If the sum of the interior angle lease of a polygon with n sides is 1800 degree,find n.

my brain can't process this lol

Answer: A.) 0.9

Step-by-step explanation: hope this helps xlXCherryColaXlx. have a great day :3...(pls mark me brainliest)

Answer:

its ur fault that you did it late

Step-by-step explanation:

but the answer is  2 1/9

To calculate how long is the rope for each student, we have to divide the total length (7 in) by the number of students (4):

Answer: 1 3/4 in of rope for each student.

Answer:

lower bound = 90 - 10 = 80 cm

upper bound = 90 + 10 = 100 cm

lower bound d = 1500 x 80 cm = 120,000 cm

upper bound d = 1500 x 100 cm = 150,000 cm

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimetres

Correction in each step = 10 cm nearset

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimetres

Upper bound step length = 90 + 10

Upper bound step length = 100 centimetres

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimetres

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimetres

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Answer:

P(A n B) = 0

Step-by-step explanation:

Given

\(A \to\) Traces of TNT detected

\(B \to\) No traces of TNT

Required

Probability of false positive

From the question, we understand that A and B must occur to get a positive and the result is 0.

The probability of A and B is represented as: P(A n B)

Include the result (0), we get:

P(A n B) = 0

The confidence level for the true average strain is (24.69,27.31) and the prediction level is (20.01,31.99) and also it is estimated that prediction level is much wider than the confidence level

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

a)

We must calculate the true average strain in a way that conveys precision and reliability.

We have to use t-test in our problem because sample size is less than 30.

We Know that,

True average value is determined by formula,

\(\mu\pm t*\frac{S}{\sqrt{n}}\)

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

t-value at 95% confidence interval=1.7281

\(26\pm 1.728*\frac{3.4}{\sqrt{20}}\\\\=26\pm1.728*0.7606\\\\=26\pm1.31\\\\=24.69,\ 27.31\)

b)

predicted value can be calculated by formula,

\(\mu \pm t*S\sqrt{1+\frac{1}{n}}\\\\=26\pm 1.728*3.4\sqrt{1+\frac{1}{20}}\\\\=26\pm 1.728*3.4*1.02\\\\=26\pm5.99\\\\=20.01,\ 31.99\)

As a result, we conclude that the prediction interval is greater than the confidence interval.

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Answer:

Step-by-step explanation:

1. 20

2. 150

3. 56

4. 60

hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe

The translation applied is:

(x, y) → (x - 1, y - 5)

It is a translation of 1 unit to the left and 5 units down.

To find the translation from MNOP to M'N'O'P' we just need to take the difference between any two correspondent vertices.

For example, we can see that:

M = (-1, 3)

M' = (-2, -2)

Taking the difference we will geT:

(-2, -2) - (-1, 3) = (-2 + 1, -2 - 3) = (-1, -5)

Sothat the translation is:

(x, y) → (x - 1, y - 5)

The translation one unit to the left and 5 units down.

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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The number of people that will not be allowed to enter the concert would be = 1,794 people

Subtraction is the removal of a value from a given data and it is one of the major arithmetic operations used on mathematics.

The number of people waiting in the line = 5^5 = 3125

The number of people that the auditorium can hold = 11^3 = 1331

The number of people that will not be allowed inside the auditorium can be gotten through the following:

= 3125 - 1331

= 1,794

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Answer:

24

Step-by-step explanation:

1/2 bh

16x3/2=24

Answer:

$54.00

Step-by-step explanation:

30% can be written at 0.30

0.30 x $180 = $54.00

Answer:

3/8

Step-by-step explanation:

The miles he drove the truck is, 246.

As per the given data Boris rented a truck for one day with a base of 14.99, and there was an additional charge of 77 cents for each mile driven. Boris had to pay 204.41 when he returned the truck here, we have to determine how many miles Boris drive the truck. consider that number of miles he drove be x.

let the number of miles he drove be x.

per mile the cost is $0.77

Base fee is 14.99.

0.77x + 14.99= 204.41

0.77x = 204.41-14.99

0.77x = 189.42

x = \(\frac{189.42}{ 0.77}\)

x= \(\frac{190}{0.77}\)

=246 miles he drove in one day.

Therefore, the miles he drove the truck is, 246.

