Part A: The area of a square is (16x^2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: The area of a rectangle is (81x^2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

Answer:

Step-by-step explanationBy definition we have that the area of a regular octagon is:

A = 4.83L ^ 2

Where, L is the length of the octagon side.

the similarity ratio = the area ratio.

We have then:

similarity ratio = (50) / (18) = 25/9.

the ratio of the perimeters

A1 = 4.83L1 ^ 2

L1 ^ 2 = A1 / 4.83

L2 ^ 2 = A2 / 4.83

L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9

L1 / L2 = 5/3

The perimeter is:

P1 = 8L1

P2 = 8L2

P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3

answer:

similarity ratio:

25: 9

the ratio of the perimeters:

5: 3

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Answer:

B. 160 minutes

Step-by-step explanation:

200/5=40

40*4=160

Answer:

160

Step-by-step explanation:

You would have to divided the recent pages (200) with the previous (5)

and you would get 40 and then you would multiply the divided amount page with the 4 minutes and you would get 160

How it was worked out:

200 / 5 = 40, 40 x 4 = 160

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

Answer:

The answer to the above question would be true

Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

[tex]\frac{5}{3}= \frac{20}{y}[/tex]

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

[tex]\frac{12}{4} =\frac{y}{1}[/tex]

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

Answer:

150

Step-by-step explanation:

The LCM of 10,15,25 10 , 15 , 25 is 2⋅3⋅5⋅5=150 2 ⋅ 3 ⋅ 5 ⋅ 5 = 150 .

Answer:

hi

Step-by-step explanation:

[tex]7x - 15 + x= 180 \\ 8x = 180 + 15 \\ 8x = 195\\ x = 24.375 \\ x + 28 + 4x - 3 + 24 = 180 \\ 5x = 180 - 28 + 3 - 24 \\ 5x = 131 \\ x = 26.2[/tex]

i think so

hope it helps

have a nice day

Answer:

4 hours

Step-by-step explanation:

If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.

Answer: 54 cm^2

Step-by-step explanation:

Area of a triangle= 1/2 * b * h

A= 1/2 * 9 * 12

A= (9*12)/2

A= 108/2

A- 54 cm^2

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

Answer:

I think it would be Malia but if I'm wrong please let me know.

9514 1404 393

Answer:

  B.  $8,960

Step-by-step explanation:

Use your number sense.

If the account earns interest, the balance will increase from the initial deposit of $8000. The only sensible answer choice is B, $8960.

__

If you want to actually figure it out, the balance is given by ...

  A = P(1 +rt)

  A = 8000(1 +0.04·3) = 8000(1.12) = 8960 . . . . matches choice B

Answer:

113.1 cm²

Step-by-step explanation:

we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius

so first, we need to find the radius

the length of the radius is half the length of the diameter

so that means that r=d/2

r=d/2

r=12/2

r=6

therefore the length of the radius is 6

now square 6, which is the same as multiplying it by itself

6²=36

now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7  

so if we were to do 22/7 for instance,

36*22/7≈113.14

round that to 113.1

there's your answer :)

Hope this helps!

Answer:

A kite is a quadrilateral with exactly two pairs of adjacent congruent sides

Step-by-step explanation:

yw!!

Answer:

B

Step-by-step explanation:

     A = P(1+i/n)^t

   5000 = P(1+0.03/(361.3/91)^1                 361.3   ???  it worked

          P = 5000/1.007556048

          P = $4962.50309  

    the 91 day T-bill confused by financial calculator  which got   $4962.78 for a quarterly compound interest rate

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Answer:

192

Step-by-step explanation:

16 * 12 = 192 square feet

brainliest please??

Answer:

X =64

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

x-6/(x-6)+3 = x/x+5

The x in the equation is 15

Answer:

B

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

Answer:

the answer is 11

Step-by-step explanation:

if you take 18 divided by 3 and then 2 times that plus 2 and minus 25 it is 11

Answer:

A.

[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]

Step-by-step explanation:

Add theses functions

[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]

If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.

Let x represent the time Doug  worked

let 3x - 5 represent the number of hours Mark worked

Hence,

x + 3x - 5 = 3x -5 +13

4x-5=3x-5+13

4x-5=3x+8

Add 5 to both side

4x-5+5 =3x+8+5

simplify

4x =3x +13

subtract 3x from both side

4x -3x = 3x + 13 =3x

1x = 13

x =13/1

x =13 (Doug)

Hence,

3x -5 where x = 13

3 (13) -5

= 39 -5

= 34 hours (Mark)

Total hours

(Doug + Mark)

= 13 hours + 34 hours

= 47 hours

Therefore the total hours is 47 hours.

Learn more about hours worked here:https://brainly.com/question/568252

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