Each exterior angle in a regular polygon has a measure

of 18°. How many sides does the polygon have? What is the

sum of the interior angles?

0 .2 x + 1.2 = 0 .5 x​

collecting like terms, we have :

0. 5 x - 0 . 2 x = 1 . 2

0. 3 x = 1. 2

Divide both sides , we have:

x = 1 . 2 / 0. 3

x = 4

Answer:

8 mins 20000feet

Step-by-step explanation:

let mins be x

45600-3200x = 2500x

so 45600= 5700

x=8

2500*8 = 20000

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

Answer:

\(10(3x+7)\)

Step-by-step explanation:

we have the expression:

\(30x + 70\)

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

\(10*3=30\\10*7=70\)

so we can substitute this into the expression:

\(10*3x+10*7\)

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

\(10(3x+7)\)

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

Answer:

178  1/2  inches cube

Step-by-step explanation:

Volume = length * width * height

           = 8 1/2  * 5 1/4  *  4

           =  17/2  * 21/4    * 4

            = 1428 / 8

             =357/2

          = 178  1/2  inches cube.

To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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Answer:

y = -x +2

Step-by-step explanation:

its falling from left to right  which means its negative.

Answer:

the answer would be B) no solution

Step-by-step explanation:

The two equations are parrael and that makes it have no solution.

Hope this helps. just let me know if you have any questions about my answer.

Answer:

78 dollars and 3 cents

Step-by-step explanation: use a calculator

Answer:

15.93

Step-by-step explanation:

each banana costs 0.59 so you multiply 27 times 0.59 = 15.93

22 is an outlier in the given data since the difference between this value and other values in the data set is the largest.

Visually, we can see that 22 is an outlier in the given data since the difference between this value and other values in the data set is the largest

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Answer:

D 22

Step-by-step explanation:

Answer:

Δ······∵······∴······Hello Friend······∴······∵·······Δ

Your answer should be:

362.495 Kilometers

Step-by-step explanation:

I hope this helped. Please tell me if it didn't.

(If it didn't I'm sorry :( )  

(Brainliest would be highly appreciated)

Answer:

Step-by-step explanation:

a)

i)

Time taken at the first part:

ii)

Time taken at the second part:

b)

If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:

c)

Solve the equation:

d)

Answer:

see below

Step-by-step explanation:

Let t = time (in hours)

a) i)  First 105 km of journey

\(\mathsf{speed=\dfrac{distance}{time}}\)

\(\implies x=\dfrac{105}{t_1}\)

\(\implies t_1=\dfrac{105}{x}\)

ii) Rest of journey

distance = 190 - 105 = 85 km

speed = \(x+12\) km/h

\(\mathsf{speed=\dfrac{distance}{time}}\)

\(\implies x+12=\dfrac{85}{t_2}\)

\(\implies t_2=\dfrac{85}{x+12}\)

b)  3 hours 15 minutes = 3.25 hours

\(\implies\)  total time = \(t_1+t_2=3.25\)

\(\implies \dfrac{105}{x}+\dfrac{85}{x+12} =3.25\)

\(\implies \dfrac{105(x+12)+85x}{x(x+12)} =3.25\)

\(\implies 105(x+12)+85x =3.25x(x+12)\)

\(\implies 105x+1260+85x =3.25x^2 +39x\)

\(\implies 3.25x^2-151x-1260=0\)

multiply by 4:

\(\implies 13x^2-604x-5040=0\)

c)

\(\textsf{quadratic formula} \ x=\dfrac{-b \pm\sqrt{b^2-4ac} }{2a}}\)

\(\implies x=\dfrac{604 \pm\sqrt{(-604)^2-4(13)(-5040)} }{2(13)}}\)

\(\implies x=\dfrac{604 \pm\sqrt{626896} }{26}}\)

\(\implies x = 53.68, x=-7.22\)

(to 2 decimal places)

d) time ≥ 0, therefore, x = 53.68 only

Substitute x = 53.68 into the expression for \(t_1\) and solve for \(x\):

\(\implies t_1=\dfrac{105}{53.68}=1.955912... \textsf{hours}=\textsf{1 hr 57 min}\)

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

Chemical engineering in the distilled spirits industry involves applying principles of chemistry and engineering to the production of alcoholic beverages.