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The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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The value of the function (f-g)(x)=\(x-4x^{2} -x^{3} -3\).

What is a function?

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

f(x)= x¹ - x² +9

g(x) = x³ + 3x² + 12

To find (f-g)(x):

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

(f-g) (x)= f(x)-g(x)

          = (x¹ - x² +9)-(x³ + 3x² + 12)

The minus will change the signs of function g.

          = \(x-x^{2} +9-x^{3}-3x^{2} -12\)

          =\(x-4x^{2} -x^{3} -3\)

Hence, the value of the function (f-g)(x)=\(x-4x^{2} -x^{3} -3\)

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Variables

• L: length of the rectangular garden, in ft

• W: width of the rectangular garden, in ft

The perimeter of a rectangle is computed as follows:

The perimeter of the rectangular garden is 72 ft, then:

The width is 8 ft more than twice the length, then:

Equations 1 and 2 compose the system of equations.

Answer:

44 butterfly stamps

Step-by-step explanation:

1/8=2/16

2/16+3/16=5/16

16/16-5/16=11/16

64÷16=4

4×11=44

44/64

Answer:

1 cubic cent

Step-by-step explanation:

Cause the volume of a cube is V^3. So, 1x1x1 = 1

Answer:

The answer is 1 cubic centimeter.

Step-by-step explanation:

Answer:

Kindly check attached picture

Step-by-step explanation:

Data:

Prior experience :

5

12

0

2

5

9

6

11

12

0

5

9

1

0

5

3

12

3

11

10

8

1

0

6

7

0

8

13

7

0

Annual salary:

37500

50912

29356

27750

97844

48442

40207

42331

87489

26118

40025

88763

35829

17784

54199

36932

93279

22100

49987

85471

52220

36109

23105

39455

49861

30327

31008

90874

57966

16500

Using the data above, the scatter plot obyaoon using statistical software is attached below, from the line of best fit, the regression equation which models the relationship between the two variables is ŷ = 4003.257X + 25172.868.

The trend of the best fit line shows a positive correlation between prior experience and annual salary. The correlation Coefficient value which shows the strength of the association gives a value of 0.7225 ; hence, depicting a strong positive correlation.

Answer:

90720ways

Step-by-step explanation:

Permutation has to do with arrangement

First we need to find the number of ways 6 people can be arranged in a row from a group of 10people using the formula

(10-1)P(6-1) = 9P5

9P5= 9!/(9-5)!

9P5 = 9×8×7×6×5×4!/4!

9P5 = 9×8×7×6×5

9P5 = 15,120

Since there is restriction that the bride must be in the picture (the bride is just a person and cam be placed at any point along the row). Hence the number of different ways the bride can be placed is 6 different ways

Hence, the number of ways a photographer at a wedding arrange 6 people in a row from a group of 10 people if the bride must be in the picture is 6×15120 = 90,720

Hence the correct answer is 90720 ways

Answer: C

Step-by-step explanation:

\(4^{-11/3 -(-2/3)=4^{-11/3 + 2/3}=4^{-3}=1/64\)

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer:

interest is compounded monthly

Step-by-step explanation:

there is a slight mistake in the question, the future value after 25 years is $17,208.63, not $7,208.63

the future value = present value x (1 + i/a)ⁿᵃ

future value = $17,208.63

present value = $6,033

i/a = 4.2%/a

n x a = 25a

(1 + 0.042/a)²⁵ᵃ = $17,208.63 / $6,033 = 2.852416708

²⁵√(1 + 0.042/a)²⁵ᵃ = ²⁵√2.852416708

(1 + 0.042/a)ᵃ = 1.042818

4.2818% would be the effective interest on the loan, so we can try different options for a. Since the effective interest is higher, I will try first with monthly compounding:

a = 12 (compounded monthly)

(1 + 0.042/12)¹² = (1 + 0.0035)¹² = 1.042818 ✓

Step-by-step explanation:

In Q II   cos is negative

    sin^2 + cos^2 =1    <=====trig identity

       cos^2 = 1-sin^2

          cos^2 = 1 - (4/5)^2 = 9/25

              cos = +-3/5      But in Q II we want the negative one

                   so    cos = -3/5     sec = 1/cos =  - 5/3