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Answer:

An irregular polygon is any polygon that is not a regular polygon. It can have sides of any length and each interior angle can be any measure. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same.

Step-by-step explanation:

Answer:

21 x 33 = 693

16 x 7 divided by 2 = 216

17.6 x 17.6 divided by 2 = 154.9

19 x 7.8 = 148.2

7 + 2 x 5.5 divided by 2 = 24.8

10 x 12 = 120

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x

4

+

50

x

2

+

625Rewrite  

625

as  

25

2

.

u

2

+

50

u

+

25

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

⋅

u

⋅

25

Simplify.

2

a

b

=

50

u

Factor using the perfect square trinomial rule  

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where  

a

=

u

and  

b

=

25

.

(

u

+

25

)

2

Replace all occurrences of  

u

with  

x

2

.

(

x

2

+

25

)

2

Answer:

12

Step-by-step explanation:

There are 2 ways to choose the last digit (3 or 5), because the number has to be odd.

We're left with 3 digits that we need to arange anyhow. First digit we can choose any of the 3, then any of the 2 left. At the end, there's only one digit to choose.

Answer is 2 * 3 * 2 = 12

Answer:

Using the equation y = abx , substitute both of your given points into that equation.

 2 = ab2 and 4 = ab3   Solve each equation for a.

 2⁄b2    and 4⁄b3 = a    

Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2    

Divide both sides by b2

 2b = 4      

a = 2/4 = 1/2

b = 2

 y = 1 (2)x

2

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9514 1404 393

Answer:

  y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

  y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

  y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

  y = 4·(4^x)(4^-2) = (4^-1)(4^x)

  y = (1/4)(4^x)

Answer:

XZ > XY > YZ

Step-by-step explanation:

1. Approach

To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.

2. Find the value of (x)

The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,

m<X + m<Y + m<Z = 180

Substitute,

(50) + (5x + 10) + (5x) = 180

Simplify,

10x + 60 = 180

Inverse operations,

10x + 60 = 180

       -60     -60

10x = 120

/10    /10

x = 12

3. Find the measure of each angle

Now substitute the value of (x) into the expressions given to represent the value of each angle.

m<X = 50

m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70

m<Z = 5x = 5(12) = 60

4. Now apply this to find the comparative lengths of the sides

One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.

m<Y = 70

m<Z = 60

m< X = 50

m<Y > m<Z > m<X

Side XZ is opposite m<Y

Side XY is opposite m<Z

Side YZ is opposite m<X

This means,

XZ > XY > YZ

Answer:

Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad

Answer:

18c-30d+36

Step-by-step explanation:

6(3c-5d+6)

= 6(3c)-6(5d)+6(6)

= 18c-30d+36

Answer:

Variance: 322.4479999999996

Standard Deviation: 17.956837137981722

Answer:

.75% .0075 of the people that went to the concert said they would go if they could not see the band again. To find this you simply divide 9 by 1200, which equals .0075

Step-by-step explanation:

Answer:

% 236 did not go

% Decimal 2.36

Step-by-step explanation:

% 450 - 214

Answer:

2031

Step-by-step explanation:

3000divide100=30x5=150x14=2100

2017+14=2031 w

In 2031 years, the first year with less than 1000 polar bears in the region.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The number of polar bears in a region is decreasing by 5% per year.

And, There are 3000 polar bears in the region in 2017.

Let after x years there are less than 1000 polar bears in the region.

Hence, We can formulate;

⇒ 3000 - 5% of 3000 × x < 1000

⇒ 3000 - 5/100 × 3000 × x < 1000

⇒ 3000 - 150x < 1000

⇒ 3000 - 1000 < 150x

⇒ 2000 < 150x

⇒ 2000/150 < x

⇒ 13.33 < x

So, The first  year with less than 1000 polar bears in the region is getting after 14 years.

So, The value of years = 2017 + 14

                                   = 2031

Learn more about the mathematical expression visit:

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Answer:

x=9

Step by step explanation:

Add 2 to both sides, simplify, subtract 5x from both sides

Answer:

x = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

7x - 2 = 5x + 16

Step 2: Solve for x

Answer:

3h/8+3/2

Step-by-step explanation:

Answer:

D. should be the correct answer.

Answer:

x=7

Step-by-step explanation:

4x-12=16

4x=28

x=7

Answer:

0.0416

Step-by-step explanation:

Given :

Sample size, n = 300

Sample mean, x = 35.5

Population mean, m = 35

Standard deviation, s = 5

The test statistic :

Zstatistic = (x - m) / s/sqrt(n)

Zstatistic = (35.5 - 35) / 5/sqrt(300)

Zstatistic = 0.5 / 0.2886751

Zstatistic = 1.732

Using the p value calculator from Zstatistic :

One tailed P value at 95% confidence interval is : 0.0416

Answer:

B

Step-by-step explanation:

The range of the function is - ∞ < y < 2

The range of the function are the set of output values of the function.

From the given graph, the values of the graph increases from negative infinity and ends at 2

So, the range of the function is - ∞ < y < 2

Read more about range at:

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Step-by-step explanation:

answer is C

the process is shown in picture

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

x = midpoint of -5 and 11

y = absolute value of x

Required

Determine the value of y

First, calculate x.

[tex]x = \frac{1}{2}(-5 + 11)[/tex]

[tex]x = \frac{1}{2}(6)[/tex]

[tex]x = 3[/tex]

y can then be represented as:

[tex]|y| = x[/tex]

[tex]|y| = 3[/tex]

Split:

[tex]y = 3[/tex] or [tex]-y = 3[/tex]

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Answer:

5 points

Step-by-step explanation:

First, find how many points per game she scored over the first 12 games:

24/12

= 2 points per game

Now, find how many she scored in the last 16 games:

112/16

= 7 points per game

Find the difference:

7 - 2

= 5

So, she scored 5 more points per game in the last 16 games

Answer:

first 12 games- 24/12= 2ppg

Last 16 games- 112/16= 7ppg

7-2= 5 points per game more

Answer: the answer is c

Step-by-step explanation:

Answer:

0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

x = 0.43333......

Multiply the equation by 10 on both sides, then we have

10x = 10 × 0.43333......

10x = 4.33333......                        ...1

Multiply the equation by 100 on both sides, then we have

100x = 100 × 0.43333......

100x = 43.33333......                     ...2

Subtract equation 1 from equation 2, then we have

100x - 10x = 43.3333.... - 4.3333.....

90x = 39

x = 39 / 90

x = 13 / 30

The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.

More about the Algebra link is given below.

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Answer:

15

Step-by-step explanation:

Answer:

2/5×$35 = 2/1×$7 = 2×7 = $14

Answer:

Step-by-step explanation:

From the given information, it is evident that there is no assurance that the value of the mutual funds will give, and perhaps by looking at the trend, there is a net expected value of (10% - 22% + 12%) = 0% which literally doesn't differ from the what is given by the bank is a guaranteed one. From the perspective of decision theory, the best option is to use a bank because we would likely need to go for a guaranteed interest as opposed to going for an unexpected share.

Answer:

choice 2) 1/5 x 3/15 = 3/75 = 1/25

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can use test intervals and critical numbers to solve quadratic and rational inequalities.

Answer:

[tex]\$1320[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the number of units of A

[tex]y[/tex] be the number of units of B

For assembling we have

[tex]20x+25y\leq 3000[/tex]

For packaging we have

[tex]10x+5y\leq 1200[/tex]

Let profits earned be [tex]Z[/tex] so

[tex]Z=10x+8y[/tex]

We have the maximize the function.

Plotting the equations we can see that the intersection points are [tex](0,120),(100,40),(120,0)[/tex]

In the question it is mentioned we have to sell both the products so [tex]x[/tex] or [tex]y[/tex] cannot be [tex]0[/tex].

So, the point of maximiztion for the function would be [tex](100,40)[/tex]

The maximum profit would be

[tex]Z=10\times 100+8\times 40\\\Rightarrow Z=1320[/tex]

Answer:

x = 2

Step-by-step explanation:

simple

just divide 3 by 1.5 to get x

3 / 1.5 = 2

so

x = 2

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