This room has scratches on the floor. Tyler wants to arrange this rug to cover the scratched area. He will need to flip the rug over (perform a reflection) to do this. Find a reflection that will cover the scratched area with the triangular rug. Be sure to specify the line of reflection

The answers for the questions are:

1) The dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait.

4) He needs to trim 4.4cm of the height of poster

A rectangle is a quadrilateral with opposite sides equal and all angles 90°

Analysis:

1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4

 width of poster = 2x4 + 3x12 = 8 + 36 = 44cm

  Height of poster = 4x2 + 3x16 = 56cm

2) possible combinations, are 8 picture on a row and 3 picture on a column

     width = 9spacing x 2cm + 8 pictures x 12 = 114cm

   length = 4 spacing x 2 + 3pictures x 16 = 56cm

   12 pictures on a row and 2 pictures on a column

     width = 13 spacing x 2cm + 12 pictures x 12 = 170cm

      length = 3 spacing x 2cm + 2 pictures x 16 = 38cm

    6 pictures on a row and 4 pictures on a column

      width = 7 spacing x 2cm + 6 pictures x 12 = 72cm

       length = 5 spacing x 2cm + 4 pictures x 16 = 74cm

    The smallest area is 74 x 72 = 5328 square centimeter

3.  For portrait,

     width = 6 photos x 12cm + 7 spacing x 2cm = 86cm

      length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm

     For landscape,

     width = 6 photos x 16cm + 7spacing x 2cm = 110cm

      length = 3 pictures x 12cm + 4 spacing x 2 = 44cm

     The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.

4. Let the equal spacing be P

   for full width = 62cm

    4pictures x 12cm + 5 spacing x P = 62

   48 + 5p = 62

   5P = 62-48

   5P = 14

   P = 14/5 = 2.8cm

   length of poster using equal spacing of 2.8cm

   length would take 6 photos

   6 photos x 16 + 7 spacing x 2.8 = 115.6cm

   original length of poster is 120cm

  so he would need to trim  (120-115.6) = 4.4cm

In conclusion, The answers to the questions are:

1) dimensions of poster are 44cm by 56cm

2) The smallest poster area needed is 5328 square centimeter

3) The orientation that uses the lesser poster area is portrait

4) He needs to trim 4.4cm of the height of poster

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Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of:

The large circle =  π r^2 = π * 10^2 = 100π

The small circle = π * 5^2 = 25π.

3t=21

[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]

Step-by-step explanation:

that means the opposite ...

the opposite of

x > 39

is

x <= 39

Answer:

the answer is bottom left trust

Answer:

bottom left is the answer

Step-by-step explanation:

So

And

sin47=0.73

cos47=0.68

So meanwhile sin is greater so 6sin is also greater

Answer:

Ship 2

Step-by-step explanation:

From inspection of the diagram, the problem has been modeled as a right triangle.  Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find [tex]x[/tex] use the sine trig ratio:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]

[tex]\implies x=6 \sin(47^{\circ})[/tex]

[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]

To find [tex]y[/tex] use the cosine trig ratio:

[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]

[tex]\implies y=6 \cos(47^{\circ})[/tex]

[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]

As 4.09 < 4.39, ship 2 is currently closer to the coast guard.

Answer:

A=a2=142=196cm²

Answer: 196 cm²

hope this helps :)

Answer:

196cm²

Step-by-step explanation:

All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.

To find the area you multiply the length and the width (A=l*w)

l=14, w=14

14*14=196cm²

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

Answer:

  (b)  Subtract the total deductions from the gross pay

Step-by-step explanation:

The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."

The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."

  net pay = gross pay - deductions

Net pay is calculated by subtracting total deductions from gross pay.

Angles in a triangle adds up to 180

180 - (25.5 +120.2) = 34.3

So, missing angle is 34.3 degrees

Hope this helps!

