A \greenD{12\,\text{cm} \times 2\,\text{cm}}12cm×2cmstart color #1fab54, 12, start text, c, m, end text, times, 2, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{8\,\text{cm}}8cmstart color #11accd, 8, start text, c, m, end text, end color #11accd.

What is the area of the shaded region?

Answer:

its four times larger

Step-by-step explanation:got it right on the test

1.Perimeter: [tex]\( P ≈ 31.05 \, mm \)[/tex]

2. Apothem: [tex]\( a ≈ 4.89 \, mm \)[/tex]

3. Area: [tex]\( Area ≈ 75.91 \, mm^2 \)[/tex]

So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \).[/tex]

To find the area of a regular polygon, you can use the formula:

[tex]\[ Area = \frac{1}{2} \times Perimeter \times Apothem \][/tex]

Where:

- Perimeter is the total length of all the sides of the polygon.

- Apothem is the distance from the center of the polygon to the midpoint of any side.

For a regular polygon, the apothem can be calculated using trigonometry. In this case, the regular 15-gon (also called a pentadecagon) has 15 equal sides.

Let's break down the steps:

1. Calculate the Perimeter:

  The perimeter of a regular polygon with ( n ) sides can be calculated as [tex]\( P = n \times s \)[/tex], where ( s ) is the length of each side. Since we're given the radius of the polygon, we need to calculate the length of one side using trigonometry.

2. Calculate the Apothem:

  The apothem of a regular polygon can be calculated using the formula:

[tex]\[ a = r \times \cos\left(\frac{\pi}{n}\right) \][/tex]

  where ( r ) is the radius of the polygon, and ( n ) is the number of sides.

3. Plug the values into the Area Formula:

  Once you have both the perimeter and the apothem, you can plug them into the area formula and calculate the area.

Let's do the calculations:

1. Calculate the Perimeter:

  The length of one side ( s )) can be calculated using trigonometry. Since we're dealing with a 15-gon, each interior angle is[tex]\( \frac{(15-2) \times 180°}{15} = 156° \).[/tex]

  Using the law of cosines:

[tex]\[ s = 2 \times r \times \sin\left(\frac{180°}{15}\right) \][/tex]

[tex]\[ s = 2 \times 5 \times \sin(12°) \][/tex]

 [tex]\[ s ≈ 2 \times 5 \times 0.207 ≈ 2.07 \, mm \][/tex]

  So, the perimeter (( P )) is:

[tex]\[ P = 15 \times 2.07 ≈ 31.05 \, mm \][/tex]

2. Calculate the Apothem:

[tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]

 [tex]\[ a = 5 \times \cos(12°) \][/tex][tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]

[tex]\[ a ≈ 5 \times 0.978 ≈ 4.89 \, mm \][/tex]

3. Plug the values into the Area Formula:

[tex]\[ Area = \frac{1}{2} \times 31.05 \times 4.89 \][/tex]

[tex]\[ Area ≈ \frac{1}{2} \times 31.05 \times 4.89 ≈ 75.91 \, mm^2 \][/tex]

So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \)[/tex].

Answer:

There is a 5% difference

Step-by-step explanation:

80%-75%=5%

The number that satisfies both conditions (-5+z being positive and -6+z being negative) given in the question is z = 6.

To solve this problem, we use the clues given in the question that (-5+z) is positive and (-6+z) is negative. A number, when added to -5, resulting in a positive one, must be greater than 5. However, when the same number is added to -6, it results in a negative answer, meaning it must be less than 6.

Considering both conditions and finding a number that meets them, we can see that z = 6 is the only possible option. This is because 6 is greater than 5 making -5+6 positive. However, since 6 is equal to 6, -6+6 equals zero, and zero isn’t considered negative, thus satisfying both conditions.

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Answer:

(-2,0) and (-7,0).

Step-by-step explanation:

Hope this helps!

Answer:

should be A

Step-by-step explanation:

Answer:The answer is 10r-84=4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

8+18w

Step-by-step explanation:

Use the distributive property.

2*4 + 2*9w = 8+18w

please thank me, rate, and mark brainliest if you like!

;)

Answer:

g = 7

Step-by-step explanation:

you add 9 to 9 and cancle it out . then you add 9 to -2 and you get 7 = g . just switch it around and you get your answer .

Answer:

7=g

Step-by-step explanation:

Answer:

x-intercepts (4,0) and (-2,0)

Step-by-step explanation:

f(x)=(x-4)(x+2)

f(x)=0=y

0=(x-4)(x+2)

x-4=0 or x+2=0

x=4 or x=-2

x-intercepts (4,0) and (-2,0)

Answer:

= 16 pi cm²

Step-by-step explanation:

Area of a circle = pi × r ²

Where r = radius = 4cm

Therefore

Area = pi × 4²  cm²

Area = pi × 4 × 4 cm²

Area = pi × 16 cm²

Area = 16 pi cm²

I hope this was helpful, please rate as brainliest

Answer:

[tex]1,963\ m[/tex]

Step-by-step explanation:

step 1

Find the circumference of the circular track

The circumference is given by the formula

[tex]C=\pi D[/tex]

we have

[tex]D=125\ m[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]C=(3.14)(125)=392.5\ m[/tex]

step 2

If Ming walks around the track 5 times, then to find out the total meters that she will walk, multiply the circumference of the circular track by 5

[tex]392.5(5)=1,963\ m[/tex]

Answer:

B. Add the area of the rectangle with the area of the triangle.

Step-by-step explanation:

Simple Answer..