Chemical engineers play a crucial role in the distilled spirits industry by designing and optimizing the processes involved in producing alcoholic beverages. They work on various aspects such as fermentation, distillation, and blending. In the fermentation stage, they ensure the conversion of sugars into alcohol by carefully selecting and controlling yeast strains and monitoring temperature and pH levels.

During distillation, chemical engineers optimize the separation of alcohol from impurities to achieve the desired flavor and alcohol content. They also work on blending different spirits to create unique flavors. Chemical engineers collaborate with microbiologists, quality control specialists, and production teams to ensure the highest quality and consistency of the final product. Their expertise in chemistry, thermodynamics, and process control enables them to develop efficient and sustainable processes in the distilled spirits industry.

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Answer:

(-5,3)

Step-by-step explanation:

It forms a straigth line, forming a 90 degree angle with the x-axis.

Answer:

(-5,3)

Step-by-step explanation:

Answer:

The radius is always half of the diameter.

Step-by-step explanation:

Well, the radius is always half of the diameter.  For example, if the diameter is 8, the radius will be 4, since 4 is one-half of 8. Hope this is helpful!!!

The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. The probability that her trip will take longer than 80 minutes is 20 minutes.

To determine the probability that the student's trip will take longer than 80 minutes, we need to calculate the area under the probability density function (PDF) curve for the given uniform distribution.

Hence, the probability that the trip will take longer than 80 minutes, we need to calculate the proportion of the total range that lies beyond 80 minutes.

The total range is 90 - 40 = 50 minutes.

The portion of the range beyond 80 minutes is 90 - 80 = 10 minutes.

Therefore, the probability that the trip will take longer than 80 minutes is:

P(trip longer than 80 minutes) = (portion beyond 80 minutes) / (total range)

P(trip longer than 80 minutes) = 10 / 50 = 0.2 or 20%

So, the correct answer is 20.

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Answer:

y = 1/2x -1

The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.

The y intercept is -1

Answer:

The value of function at n = 7 is 78.

Step-by-step explanation:

Given function is:

c(n) = 50 + 4n

Here,

c represents the cost monthly cost of gym

n represents the number of visits to the gym

We have to find the value of c(7).

We will put n = 7 in the function.

Thus,

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

Hence,

The value of function at n = 7 is 78.

The value of c(7) in the function c(n) = 50 + 4n is = 78

The function is defined as follows:

c(n) = 50 + 4n

where

function c is defined by the equation above

n is the number of visit

The function gives the monthly cost in dollars.

Therefore,

The value of c(7) can be found as follows:

c(7) = 50 + 4n

c(7) = 50 + 4(7)

c(7) = 50 + 28

c(7) = 78

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

46

Step-by-step explanation:

first you need to write out your question

then you need to multiply the following numbers (5.75*8)

and that gives you 46.

I hope this is the answer I just get every thing right and I think it is. hofuly it's helping!!

The sum of the interior angle measures of the given polygon will be equal to  360°.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines.

Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

Use the formula of the sum of an interior angle of the polygon,

180(n - 2)     (i)

Here, n is the number of sides.

As per the given figure, n = 4

Put n = 4 in equation (i)

180 (4 - 2)

180 (2)

= 360°

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The height of the tower is 969 feet.

Let CD be the tower and A be the point from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 degrees.

In triangle AED

tan42° = ED/AE

tan42° = h₁/615

h₁ = tan42° × 615

= 553.74

Rounding to the nearest integer

h₁ = 554

In triangle AEC

tan34° = EC/AE

tan34° = h₂/615

h₂ = tan34° × 615

= 414.82

Rounding to the nearest integer

h₂ = 415

Height of tower = EC + ED

= h₁ + h₂

= 554 + 415

= 969

Therefore, the height of the tower is 969 feet.

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Utilization is the percentage of actual output from a system in comparison to its design capacity. Given the following information, what would utilization be? Effective capacity = 20 units per day Design capacity = 60 units per day Actual output = 15 units per day.

The correct option is- C. 25%.

The utilization would be \(\frac{15}{60}\) = 0.25 or 25%.Therefore, the correct option is C. 25%. It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification.

Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.

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Answer:

\(m = 29\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

\(\frac{m + 3}{4} = 8\)

Step 2: Solve for m

Answer:

B.

Step-by-step explanation:

I hope u get it correct, if not, remind me what the real answer was

Answer:

B

Step-by-step explanation:

its easy because u add all of those together then divide.