If the perimeter of a square is
72 inches, what is its area?

a. 72 in. 2
b. 324 in.2
C. 18 in.2
d. 5,184 in. 2

2x+4(2x+7)=3(2x+4)

2x+8x+28=6x+12

10x+28=6x+12

4x+28=12

4x=-16

x=-4

Answer:

4x²+20x+16=0

Step-by-step explanation:

First we can expand the right side:

[tex](2x+4)(2x+7) = 4x^{2} +8x+14x+28[/tex]

Simplify:

[tex]4x^{2} +26x+28[/tex]

Now we can expand the left side:

[tex]3(2x+4) = 6x+12[/tex]

Now we equate both of them to each other:

[tex]4x^{2} +26x+28= 6x+12[/tex]

To make this into a quadratic form we can subtract 6x+12 from both sides:

[tex]4x^{2} +26x+28 - (6x+12) = 6x+12- (6x+12)[/tex]

Simplify

[tex]4x^{2} +20x+16 = 0[/tex]

This is the equation in most simplified version.

x = 4.28

[tex]Given,\ To\ find\ for\ x,[/tex]

[tex]Let\ c\ be\ the\ centre\ of[/tex]

[tex]Circle,\ where[/tex][tex]AD=22.4\ (Diameter)[/tex]

[tex]AC=\frac{22.4}{2}=11.2\ (radius)[/tex]

[tex]AB=8.8[/tex]

[tex]In\ \Delta\ ABC, Right\ angled\ at[/tex]

[tex]B.\ USing Pythagoras\ theovem[/tex]

[tex](AB)^2+(BC)^2=(AC)^2[/tex]

[tex](8.8)^2+(BC)^2=(11,2)^2[/tex]

[tex](BC)^2=125.44-77.44=48[/tex]

[tex]BC=\sqrt{48}=6.92[/tex]

[tex]E_c=x+y\ \ \ \ \(Where\ Fc\ is\ also\ radius\ of\ arcle[/tex]

[tex]\therefore\ \ \ \ \11.2=x+6.92[/tex]

[tex]x=11.2-6.92=4.28[/tex]

[tex]Hence,\ x=4.28\ is\ the\ answer.[/tex]

I hope this helps you

:)

Answer:

[tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex]

Step-by-step explanation:

In a cyclic quadrilateral, opposite angles add up to 180 degrees. Therefore, our answer would be the third answer, [tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex], where QPO and QRO are opposite of each other.

Answer:

8

Step-by-step explanation:

the answer is 8 because the answer is 8

Using linear function concepts, it is found that the trend line would be expected to have a positive slope.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the more times you go to the movies, the more money you are expected to spend, hence the variables are direct proportional and the trend line would be expected to have a positive slope.

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In probabilistic simulation, one or more of the independent variables follows certain probability distributions.

This is also known as Probabilistic Analysis. It is an analysis that tells or gives room for network assessment that is done using probabilistic input data.

Note that it is vital  when there is input parameters known to be random and as such, one or more of its independent variables follows a specific probability distributions.

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Answer:

Son -- 10

Dad -- 30

Step-by-step explanation:

5  years ago the dad was 15 years older than his son.15 / 3 = 5. The son was 5 five years ago he would be 10 now because 5 years ago he was 5. Since the son is 10 the dad must be 30. I know this because the dad is 20 years older than his son.

Answer:

the area is equal to 180cm

Step-by-step explanation:

Area = (heigh x base) / 2

Area = (18 x 20) / 2 = 180

Answer:

The Answer is C: [tex]y > x, y < 4[/tex]

Step-by-step explanation:

By looking at the graph the shaded area is the inequalities that you need to find.

[tex]y=4[/tex] is the lines on the y-axis. Below the y-axis is shaded [tex]y < 4[/tex].

From the [tex]y=x[/tex] is a linear line. Above the linear line is [tex]y > x[/tex]

Answer: 13.312

Step-by-step explanation:

16 x 0.20 = 12.80

4% = 0.512

12.8 + 0.512 = 13.312

The Price of the shirt is now $13.312 .

Hope this helps answering your question !