The possible areas to find the area of the composite figure is; Add the area of the rectangle with the area of the triangle and Multiply the area of the rectangle by 2.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The composite figure is made up of two shapesas; a rectangle and a triangle. To determine the total area of the composite figure, we can use one of the methods:

First Add the area of the rectangle with the area of the triangle:

We can find the area of the rectangle by multiplying its length and width. We can determine the area of the triangle by multiplying its base and height and then dividing by 2.

Once we get both areas, we can add them together to find the total area of the composite figure.

Multiply the area of the rectangle by 2:

Since the composite figure consists of two rectangles, we can determine the area of one rectangle and then multiply it by 2 to get the total area of the composite figure.

Therefore, by area, the answer will be x2 area of the rectangle and sum of the area of the rectangle and triangle.

Learn more about the area;

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Answer:

4(p−1)(p−3)

Step-by-step explanation:

Factor 4p2−16p+12

4p2−16p+12

=4(p−1)(p−3)

Answer: (p-1)(p-3)

Step-by-step explanation:

See the answer below

Answer:

$390

Step-by-step explanation:

First he has $500-$40=$460

So now he has $460+$30=$490

He has $490-$100=$390

$390 money is left in his account.

Explanation:

First, he has $500-$40=$460

So now he has $460+$30=$490

He has $490-$100=$390

Word problems normally encompass mathematical modeling questions, where facts and statistics approximately a positive system is given and a student is required to expand a model. for example Jane had $five.00, then spent $2.00. How lots does she have now?

You could use three common varieties of word problems-- part-part-whole, separate and join and multiply and divide -- for everything from counting pennies to calculating a tip.

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Answer:

21 questions

Step-by-step explanation:

First find the unit rate by dividing question number by hours  

35/5=7

So he makes 7 questions per hour

Multiply 7 by 3

7*3=21

So, he makes 21 questions in 3 hours

Hope this helps! :)

11.6

fg dsjkfl;jslbnlkxcvgbhjkl

The longest distance between corners inside his closet is 105.3 inches

Adam's closet is given in the form of a rectangular prism as shown below. Here, we know that:

[tex]Length=L=26in \\ \\ Width=W=24in \\ \\ Height=H=96in[/tex]

The longest distance between corners inside his closet is given by the formula:

[tex]d=\sqrt{L^2+W^2+H^2} \\ \\ Substituting \ values:\\ \\ d=\sqrt{36^2+24^2+96^2} \\ \\ d=\sqrt{11,088} \\ \\ d=105.29 \\ \\ \\ \text{Round to the nearest tenth} \\ \\ d=105.3[/tex]

Then:

The longest distance between corners inside his closet is 105.3 inches

Answer:

x=45

Step-by-step explanation:

so use the formula a²+b²=c²

the a is 6

the b is x (unknown)

the c is 9

6² is 36, and 9² is 81

to find the missing side subtract a (36) from c (81)

the answer is x=45

Answer:

-7

Step-by-step explanation:

hope this helps

Answer:

So, ADC = 124/2 => ⛰ ADC = 62°

Step-by-step explanation:

If ABC i.e angle of centra = 124°

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle

Thank You ☺️ ☺️.

Angle ABC is 124 degrees.  That makes a linear pair with angle DBC, which must be the supplement 56 degrees.

That's the unique angle in an isosceles triangle.  The others must be (180-56)/2=62.

Answer:    62°

Answer:

5.375 square ft

Step-by-step explanation:

Side of squre = 5 ft

Diameter of semicircle = 5ft

Radius of semicircle (r) = 5/2 cm = 2.5 cm

Area of green part of logo = area of square - 2 times area of one semicircle

[tex] = {side}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = {5}^{2} - 3.14 \times {(2.5)}^{2} \\ \\ = 25 - 3.14 \times 6.25 \\ \\ = 25 - 19.625 \\ = 5.375 \: {ft}^{2} \\ [/tex]

The correct equations where n=6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48. This is determined by substituting n = 6 into every equation and checking if both sides equate.

The topic being explored here is identifying the proper equations with n = 6 as the solution. This involves plugging in the value of n (which is 6) into each equation and checking if the equation holds true.

Therefore, the correct equations where n = 6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48.

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12.24 inches

you would do 10.2 x 1.2

Answer: 12.24

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

i took the quiz on Edge

The solution to the system of linear equations graphed below if, On a coordinate plane, 2 lines intersect at (3.5, negative 4) is (0, negative 4).

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.

Given:

On a coordinate plane, 2 lines intersect at (3.5, negative 4),

the coordinates of the intersection point are (3.5, -4)

The equation of must satisfy these coordinates,

On the y-axis line will have no x-intercept i.e. x = 0

Hence, the coordinates will become (0, -4)

Thus, the solution to the system of linear equations graphed below is (0, negative 4).

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Answer:

Travis should pick to play the hat game.

Step-by-step explanation:

You would need to evaluate the probablity of winning in each option

Option 1 (rolling die)

p(roll 2 or 3)=2/6

p(roll 2 or 3)=1/3=.33

Option 2 (pick letters)

p(pick A or B) = 2/5

p(pick A or B) = .4

.33<.4

Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.

Answer:

I think it is the second one

Answer:

The answer is 37.5%

Answer:

37.5%

Step-by-step explanation:

add 15+20 =40     15/40 *100(we use 100 because  a percent is always out of 100.) 0.375*100. = 37.5

Answer:

AA

Step-by-step explanation: