If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the Circle that is not covered by the hexagon? ( with explanation )

Answer: 16.1

Step-by-step explanation:

x^2 = 8^2 + (28/2)^2

x^2=64 + 196

x^2= 260

Take the square root of 260 and get 16.1!

The value of x is x=16.1

The perpendicular from the center of a circle bisects the chord

A line from the center of the circle to the circumference of the circle is the radius of the circle

Lets connect the center of the circle to the other end of the chord that is at the circumference of circle

The diagram attached below

The line OA from the center bisects the chord

AB= half of 28 = 14

the triangle AOB forms a right angle triangle

apply Pythagorean theorem to find out the value of x

[tex]x^2=8^2+14^2\\x^2= 64+196\\x^2=260\\\sqrt{x^2}=\sqrt{260} \\ x=16.1[/tex]

The value of x is 16.1

Learn more information about 'perpendicular line ' here

brainly.com/question/4234327

Answer:

#11: 1180.428 571

#12: 80.166... repeating

#13: 237.5

#14: 686

#15: 2682.333 repeating

#16: 122

Step-by-step explanation:

Hopes this helps. Also #12 and #15 are repeating. Just FYI.

Answer:

2.8

Step-by-step explanation:

To find the mean add all the values and divide by the amount of values and when you add everything up it is 14 and dividr by 5 to get 2.8

Answer:

I think it is A but the other person might be right

Answer:

Step-by-step explanation:

Answer:

1.61 * 10 ^8

3.3    * 10^-7

Step-by-step explanation:

Multiply the numbers  and then add the exponents

2.3 * 10^1  * 7 * 10^6

2.3 *7     * 10^(1+6)

16.1    * 10^7

We need to make this scientific notation by moving the decimal one place to the left and adding 1 to the exponent

1.61 * 10 ^8

Multiply the numbers  and then add the exponents

1.1* 10^-5    3*10^-2

1.1 *3     * 10^(-5+-2)

3.3    * 10^-7

Answer:

1. B

2. C

Step-by-step explanation:

1. 2.3 × 10¹ × 7 × 10⁶

2.3 × 7 × 10^(1+6)

16.1 × 10⁷

1.61 × 10⁸

2. 1.1 × 10^-5 × 3 × 10^-2

1.1 × 3 × 10^(-5-2)

3.3 × 10^-7

Answer:

7000

Step-by-step explanation:

21,000*(2/3)=14000

21,000-14,000=7000

Answer:

7,000 dollars

Step-by-step explanation:

21,000 divided by 3 is 7,000 = 1/3

So 2/3 = 7,000 x 2 = 14,000

To find how much less Nancy spent on her sedan you do 21,000 - 14,000 = 7,000

Answer:

51.9

Step-by-step explanation:

because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).

The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".

For the given situation,

A rectangular door has a diagonal, d = 60

A rectangular door has a height, h = 30

When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.

The formula of Pythagoras theorem,

[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]

[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]

On substituting the above values,

⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]

⇒ [tex]Base=\sqrt{2700}[/tex]

⇒ [tex]Base=51.9[/tex]

The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]

⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]

⇒ [tex]A=778.5[/tex]

Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.

Learn more about the right-angled triangle here

https://brainly.com/question/24214611

#SPJ2

Answer:

By finding the y- intercept in the graph.

Step-by-step explanation:

This is the only point in the graph that is on the y axis.

Answer:

I believe it is C

Step-by-step explanation:

Hope this helps

and if it at all possible and you mark me brainlyest please

Answer:

5 pts isnt a lot but ok.. and yes it is c

Step-by-step explanation:

Answer:

1. Z =  1.75

2. False Positive

Step-by-step explanation:

1. mean = 1750 calories

standard deviation, sd = 200 calories

value of interest, x = 2,100

z-score is computed as follows:

Z = (x - mean)/sd

Z = (2100 - 1750)/200

Z =  1.75

2. A false positive happens, when a negative case is detected as a positive case

Answer:

44.90

Step-by-step explanation:

1 hour mowing = 1*7.90 = 7.90

5 hours babysitting = 5*7.40 =37.00

The total is 7.90+37 =44.90

Answer:

C. 448 square centimeters

Step-by-step explanation:

38+18/2(16)

=448 square centimeters

:3

Answer:

16

Step-by-step explanation:

y= .5x+3

10=.5x+2

Answer:

6

Step-by-step explanation:

36:    2 2 3 3  

78:    2   3   13

GCF:    2   3  

2x3=6

hope this helps

Answer:

y = 90°

Step-by-step explanation:

y + x = 110° because the sum of two interior angles is equal to an interior angle

x + 70° = y ➡ y - x = 70°

y + x = 110°

y - x = 70° add two equations

2y = 180° (x eliminated -x)

y = 90°

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

Answer:

Cluster sampling

Step-by-step explanation:

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

Joe has 56 possible different outfits.

A combination is a mathematical method in which the number of possible ways in which a set of given items can be chosen, such that the order in which it happens does not matter items.

Joe has 7 different choices for shirts.

Joe has 4 different choices for pants.

Joe has 2 different choices for shoes.

This means that number of combinations in which Joe can choose an outfit can be found by multiplying all the choices.

This can be done as shown below:

Number of choices for shirts * Number of choices for pants * Number of choices for shoes

= 7 * 4 * 2

= 56 combinations.

Therefore, we have found that Joe has 56 possible different outfits. The correct answer is option D.

Learn more about combinations here: https://brainly.com/question/11732255

#SPJ2

Answer:

The answer is 4^2 (-16)

Step-by-step explanation:

Answer:

3.02 miles

Step-by-step explanation:

Answer:

y = -11/2x - 52

Step-by-step explanation:

Now follow the equation for slope: m = change in y / change in x.

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-8-3}{-8--10}[/tex]

[tex]\frac{-11}{2}[/tex]

The slope is -11/2. m=-11/2

Use slope-intercept form:

y=mx+b

Plug in a point and the slope:

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = -11/2x - 52

Answer:

-11/2x-52

Step-by-step explanation:

i know it is correct

Answer:

72% of students chose burritos

Step-by-step explanation:

first you would add up the total of kids that said they liked the other two options, which was pizza and sandwiches: 10+4=14

then you would take that number and subtract it from the total of all students: 50-14=36

and then you would take that number and divide it by 50: 36/50=.72

turn that into a percent and you'd get 72%

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

Answer:

Undefined

Step-by-step explanation:

A slope is found using the formula rise (change in y) over run (change in x). The change in x is 0, and the change in y is -2. The answer is -2/0, but dividing by 0 gives you undefined. Don't believe me? Look at the attached image.

Hope this helps!

Answer:

Undefined

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y+2-y_1}{x_2-x_1}[/tex]

Plug in the numbers/coordinates accordingly:

[tex]m=\frac{6-8}{2-2}[/tex]

[tex]m=\frac{-2}{0}[/tex]

m = undefined

When x = 0, the slope is undefined.

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

Answer:

p > 6

Step-by-step explanation:

Given

[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )

Multiply both sides by 3 to clear the fraction

p > 6

Answer:

honestly idk

Step-by-step explanation:

it may be p (1/3)

hope this is right:000