Scott's window store made a mosaic for the community center. The mosaic had an 8 × 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole mosaic?

Answers

Answer 1

Answer:

455.1111 feet²

Step-by-step explanation:

Given that :

Array of mosaic = 8 * 8 color square tiles

Length of each tile = 2 2/3 feets long

The length of mosaic = length per tile * Number of array :

2 2/3 feets * 8 = 21.3333 feets

This corresponds to the side length of the mosaic

The Area of the whole mosaic:

Using the area of square formula = s²

Where, s = side length

s = 21.33333 ft²

s² = 21.33333²

s² = 455.1111²


Related Questions

What is 2 1/2 x 5 as a fraction and how

Answers

Answer:

12.5

Step-by-step explanation:

2 1/2 or 2.5 (in decimal form) times 5 equals 12.5

By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,

⇒ 2 1/2 × 5 = 25 / 2

What is mean by Multiplication?

The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression of the multiplication is,

⇒ 2 1/2 × 5

Now, We can multiply the numbers as;

Here, The expression of the multiplication is,

⇒ 2 1/2 × 5

Change into improper form;

⇒ 5/2 × 5

⇒ 5 x 5 / 2

After multiply the numbers as;

⇒ 25 / 2

Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,

⇒ 2 1/2 × 5 = 25 / 2

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Find the greatest common factor of these three expressions.
20w, 8w, and 28w?

Answers

Answer:

4w.

Step-by-step explanation:

The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft. tall basketball player casts a shadow that measures 9.75 ft.

The basketball player’s little sister is 3.5 ft. tall. At the same time of the day, determine her shadow’s length to the nearest tenth of a foot.

Answers

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{ED}{DC}[/tex]

[tex]\frac{6.5}{3.5}= \frac{9.75}{x}[/tex]

x = [tex]\frac{9.75\times 3.5}{6.5}[/tex]

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answers

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information

Can you answer 1 and 2

Answers

Answer:

You have them both correct. #1 is B   #2 is C

Step-by-step explanation:

Find the area of the regular polygon. Round to the nearest tenth if
necessary.
7.5
5.1

Answers

Answer:

that will be 25 if you put 30 in the thing

Please help! I need answers for both questions it’s very confusing!

Answers

Answer:

for number 5 its:

-15 -8 8/9 -3.3

and for number 6 its:

-3.3 -8 8/9 and -15

also sorry if its wrong

When it seems the negative number get bigger, they’re actually getting smaller. For example -13 is greater than -20. Plus, the absolute value would always be positive.


The answer to number 1 would be:

-15 < -8 8/9 < -3.3


The answer to number 2 would be:


15 < -3.3 < -8 8/9



I hope this helped, and have an awesome day! <3

the linear function g is defined by g(x)=4x. show that g(3) and g(2) have a difference of 4.

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

please help easy 10 points

Answers

hshsuhsbe icbrbrhduus isuabeic

for brainiest:):):):):):):)

Answers

Answer:

1: 55

2: 128

3: 175

Step-by-step explanation:

I believe that this is correct.

A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup

Answers

12 small bowls of soup can be served from a 108 ounce pot of soup

150-ounce pot of soup can make 10 large bowls. Hence:

Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl

For 108 ounce pot of soup:

Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls

1 small bowl =  (3/5) large bowl

7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls

Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.

Find out more at: https://brainly.com/question/21105092

Will Give Brainliest
Let ​ x2+8x=7 .​

What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.

​​x2+8x+ ? ​= ​?

Answers

Answer:

4/6

Step-by-step explanation:

im smart trust

Naomi's bill for breakfast at a restaurant was $82.She left a15% tip.What was the amount of the tip?

Answers

Answer:

$12.30 is the tip

Answer:

$12.30 is the answer.

Step-by-step explanation:

82 * 0.15 = 12.3

Each hour, every person who knows a rumor tells two other people. If one person starts the rumor, then after the first hour, three people know the rumor. The next hour, those three people each tell two more people. After eight hours, how many people will know the rumor? You do not have to include units in your answer. (I've asked this question before but the answer I got was 384 and it was incorrect)

Answers

Answer:

64

Step-by-step explanation:

In this problem n is 6 which represents the sixth and final hour of the period. Therefore gn = g6.

g1 = 2 which is the first value in the sequence which corresponds to the first hour where 2 people know the                 rumor.

r = the common ratio is 2, because each successive hour the people who know the rumor doubles... {2, 4, 8...}.

Substitute into equation:     g6 = 2 x 26-1 = 2 x 25 = 2  x 32 = 64 Answer is 64.

Solve the problem.
Some dogs were playing in
the park. Seven more dogs
ran over. Then there were
nine dogs. How many dogs
were in the park before?

Answers

Answer:

2 dogs

Step-by-step explanation:

2 dogs at 1st plus 7 dogs added equals 9

3x - 2x + 1 = 8
How do I solve this

Answers

Answer:

x = 7

Step-by-step explanation:

3x - 2x + 1 = 8

x + 1 = 8

*subtract 1 from both sides

x = 7

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Combina los términos semejantes

[tex]3x-2x+1=8\\x+1=8[/tex]

Resta 1 de ambos lados de la ecuación

[tex]x+1-1=8-1\\[/tex]

Simplifica y resta los números

[tex]x=7[/tex]

The scale of map is 1cm : 70km. What is the actual distance between towns that are 5cm apart on the map

Answers

Answer: 350km

Step-by-step explanation:

Since we are informed that the scale of map is 1cm : 70km. Therefore, the actual distance between towns that are 5cm apart on the map will be:

= 5 × 70km

= 350km

Therefore, the answer is 350km

yall i need help rn please

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If y = 1/2x, then y will always be half of x.

Can any of these get round to the Nearest tenth

Answers

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

I need help on these Math questions ASAP. Sorry if I come off as annoying. I don't understand these questions and I've researched everything. They've been overdue for about a week now. Sorry.

Answers

Answer:

Ok

Step-by-step explanation:

Please answer the question above

Answers

Answer: 15.4 m

Step-by-step explanation:

The area of a parallelgoram is:

A = bh,

where b is the base and h is the height.

We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:

A = 7.7 (2)

A = 15.4 m

Hope this helps! :)

!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Answer:

z=23

Step-by-step explanation:

hope this helps! :)

HELP HEP HELP LAST ONE OMG

Answers

can you take another photo the top part is a bit cut off

Which of the following equations has a solution x = 4? Select all that apply.
0-2 (32 – 4) = -16
{(100 + 2) = 6
20 - 15x = 6 - 2 (4x + 7)
(90 - 12) +6 = -10

Answers

Answer:

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex]

Step-by-step explanation:

Given

[tex]-2(3x - 4) = -16[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Required

Equations with [tex]x = 4[/tex] as a solution

[tex]-2(3x - 4) = -16[/tex]

Divide both sides by -2

[tex]3x - 4 = 8[/tex]

Add 4 to both sides

[tex]3x - 4 +4= 8+4[/tex]

[tex]3x =12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

[tex]\frac{1}{2}(10x + 2) = 6[/tex]

Multiply both sides by 2

[tex]10x + 2 = 12[/tex]

Subtract 2 from both sides

[tex]10x + 2 -2= 12-2[/tex]

[tex]10x = 10[/tex]

Divide both sides by 1

[tex]x = 1[/tex]

[tex]20- 15x = 6 - 2(4x + 7)[/tex]

Open bracket

[tex]20 - 15x = 6 - 8x - 14[/tex]

Collect like terms

[tex]8x - 15x = 6 - 14 - 20[/tex]

[tex]-7x = -28[/tex]

Divide both sides by -7

[tex]x = 4[/tex]

[tex]\frac{1}{3}(9x - 12) + 6=-10[/tex]

Subtract 6 from both sides

[tex]\frac{1}{3}(9x - 12) + 6-6=-10-6[/tex]

[tex]\frac{1}{3}(9x - 12) =-16[/tex]

Multiply both sides by 3

[tex]9x - 12 = -48[/tex]

Add 12 to both sides

[tex]9x - 12 +12= -48+12[/tex]

[tex]9x = -36[/tex]

Divide both sides by 4

[tex]x =-4[/tex]

[tex]-2(3x - 4) = -16[/tex] and [tex]20- 15x = 6 - 2(4x + 7)[/tex] have [tex]x = 4[/tex] has a solution

Answer: 1st and 3rd

Step-by-step explanation:

Which statement correctly compares the parking rates for each lot?
O Lot A costs $4.20 less per hour than Lot B.
O Lot A costs $0.10 more per hour than Lot B.
O Lot B costs $0.05 less per hour than Lot A.
O Lot B costs $0.01 more per hour than Lot A.

Answers

Answer: O Lot B costs $0.01 more

Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A

the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect

Answers

hi

if it's intersect, then :  

4x-10 = -4x+8

-10-8 = -4x-4x

 -18  = -8x

 -18/-8 = x

   18/8 = x

   9*2 /4*2 = X

   9/4 = X

So X is  9/4   then y  is  :   4( 9/4) -10 =  9-10 = -1  

Lines intercept at   (  9/4 ; -1)

Find the area of the trapezoid, I will give brainlist. If you can please explain how you got the answer

Answers

Answer:

36 sq inches

Step-by-step explanation:

bases are the two parallel sides -- 8" and 4"

height is perpendicular to the base -- 6"

formula for area of a trapezoid:  A = 1/2h·(sum of bases)

A = 1/2(6)(8 + 4)

A = 3(12)

A = 36 sq inches

Which of the following equations has the steepest slope?
a) y= 2/3 x+ 4
b) y = 2/5 x + 2
c) y = 3/2 x + 5
d) y = 1/2 x + 1

Answers

D.................................

PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side lengths round to the nearest tenth

Answers

Answer:

A = 4.6 cm

Step-by-step explanation:

Here, we want to find the length of the apothem, given the side lengths

Mathematically, we have this as;

A = s/2 tan (180/n)

where in this case;

s is the length of the sides which is 16 cm

n is the number of sides (since it is hexagon, we have this as 6)

Substituting these values;

A = 16/2 * tan (180/6)

A = 8 * tan 30

A = 4.62

To the nearest tenth, A is 4.6 cm

An equation is shown below:
BRAINLEST
8(2x – 14) + 13 = 4x – 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x

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