find the scale factor and ratio of perimeters for a pair of similar octagons with areas 49 ft^2 and 64 ft^2​

We are given a system of equations,

[tex]\begin{cases}-x+2y=0\\y=-2\\ \end{cases}[/tex]

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}[/tex]

The matrix will then be applied to the vector (lower dimensions on top),

[tex]\begin{bmatrix}x\\y\\ \end{bmatrix}[/tex]

And the result vector will be whats on the other side of equals sign,

[tex]\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

So to put everything together,

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

Hope this helps :)

Answer:

8 1/8 units^3

Step-by-step explanation:

This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:

lwh

But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:

bh

Which means area of base times the height.

USE THE FORMULA bh:

16 1/4 x 1/2

= 65/4 x 1/2

= 65/8

SIMPLIFIED: 8 1/8

Volume is measured in cubic units

SO YOUR ANSWER IS 8 1/8 units^3

Answer:

<4 = <1

Step-by-step explanation:

Judging from the picture, <1 and <4 are opposite angles. Opposite angles are always congruent. Hope this helps!

Answers:

================================================

Explanation:

If it's sold at a loss of 15%, then the store owner loses 0.15*330 = 49.50 dollars

So it was sold for 330- 49.50 =  280.50 dollars

----------------------------

An alternative method:

If the store owner loses 15%, then they keep the remaining 85% since 15%+85% = 100%.

85% of 330 = 280.50 dollars is the discount price

This means 330-280.50 = 49.50 dollars is the amount lost.

Answer:

[tex]14<15[/tex]

[tex]0<2x+10<62[/tex]

[tex]-10<2x<52[/tex]

[tex]-5<x<26[/tex]

~OAmalOHopeO

Answer:

0.8333

Step-by-step explanation:

Given :

Mean, X = 100

Lower Specification Limit, LSL = 100 - 10 = 90

Upper Specification Limit, USL = 100 + 10 = 110

Standard Deviation, σ = 4

The process capability index, Cpk;

Cpk = Min[(X - LSL) / 3σ; (USL - X) /3σ]

Cpk = Min[(100 - 90) / 12 ; (110 - 100 ) /12]

Cpk = Min [0.8333 ; 0.8333]

Hence, Cpk = 0.8333

Answer:

x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))

Step-by-step explanation:

notice that x = MK = HM = 24.

Let the center of the circle be C.

Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).

Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)

Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))

hopefully this helped

x=35

vertical opposite angles are equal.

Answer:

A

Step-by-step explanation:

They are different exponents but they have the same bas so you add them up.

4x^5+3 = 4x^8

[tex] \pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^{n} = {x}^{n} . {y}^{n} \\ \\ \bf \rightarrow \: {( {a}^{m} })^{n} = {a}^{m \times n} \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^{5} })^{3} \\ \bf = {4}^{3} \times ({x}^{5} )^{3} \\ \bf = {4}^{3} \times {x}^{5 \times 3} \end{array}}}}\end{array}}}}[/tex]

So option D) is the correct answer

Answer:

B

Step-by-step explanation:

Answer:

1a 300

b 180

c 330

d 1470

e 180

f 7344

Step-by-step explanation:

Answer: 1.28571428571. This number is infinite.

Step-by-step explanation:

Answer:

1.29 rounded

Step-by-step explanation:

9514 1404 393

Answer:

  111 1/9 pounds

Step-by-step explanation:

The given relationship is ...

  delivered = ground × (1 -10%)

Then ...

  ground = delivered/0.90 = 100 lb/0.90 = 111 1/9 lb

It is necessary to grind 111 1/9 pounds of grain to have exactly 100 lb after a 10% payment.

Answer:

7 square are 0resent on aaaaaa

Answer:

B

Step-by-step explanation:

Because it'll be 1²+2×1-3=0

And -3²+2(-3)-3=9-6-3=0

So it's impossible

Answer:

3x ( x+2)(x^2−2x+4)

Step-by-step explanation:

3x^4 + 24x.

Factor out the greatest common factor

3x*x^3 + 3x*8

3x(x^3+8)

Then factor the cubic term

The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)

3x ( x+2)(x^2−2x+4)

Given:

The inequality is:

[tex]|2x-1|>3[/tex]

To find:

The solution set for the given inequality.