Answer:

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let x = number of shirts sold in Week 1

Let y = number of shirts sold in Week 2

Profit = Selling price - cost price

If Billy purchased the shirts at a cost of $15 each, then

Equation 1

Total of 100 shirts purchased:

⇒ x + y = 100

Equation 2

Total profit of $600:

⇒ 10x + 5y = 600

Rewrite Equation 1 to make y the subject:

⇒ y = 100 - x

Substitute this into Equation 2 and solve for x:

⇒ 10x + 5(100 - x) = 600

⇒ 10x + 500 - 5x = 600

⇒ 10x - 5x + 500 = 600

⇒ 5x + 500 = 600

⇒ 5x = 600 - 500

⇒ 5x = 100

⇒ x = 100 ÷ 5

⇒ x = 20

Therefore, Billy sold 20 shirts in his first week.

Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

Answer:

6

Step-by-step explanation:

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

Answer:

[tex]5(x-2)^2[/tex]

Step-by-step explanation:

[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Answer:

here is your answer.

Step-by-step explanation:

total frequency is 24

Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)

x = 6

Equilaterals are a type of triangle where all of the sides are congruent. The angles are also all equal.

Setting Up the Equation

As stated above, all of the sides are congruent. This means that the lines must be equal to which others. Since the sides are equal, we can set them equal to each other.

Now, we can substitute the expressions in the equation.

Solving the Equation

After we set up the equation, we can solve for x using the properties of equality. There are different orders in which this can be solved. So if you prefer to work in a different order, the answer should still be the same.

First, rewrite the equation

Next, add 33 to both sides

Then, subtract 7x from both sides

Finally, divide both sides 15

This gives us our final answer of 6.

Checking the Answer

If you wanted to, you can check your answer by plugging 6 into the original equation.

Then solve the equation

Since both sides are equal, the answer must be correct.

Answer:

[tex] \frac{y}{2} = x \\ \\ y = 2x[/tex]

Answer:

61.8 feet to nearest tenth.

Step-by-step explanation:

USING THE PYTHAGORAS THEOREM:

55*2 = 21^2 + h^2  where h is the height of the top of the ladder from the ground.

h^2 = 55^2 - 21^2

      =  2584

h = √2584

   =  50.83 ft.

So the height of the building

= 11 + 50.83

= 61.83 feet.

Answer:

Ib = $16 per lb

Step-by-step explanation:

Answer:

I'm very sure it is B. The number of students who collected exactly 9 bottles.

Step-by-step explanation:

A is wrong because it does show the total amount of students.

C is wrong because it does show the amount of students that collected 3 or fewer bottles.

D is wrong because it does show the total number of students who collected 7 or fewer bottles.

So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.

Answer:

The answer your looking for would be B. "The number of students who collected exactly 9 bottles"

Step-by-step explanation:

I took the FLVS test.

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Using it's concept, it is found that the domain of the function graphed below is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

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standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{\cfrac{2}{5}}(x-\stackrel{x_1}{(-3)})\implies y-6=\cfrac{2}{5}(x+3)[/tex]

[tex]y-6=\cfrac{2}{5}x+\cfrac{6}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5(y-6)~~ = ~~5\left( \cfrac{2}{5}x+\cfrac{6}{5} \right)}\implies 5y-30~~ = ~~2x+6 \\\\\\ -2x+5y-30=6\implies -2x+5y=36\implies 2x-5y=-36[/tex]

The set of actions that should be used is: toss a coin twice, then roll a 6-sided number cube

We know tath the game has 24 possible outcomes. Then we need to find a set of actions that gives 24 different outcomes all with the same probability.

Of the given options, the only one that has a sample space of 24 elements is the first one.

Toss a coin twice and then roll a D6.

For each coin toss, the outcomes are 2 (tails and heads).

For the D6 there are 6 outcomes (1, 2, 3, 4, 5, 6)

Then the total number of outcomes for two tosses and rolling the number cube is given by the product between the numbers of outcomes for each individual part:

C = 2*2*6 = 4*6 = 24.

From this, we conclude that this is the correct option.

If you want to learn more about outcomes:

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Answer:

the correct ones are

2, Select a card from a set of cards with the letters A through D, then spin this  once.

5,Toss a coin twice, then roll a 6-sided number cube with the digits 1 to 6.

6, spin this and roll an 8-sided number cube with the digits 1 to 8.

Step-by-step explanation:

so basically both the colored wheel answers and the one with the coin and cube

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