Answer:

No.

Step-by-step explanation:

The triangles aren't congruent because the value of C is unsaid.

Answer:

f(x) = -5x - 2

Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2,  f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

Answer:

77/18 or 4 5/18

Step-by-step explanation:

Convert 2 1/3 and 1 5/6 into improper fractions then multiply:

7         11      77        5

--  x     --  =   --  = 4  --

3          6      18       18

Hopes this helps :)

Answer:

A. 324π cm^3

Step-by-step explanation:

I took the test and go it right.

Answer:

A. 324π cm^3

Step-by-step explanation:

took test

answer:

192

(the pattern is dividing each number by 4, if you need it)

Answer:

80.

Step-by-step explanation:

Angles of a triangle add up to 180. 180-80-20 is 80.

An expression has numbers, variables, and mathematical operations. The factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The factors of the expression x³-4x²+7x-28 can be written as,

[tex]x^3-4x^2+7x-28\\[/tex]

Take x² as the common factor from the first two terms while 7 as the common factor from the last two terms.

[tex]x^3-4x^2+7x-28\\\\=x^2(x-4)+7(x-4)\\\\=(x^2+7)(x-4)[/tex]

Hence, the factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).

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The initial amount of cash that Sharon will need in this scenario will be $67821.20.

The initial amount of cash will be:

= ($282000 × 20%) + ($282000 × 2%) + ($276360 × 2%) + ($162) + ($37) + $55

= $56400 + $5640 + $5527.20 + $162 + $37 + $55

= $67821.20

Therefore, the the initial amount of cash Sharon will need is $67821.20.

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Answer: 3

Step-by-step explanation: When the dogs are 3, cats will be 9 at ratio 1:3

Answer: 11 times is the awnser

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

7x3=21

6x4=24

21+24=45

The other roots of the given polynomial equation are 2 and -2.

Given polynomial equation is:

[tex]x^{6} -16x^{2} =4x^{4} -64[/tex].....(1)

A polynomial is the sum of monomials of the form axⁿ where n is a whole number.

Rewriting the (1) as:

[tex]x^{6} -4x^{4} -16x^{2} +64=0[/tex]

[tex]x^{4} (x^{2} -4)-16(x^{2} -4)=0[/tex]

[tex](x^{2} -4)(x^{4} -16)=0[/tex]

[tex]x^{2} -4=0[/tex]

[tex]x^{2} =4[/tex]

[tex]x=2[/tex]

[tex]x=-2[/tex]

So, the other roots are 2 and -2.

Hence, the other roots of the given polynomial equation are 2 and -2.

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Answer:

its b

Step-by-step explanation:

took it

Answer:

$14.45

Step-by-step explanation:

15% of 17 is 2.55. 17 - 2.55 is 14.45

The area of the company's logo is  135 square cm

Composite figures are figures that are made up of two or more shapes

The area of the given logo = Area of square + Area of 2 triangles

A = l² + bh

A = 9² + (9)(6)

A = 81 + 54

A = 135 square cm

Hence the area of the company's logo is  135 square cm

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Answer:

x = 0.75 :: y = 1.5

Step-by-step explanation:

6 + 4y = 12

4y = 12 - 6

4y = 6

y = 1.5

_________

2x + 3(1.5) = 6

2x + 4.5 = 6

2x = 6 - 4.5

2x = 1.5

x = 0.75

Answer:

  a = 80°

Step-by-step explanation:

In order to solve this figure, we need to find a useful relationship between the various angles. We can use the straight angle at the upper left vertex of the equilateral triangle.

__

The sum of angles there is ...

  a + 60° +(a/2) = 180°

  3/2a = 120° . . . . . . . . . . subtract 60°, collect terms

  a = 80° . . . . . . . . multiply by 2/3

_____

Additional comment

All triangles are isosceles, because they all have 2 (or more) sides the same length. That means the base angles are half the supplement of the a.pex angle. Of course, adjacent vertices of a rhombus have supplementary angles.

Answer:

44

Step-by-step explanation:

the formula for finding the perimeter of a rectangle is p=2(l+w)