the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one before. What is the perimeter and area of the entire shape?

The Largest Of These Five Squares Has Side Length 27 Units, And Each Additional Square's Side Length

Answers

Answer 1

The total area is 1289.41 units².

The total perimeter is 281.32 units.

What is the total area and perimeter?

The first step is to determine the side lengths of the other squares:

Length of the second square = 2/3 x 27 = 18 Length of the third square = 2/3 x18 = 12 Length of the fourth square = 2/3 x 12 = 8Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

Area of the first square = 27² = 729 Area of the second square = 18² = 324Area of the first square = 12² = 144 Area of the first square = 8² = 64Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

Perimeter of the first square = 4 x 27 = 108 unitsPerimeter of the second square = 4 x 18 = 72Perimeter of the third square = 4 x 12 = 48 Perimeter of the fourth square = 4 x 8 = 32 Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

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Answer 2

Answer:

PERIMETER: 584/3, AREA: 11605/9

Step-by-step explanation:

PERIMETER: The side lengths form a geometric series with a = 27, and r = 2/3. Along the bottom we see all five lengths, and those same lengths are seen along the top. The sum of these lengths is 27+18+12+8+16/3=211/3.

We can also calculate this as the sum of the geometric series:

27 (1 - (2 / 3) ^ 5)/ 1 - (2 / 3) = 27(1 - 32 / 243)/ (1 / 3) = 81 x 211/243 = 211/3

We see these lengths twice, once along the bottom and once as horizontal segments on the top. We also add the left side of 27. The vertical segments on the right must also have a total length of 27, since they cover the same ground as the left side.

The total perimeter: 2 x 211/3 + 2 x 27 = 584/3

AREA: 27^2 + 18^2 + 12^2 + 8^2 + (16/3)^2 = 11605/9


Related Questions

Can someone please help me with this? it's really important, ill give 10 points for this.

Answers

Answer:

ill answer

Step-by-step explanation:

but what is the question please make me brillianist

What is the length of segment XZ?

Answers

Answer:

24 is the length of segment XZ

If arc CE is 125°, what is the measure of angle CDE?

Answers

Check the picture below.

Answer:

A. 55

Step-by-step explanation:

10m−p=−n, for m
10m−p=−n, for m
10m−p=−n, for m
10m−p=−n, for m

Answers

Answer:

[tex]m=\dfrac{-n+p}{10}[/tex]

Step-by-step explanation:

Solve for 'm'

To solve for 'm', we have to isolate 'm'.

First add p to both sides to cancel (-p) in the left side

          10m - p = -n

                  10m = -n + p

Now, divide the equation by the coefficient of 'm', which 10

                   [tex]\sf\dfrac{10m}{m}=\dfrac{-n+p}{10}\\[/tex]

                    [tex]\sf \boxed{\bf m = \dfrac{-n+p}{10}}[/tex]

The table shows values for a quadratic function.
What is the average rate of change for this function for the interval from x = 1
to x = 3?

Answers

The average rate of change for this function for the interval from x = 1

to x = 3 will be 8. Therefore option B is correct.

How to find the average rate of change of something?

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where when

[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]

The average rate of change can be calculated as;

From x=1 to x=3,

y = 2 and y = 18

Therefore, based on the table, when:

[tex]x_1 = 1 y_1 = 2 \\and \\x_2 = 3, y_2 = 18[/tex]

Then:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\text{Average rate} = \dfrac{18 - 2}{3-1}\\\\\text{Average rate} = \dfrac{16}{2}\\\\\text{Average rate} = 8[/tex]

Therefore option B is correct.

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Which of the following choices is a reference angle to θ = 225º?
30 degrees
45 degrees
60 degrees
90 degrees

Answers

Answer:

45 degrees

Step-by-step explanation:

A reference angle can be found by identifying its terminal side and see by what angle the terminal side is close to the x-axis.

To do this, we can subtract this given angle by the nearest 90° angle.

270° is the closest.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \textsf{Reference angle = 270 - 225}[/tex]

[tex]\implies \textsf {45 degrees}[/tex]

The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given angle,

θ = 225°

It is going to the third quadrant as shown below,

The reference angle is the angle from x-axis.

The angle from the negative x-axis will be as,

180° + x = 225°

x = 225° - 180° = 45°

Hence "The reference angle is the angle from the x-axis thus 45 degrees will be the reference angle to θ = 225°".

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Using a standard six-sided die, janice rolled either a 2 or a 5on the last 6 rolls of the die. what is the probability of janice rolling a 2or a 5 on her 7th toss of the die?

