What is the sum of the interior angles of a 35-gon?
What is the number of sides of a polygon that has the sum of the interior angles equal to 2340°?

Answer:

Step-by-step explanation:

A

(2x - 5)(x + 1)

B)

The x intrcepts occur when the factors equal zero.

2x - 5 = 0

2x = 5

x = 5/2

x = 2 1/2

C

I will give the the minimum from completing the square

y = 2(x - 0.75)^2 - 6.125

as x approaches + infinity, y approaches + infinity.

as x approaches - infinity, y approaches + infinity.

It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.

D

Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.

Answer:

a = 12.93

Step-by-step explanation:

Convert to decimal: 12 1/3 = 12.3

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

a = 12.93 (rounded to two decimal places)

The solution is :

the missing length of the triangle is a = 12.93.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

Convert to decimal: 12 1/3 = 12.3

so, we have,

Pythagoras (a^2 = b^2 + c^2):

4^2 = 16

12.3^2 = 151.29

16+151.29 = 167.29

a = √167.29

we get,

a = 12.93 (rounded to two decimal places)

Hence, the missing length of the triangle is a = 12.93.

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a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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Answer:

(E) - About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval that captures the population mean happiness rating.

Step-by-step explanation:

The correct answer is (E). When we select a random sample from a population and use it to construct a confidence interval, the confidence level tells us what proportion of all such random samples we can expect to give confidence intervals that will capture the population parameter.

Answer:

125 square units

Step-by-step explanation:

YYWW :)

Answer: In the expression (3)(0.2)³(0.8)5, the value that represents the number of successes is 0.8.

This value is associated with the probability of success in the given expression, usually represented as "p" in a binomial distribution.

0.8 is probability of success

(0.8)5 represents number of successes.

It is important to note that 0.8 is a probability of success which means the probability of getting a success outcome in a single trial, and (0.8)5 is the probability of getting five successful outcomes in five trials.

Step-by-step explanation:

Answer:

[tex]4.5x - 4 = 14 \\ 4.5x = 14 + 4 \\ 4.5x = 18 \\ x = \frac{18}{4.5} \\ x = 4[/tex]

Answer: x=4

Step-by-step explanation:  4.5x-4=14

4.5x−4+4=14+4

4.5x/4.5=18/4.5

x=4

Answer:

If I'm not wrong, angle O should be 62°!

Step-by-step explanation:

since triangle MON and triangle DAY are equal, if we add 75° and 43° it would be 118°. We then subtract 118° from 180° and it should be 62°. :)

Answer:

43

Step-by-step explanation:

measure angle M = measure angle D = 75

measure angle O = measure angle A = 43

measure angle N = measure angle Y = 180 - (43 + 75) = 62

and each angle of MON corresponds to that of DAY

Answer:

y = x + 1/3

Step-by-step explanation:

We know

You drank x ounces of juice and someone drank 1/3 more than what you think

Let's y represent the total, we have the equation

y = x + 1/3

Answer: 4/3x (or 1/3 + x, since your wording's pretty odd)

Step-by-step explanation:

i can't tell if the one-third you're referring to is a third of how many ounces of juice you drank (meaning it will change if you drank 1, 2, 3 oz of juice and so on) or if it's always going to be a third of an ounce more than the amount of oz of juice you drank (in which case it'd be 1/3 + x). anyway just choose whichever answer you're looking for :3

Answer:

Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.

The correct option regarding the surface area of the solid is given as follows:

d. 45 square inches.

The surface area of a solid is composed by the sum of the areas of all the pars of the figure.

The composition of the figure in this problem is given as follows:

Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:

At = 4 x 1/2 x 3 x 6

At = 36 square inches.

The area of a square is given by the square of the side length, hence:

As = 3³

As = 9 square inches.

Thus the surface area of the solid in this problem is given as follows:

S = At + As

S = 36 + 9

S = 45 square inches.

Meaning that option d is correct.

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Answer:

112

Step-by-step explanation:

8 players time 14 teams = 112

8*14=112

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer: 7.083

Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)

Answer:

The answer is 3 and 7.

