find the number of bounded and unbounded regions that 4 lines in general position divide a plane into. then find the number of regions for 5 through 10 lines. organize the information in a chart. (ALL THE BLANK SPOTS IN THE ATTACHMENT ARE WHAT I AM CONFUSED ON) please help I have till friday to finish!

Step-by-step explanation:

Area of circle = πr², π = 22/7 or 355/133. Here it is said to use '3.14'. I will use the same.

Volume = cross-section area * height

Cross-section area of bigger one = π(3m)²

Volume = π(3m)² * height

= 9π * 5 m³ = 45π m³

Cross-section area of smaller one= π(1m)²

Volume = π(1m)² * height

= π * 5 m³ = 5π m³

Since a large part(cylinder of 1 m is not here):

Required volume = total volume - volume of smaller circle(cylinder)

= 45π - 5π m³

= 40π m³ = 40(3.14) m³

= 125.6 m³

Answer:

supplementary

Step-by-step explanation:

we have,

2x+96=180

=> 2x = 180- 96

=> 2x = 82

now,

82 + 96 = 180

so they are supplementary angles

Answer:

107.25 metres.

Step-by-step explanation:

diameter of circle = 150m,

so,

radius = 75 m

perimeter of semi circle

= pi × r

= 3.14 × 75

= 235.5 m

perimeter of rectangle

= 2 × (l+b)

= 2 × (150 + 75)

= 450 m

perimeter of shaded region

= perimeter of rectangle - perimeter of semi circle/2

= 450 - 235.5/2

=107.25 metres

Answer:

Point D is the point of dilation.

Step-by-step explanation:

If the smaller triangle A'B'C' is dilated to form a larger triangle ABC by the dilation about point D,

Ratio of the DA and DA' will be equal to the ratio of DB and DB'.

Length of DA = 3 units

Length of DA' = 1 unit

Coordinates of D → (3, 0)

Coordinates of B → (9, 3)

Coordinates of B' → (5, 1)

Use the formula of distance between the two points to find find the length of DB and DB'

Length of DB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(3-0)^2+(9-3)^2}[/tex]

                                                                 [tex]=\sqrt{45}[/tex]

                                                                 [tex]=3\sqrt{5}[/tex]

Length of DB' = [tex]\sqrt{(5-3)^2+(1-0)^2}[/tex]

                       [tex]=\sqrt{5}[/tex]

Ratio of DB and DB' = [tex]\frac{3\sqrt{5} }{\sqrt{5} } =3:1[/tex]

Ratio of DA and DA' = 3 : 1

Since, [tex]\frac{DA}{DA'}=\frac{DB}{DB'}[/tex]

Therefore, smaller triangle is dilated by a scale factor of 3 to form the bigger triangle about the point D.

Answer:

It is 22.524

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

x\cdot \:6-\frac{4x}{3}\cdot \:6-\frac{x}{6}\cdot \:6=0\cdot \:6

6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

Answer:

Absolute value;

The non-negative value of x(in your case -19) without regard to its sign.

Basically how far in distance x(in your case -19) is away from 0.

|–19| = 19

Answer:

19

Step-by-step explanation:

Given the following question:

When dealing with absolute value we need to understand that all negatives in between "|  |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.

In this case...
[tex]|-19 |[/tex]
[tex]|-19 |=19[/tex]
[tex]=19[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

(x+12/2,y-9/2)=(5,7)

x+12=10,y-9=14

x=-2,y=23

The coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]

It is given that:

The midpoint of a GH is M(5, 7). One endpoint is H(12, -9).

The coordinates of endpoint G (x, y)

Using mid-point theorem:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

(x + 12)/2 = 5

x + 12 = 10

x = 10 - 12

x = -2

(y -9)/2 = 7

y - 9  = 14

y = 14 + 9

y = 23

Thus, the coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

Learn more about the order double here:

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Answer:

-3

Step-by-step explanation:

-|-5+2|

-|-3|

=-3

..................

Answer:

There isn't enough information to answer the question

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

Answer:

there is a lot of different rotations

Step-by-step explanation:

and multiple of 360 and could go infinitely while 90, 180, 270 degrees will not work.

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

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Answer:

The ratio of cups of mixed nuts to cups of granola is /First, we need to get the total number of granola cups. This can be done by adding all the components' cups as follows:

number of granola cups = 6 + 2 + 0.5 + 1 + 1 + 0.5

number of granola cups = 11 cups

Now, we are given that:

number of cups of mixed nuts is 2 cups

To get the ratio between the cups of mixed nuts and total granola cups, we will simply divide the two quantities as follows:

Hope this helps :)

Step-by-step explanation:

Granola is a munchable snack that is prepared using various kinds of nuts, seeds, and sometimes a binding agent such as honey is used in the preparation of granola.

In the question above, we are giving the ingredients and quantities which is used in the preparation of granola

6 cups rolled oats, 2 cups mixed nuts, 1 /2 cup sesame seed, 1 cup dried cranberries, 1 cup dried unsweetened coconut, 1 /2 cup honey.

Step 1

We would be adding up the ingredients to find the total number of cups

6 + 2 +  + 1 + 1 +  = 11 cups

The total number of cups = 11 cups

Step 2

The cups of mixed nuts given in the question = 2 cups

The total number of cups of granola is given = 11 cups

Therefore, the ratio of cups of mixed nuts to cups of granola is 2 : 11

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Answer:

Volume = 343 cm³

Step-by-step explanation:

Given :-

To Find :-

Solving :-

Answer:

6 cm

Step-by-step explanation:

Scale factor = 4/8 = 1/2

A* 1/2 = 3

A = 2*3

A = 6 cm

Answer:

your answer should be ty

Step-by-step explanation:

Answer:

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°

Answer: 44

Step-by-step explanation: I'm assuming P is on the left most side and R is on the right most side. The two segments of the line adds up to the entire line so it would be PQ(20)+QR(22)=PR(44)

Answer:

the first friend

Step-by-step explanation:

your percentage is 8/15 = 53.3%

your first friend's percentage is 7/10 = 70%

your second friend percentage is 6/12 = 50%

Answer:

are you just listing defnitions or what

Step-by-step explanation:

Answer:

DF=2.68

EF=2.01

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

2 1/8 - 1 3/4

2 1/8 - 1 6/8

17/8 - 14/8

3/8

Answer:

C

Step-by-step explanation:

Answer:

15000 pay on the ship for me

Answer:

A)

Step-by-step explanation:

A systems of equations that are 2 completely separate lines will have 1 solution.

A systems of equations that are the same line will have infinite amount of solutions.

A systems of equation that have parallel lines will have no solution.

We see that B, C, and D are all 2 completely separate lines with their own slope and y-intercept. Therefore, they will have 1 solution.

A is our answer because we see that they have the same slope but different y-intercepts. This means that they are parallel lines and will never intersect each other, thus providing us with no solution.

Answer:

2.00085 * 10^8

Step-by-step explanation:

4^2 + 7^2 = c^2
16 + 49 = c^2

C^2 = 65

65 square root

C = 8.06 or rounded is 8.1

Answer:

the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

Amanda babysitted for 3 hours

Step-by-step explanation:

From the question, we know that:

Amanda charges $20 fee for babysitting plus an additional $5 per hour.

Let the number of hours she babysits be represented by x

This is represented by the equation:

$20 + $5× x

= 20 + 5x

We are also told:

The Wilson family paid the babysitter a total of $35 for a night of babysitting.

Hence the equation that can be used to determine how many hours Amanda babysitted for the family =

20 + 5x = 35

5x = 35 - 20

5x = 15

x = 15/5

x = 3 hours

Therefore, Amanda babysitted for 2 hours