Answers

Answer:

1/3

Step-by-step explanation:

probability = favorable outcomes/total possible outcomes

There are two favorable outcomes, 2 and 5.

There are 6 total possible outcomes.

Make your fraction.

2/6

reduce

1/3

The perimeter of a square is 56cm. State the length of one of its sides.

Answers

Answer:

The length of one of the sides would be 14 cm.

Step-by-step explanation:

There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)

need help fast given lim x→c f(x) = "-4" and lim x→c g(f) =1/5 what is lim x→c [g(f)/f(x)]

Answers

Answer:  -1/20

Work Shown:

[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]

Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20

Which three ordered pairs describe points that are 5 units away from P(-1,2)?
A. (1,5)
B. (-6,7)
C. (-1,-3)
D. (4,2)
E. (2,-2)​

Answers

The ordered pair that is 5 units away is (-1, -3)

What is a line?

A line is a distance between two points.

Analysis:

see attached file.

In conclusion, the ordered pair is (-1, -3)

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how old is someone, who is a million minutes old?

Explanation and work out pls

Answers

Answer:

1.93 or 2 years old

Step-by-step explanation:

First divide 1,000,000 by 60 to get the hours then by 24 to get the days then by 30 to get the months then by 12 to get the years.

Answer:

2 years old(Rounded)

Keys:

Ytv

Where Y is Years, m is minutes, and v is the default value for dividing minutes into years.

Step-by-step explanation:

Y = m ÷ v

m = 1,000,000

v = 525,600

m ÷ v = 1.903

Please Help I Don't Understand!

Answers

Answer:

5.3

Step-by-step explanation:

Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC

3NC = 16
NC = 16/3
16/3 = 5.333333

6. Find the principal value of each of the following to the nearest minute:
Arccsc (1.607)
A. 38°64
B. 39°24'
C. 38°48'
D. 38°32'
E. 39°37'
F. 38°29'

Answers

The principal value of Arccsc (1.607) to the nearest minute is 38°29'

To answer the question, we need to know what arccsc is

What is arccsc?

Arccsc is the inverse of the cosec of an angle.

Let x =  arccsc(1.607)

So, taking the inverse, we have

csc(x) = 1.607

Since csc(x) = 1/sinx, we have

1/sinx = 1.607

sinx = 1/1.607

sinx = 0.6223

The value of x

Taking inverse, we have

x = arcsin(0.6223)

x = 38.483°

Since 60' = 1°, we have

x = 38 + 0.483° × 60'/1°

x = 38° + 28.98'

x = 38°28.98'

x ≅ 38°29'

So, the principal value of Arccsc (1.607) to the nearest minute is 38°29'

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What is the end behavior of the function f(x)=−1/4x^2?

Answers

Answer:

As x approaches infinity, f(x) approaches negative infinity

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

and as the x values go towards the negatives, the y values go towards the negatives.

Help For points
-100
-120
-140

Answers

The answer to your question is x=140

Answer:

x = 140°

Step-by-step explanation:

the secant- secant angle 10° is half the difference of the intercepted arcs

10° = [tex]\frac{1}{2}[/tex] (30 - ? )° ( multiply both sides by 2 to clear the fraction )

20° = 30 - ? ( subtract 30° from both sides )

- 10 = - ? ( multiply both sides by - 1 )

10° = ?

the lower arc is a semicircle = 180°

the sum of the arcs in a circle = 360° , then

x = 360° - 180° - 30° - 10° = 360° - 220° = 140°

how do u convert a percentages into fractions ??

Answers

Answer:

Step-by-step explanation:

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100

ex: 11% = 11/100

What is the surface area? 2 mm 3 mm 1 mm square millimeters​

Answers

••••••••••••••••••••••••••••••••••••••••••••[tex] \mathbb{PROBLEM:} [/tex]

What is the surface area? 2 mm 3 mm 1 mm square millimeters.

[tex] \mathbb{SOLUTION:} [/tex][tex] \sf{SA = 2mm \times3mm \times 1mm } [/tex]

[tex] \sf{SA = 2x(2 \times 3 + 2 \times 1 + 3 \times 1)}[/tex]

[tex] \sf{SA= 22 \: square \: millimeters^{2} } [/tex]

••••••••••••••••••••••••••••••••••••••••••••

- Hence,The square millimeters is 22sqm².

"Problem has been Solve"

(ノ^_^)ノ

Answer :

Surface area is 22mm²

Required solution :

After noticing the question we got to knew that we need to calculate the surface area of cuboid and we've been provided with the values of length, breadth and height of it.