Solution:

We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].

We have,

[tex]|2x-1|>3[/tex]

It can be written as:

[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]

Case I:

[tex]2x-1<-3[/tex]

[tex]2x<-3+1[/tex]

[tex]2x<-2[/tex]

[tex]x<\dfrac{-2}{2}[/tex]

[tex]x<-1[/tex]

Case II:

[tex]2x-1>3[/tex]

[tex]2x>3+1[/tex]

[tex]2x>4[/tex]

[tex]x>\dfrac{4}{2}[/tex]

[tex]x>2[/tex]

The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Answer:

gshwhsye

Step-by-step explanation:

gshshhshshshjsjsjsj

Answer: width = 11 m

Concept:

Here, we need to understand how to find the area of a rectangle.

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

A = w · l

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = w + 3

A = 154 m²

Given formula

A = w · l

Substitute values into the formula

154 = w · (w + 3)

Expand Parentheses (Distributive property)

154 = w² + 3w

Subtract 154 on both sides

154 - 154 = w² + 3w - 154

0 = w² + 3w - 154

Solve for the quadratic equation

(w - 11) (w + 14) = 0

w = 11 or w = -14 (Neglected because length cannot be negative)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

7 3/4ft

Next time when a question ask you to find the perimeter just add all the length of each sizes

Answer:

2dollars

Step-by-step explanation:

one bag of popcorn is 4 dollars so 4 bags of popcorn is 16 plus 1 drink which is 2 dollars equal 18.

The cost of each popcorn is $4 and the cost of each drink will be $2.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If two bags of popcorn and three drinks cost $14, and four bags of popcorn and one drink costs $18.

Let the cost of each popcorn be 'x' and the cost of each drink be 'y'. Then the equations are given as,

2x + 3y = 14           ...1

4x + y = 18            ...2

From equations 1 and 2, then we have

2x + 3(18 - 4x) = 14

2x + 54 - 12x = 14

10x = 40

x = $4

Then the value of the variable 'y' is calculated as,

y = 18 - 4(4)

y = 18 - 16

y = $2

The cost of each popcorn is $4 and the cost of each drink will be $2.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

6,78

Step-by-step explanat

ion:data size :10

Sample mean:15

Standard sample deviation :6,782

Answer:

6,78

Step-by-step explanation:

Answer:

C.

Don't have time for explanation... just trust me

Answer:

2 Hours

Step-by-step explanation:

Required man hours to complete the full job = 12 *15

                                                                           =180 Man hours

Required man hours to complete the 2/5 of the job = 180/5

                                                                                      = 36 Man hours

if 18 peoples are working,

required hours to complete the 2/5 of the job = 36 /18

                                                                            = 2 hours

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: [tex]\frac{3 + \sqrt{105} }{4}[/tex], [tex]\frac{3 - \sqrt{105} }{4}[/tex]

Hope this helps!

Answer:

the correct answer is |x – 18| ≤ 4

just took the test

Step-by-step explanation:

Answer:

C. all possible input values of the function

Step-by-step explanation:

Answer:

C is right

Step-by-step explanation:

domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

[tex]y = \frac{1}{x}[/tex]

[tex]y' = \frac{1}{x+5} + 2[/tex]

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex]y = \frac{1}{x}[/tex]

[tex]y_1 = \frac{1}{x + 5}[/tex]

Next, translate y1, 2 units up.

The rule is:

[tex](x,y) \to (x,y+2)[/tex]

So, we have:

[tex]y' = y_1 + 2[/tex]

[tex]y' = \frac{1}{x + 5} + 2[/tex]

Hence, the transformation is:

5 units left and 2 units up

Answer:

b

Step-by-step explanation:

Hey there!

2w^2 - 3w + 7

= 2(-2)^2 - 3(-2) + 7

(-2)^2

= (-2)(-2)

= 4

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

2(4) = 8

3(-2) = -6

= 8 - (-6) + 7

= 8 + 6 + 7

8 + 6 = 14

14 + 7

= 21

Answer: 21

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)