Step-by-step explanation:

Answer:

p = 48

Step-by-step explanation:

If p is inversely proportional to the square of q

This is written Mathematically as:

p ∝ 1/q²

p = k × 1/q²

p = k/q²

Cross Multiply

k = pq²

k = Constant of Proportionality

Step 1

We find k

When p is 3 when q was 12

k = pq²

k = 3 × 12²

k = 432

Step 3

determine p when q is equal to 3

p = k/q²

p = 432/3²

p = 48

The two angles that have the sum of angles as 90° are called as Complementary Angles .

What are Complementary Angles ?

The two angles are said to be complimentary Angles when the sum of two angles is 90° .

In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles.  We can also say that  the two angles complement each other.

For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .

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Answer:

6) 2nd option

7) 1st option

8) [tex]\sqrt{576} = 24[/tex] in

Answer:

Q6. A = s²

Q7. s = √A

Q8. 24 inches

Step-by-step explanation:

Q8.

√576 = 24in.

Answer:

(20,0) , (0,16) , (5,12) , (10,8) , (15,4)

Step-by-step explanation:

Total amount of tickets sold = 80

Per ticket price for students = 4 ; Per ticket price for non students = 5

Let no. of students be s , no. of non students be x

Equation : 4s + 5x = 80

So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20

Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16

Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)

The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18

From the question, we have the following parameters that can be used in our computation:

Expression: z − 2xy

Values: x = 3, y = -4 and z = -6

Substitute the known values in the above equation, so, we have the following representation

z − 2xy = -6 - 2 * 3 * -4

Evaluate the products

This gives

z − 2xy = -6 + 24

Evaluate the like terms in the equation

So, we have the following representation

z − 2xy = 18

Using the above as a guide, we have the following:

The solution is 18

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Answer: 27

Step-by-step explanation:

It is impossible to solve a 3-sided triangle because triangles require 3 sides and 3 angles in order to be solved.

A triangle is a three-sided polygon, and the sum of its angles is always 180 degrees. In order to solve a triangle, you must know the length of all three sides and the measure of all three angles. If you know two sides and the angle between them (the angle opposite to one of the sides), you can use the Law of Sines to determine the other angle. If you know two angles and a side, you can use the Law of Cosines to determine the other two sides. With all three sides and angles known, you can use the Pythagorean Theorem to check your work. However, if you only have three sides, it is impossible to solve the triangle because you do not have enough information.

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The required dimensions are solved using linear pair and vertical angle to get the result as

The value of x and y is calculated using linear pair theorem, the theorem implies that

solving for x

(3x + 5) + (x + 15) = 180

3x + x + 5 + 15 = 180

collecting like terms

4x = 180 - 15 - 5

4x = 160

x = 40

solving for y

(y + 20) + (4y - 15) = 180

y + 4y + 20 - 15 = 180

collecting like terms

5y = 180 - 20 + 15

5y = 175

y = 35

Angle AED

= 3x + 5

= 3 * 40 + 5

= 125 degrees

Angle AED = angle CEB = 125 degrees (vertical angles)

Angle DEB

= x + 15

= 40 + 15

= 55 degrees

Angle DEB = Angle AEC = 55 degrees (vertical angles)

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Answer:

I think it would be 10 inches but I am not sure

Answer:

2.01 x 15 = 30.15

Step-by-step explanation:

2.01 x 15 = 30.15

or

201 * .15 = 30.15

Answer:

201 changes to 2.01 or 15 changes to 0.15

2.01 · 15 = 30.15

201 · 0.15 = 30.15

Step-by-step explanation:

Since 201 · 15 = 3015, and we want 30.15

We move the decimal two place to the left.

Since we did this on one side of the equation, we must do it on the other as well.

201 becomes 2.01. You could also change 15

15 becomes 0.15

Answer:

x =  1

Step-by-step explanation:

Answer:

hope this helps you out good luck

There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).

The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.

The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.

Steps to solve the inequality:

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Answer:

b. 132°

Step-by-step explanation: