59 = 0$

Divide both sides of equality by 4

$(x^{2} -x) + (y^{2}) - 14.75 = 0$

Now we complete square for variable x.

Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:

$b =-1\\\\\frac{b}{2}= \frac{-1}{2}= -\frac{1}{2}\\\\(\frac{b}{2})^2= (-\frac{1}{2})^2 = \frac{1}{4}$

Now add $(\frac{b}{2})^2$ on both sides of the equality

$(x^{2} -x +\frac{1}{4}) + (y^{2}) - 14.75 = (\frac{1}{4})$

Factor the expression and simplify the independent terms

$(x-\frac{1}{2})^2 + (y^{2}) = 15$

$(x-\frac{1}{2})^2 + (y-0)^2 = 15$

Then

$h =\frac{1}{2}\\\\k=0$

and the center is $(\frac{1}{2}, 0)$

radius $r =\sqrt{15}$

3 0

3 years ago

From the adjoining Venn-digram, list the members of the following sets.

adell [148]

Answer:

From the Venn diagram,

A={0,3,5,8,10}

B={0,1,5,7,8,11}

C={0,1,3,4,5,6}

(A∪B)

′

={2,4,6,9,12}

4 0

2 years ago

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin. If a 200 calorie muffin has 50

Reptile [31]

Answer:

830 calories

Step-by-step explanation:

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.

Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:

N α A

=> N = kA

where k = constant of proportionality

A 200 calorie muffin has 500 grams of sugar.

This implies that:

200 = k * 500

=> k = 200 / 500 = 2/5

The constant of proportionality is 2/5.

The number of calories in a muffin with 2075 grams of sugar is:

N = 2/5 * 2075

N = 830 calories

There are 830 calories.

4 0

3 years ago