Surface area of cuboid :

S.A. =2 (lb + lh + hb)

Substituting values,

>> S.A. = 2 (2 × 3 + 2 × 1 + 3 × 1)

>> S.A. = 2 (6 + 2 + 3)

>> S.A. = 2 (8 + 3)

>> S.A. = 2 (11)

>> S.A. = 2 × 11

>> S.A. = 22

A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.

Answers

P(B|A) expressed in simplest form is  8/105.

What is the probability?

Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.

P(B|A)  = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )

(4/15) x 4/14 = 8/105

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While Al was staying overnight on vacation with his friends his only expenses were for food. Al spent $7.52 on lunch, $9.74 on dinner, and then $5.16 on breakfast the next morning. If Al had $2.68 left, how much money did he begin with?


$19.74

$25.10

$15.36

$22.42

Answers

Answer:

$25.10

Step-by-step explanation:

lunch=$7.52

dinner=$9.74

breakfast=$5.16

money left=$2.68

make total money he began with ‘x’

to find the total money he began with it will be

x-lunch+dinner+breakfast=money left

x-$7.52+$9.74+$5.16=$2.68

x-$22.42=$2.68

x=$2.68+$22.42

x=$25.10

MATH!!! Volume of prisms stuff

Answers

84m3 hope this helps lol

On the blue prints for a house, 2 inches represents 3 feet. If the width of a room on
the plan is 6½ inches, what is the actual width of the room?

Please help!!

Answers

Answer:

The actual width would be 9.75 feet. (I think).

Step-by-step explanation:

If two inches represents three feet, then two inches also represents thirty-six inches. You would then have to set up the proportion [tex]\frac{2}{36} = \frac{6.5}{x}[/tex]. Solving that proportion would get you an answer of 117 inches, equal to 9.75 feet. I hope this helps! :)

Find the value of x.
Round to the nearest tenth.
B
63
142°
61
A
C
X
x = [?
X
Law of Cosines: c² = a² + b² - 2ab cos C

Answers

The value of x in the triangle using the cosine rule is 22.1 degrees.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

Using cosine rule:

8² = 14² + 19² - 2(14)(19) * cos(x)

cos(x) = 0.9267

x = 22.1°

The value of x in the triangle using the cosine rule is 22.1 degrees.

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Using the law of Cosines, the value of x to the nearest tenth is 77.8

Law of Cosines

From the question, we are to determine the value of x

Using the law of Cosines

c² = a² + b² - 2ab cos C

c is the unknown side length  

a and b are the given side lengths

and C is the included angle

From the given information,

a = 63

b = 62

C = 142°

Then,

x² = 63² + 61² -2×63×61 cos 142°

x² = 3969 + 3721 -7686(-0.788)

x² = 7690 + 6056.568

x² = 13746.569

x = √13746.569

x = 77.8

Hence, the value of x to the nearest tenth is 77.8

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Need help checking my work for Trigonometry. Will mark brainist!

Answers

Answer:

1.  0.9925  (4 d.p.)

2.  17°

3.  67°

Step-by-step explanation:

Question 2

⇒ sin 83° = 0.9925461516...

⇒ sin 83° = 0.9925 (4 d.p.)

Question 3

[tex]\sf \implies \sin X=0.2923[/tex]

[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]

[tex]\implies \sf X=16.99570395...^{\circ}[/tex]

[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]

Question 4

Sine Ratio

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

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

From inspection of the triangle:

[tex]\theta[/tex] = WO = OS = 24H = OW = 26

Substitute the values into the formula and solve for W:

[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]

[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]

[tex]\implies \sf W=67.38013505...^{\circ}[/tex]

[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]            

PLEASE ANSWER THESE!!!!!!!!!!!!!!!!

Answers

Answer:

First one: X= 11.5

Second one: W = 3

X= 41.4°

Third one: 516.8

Step-by-step explanation:

Remember SOH CAH TOA when dealing with trigonometry and study the diagrams well

3. The probability of winning a balloon dart game is 0.25. The odds of winning a ring toss game are 2:7. Which game gives you a better chance of winning?

Please help ​

Answers

Answer:

Ring toss game

Step-by-step explanation:

[tex]2:7[/tex] can be rewritten as [tex]\frac{2}{7}[/tex], which is [tex]\approx0.286[/tex].

We can now compare the probabilities of winning for each game.

[tex]0.286 > 0.25[/tex]

This means the odds of winning the ring toss game ([tex]0.286[/tex]) are higher than the odds of winning the balloon dart game [tex](0.25)[/tex].

An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once. Match the outcome to its probability.
1. P(2 or 4)
2. A(multiple of 2)
3. P(multiple of 3)
4. P(odd prime numbers)

2/3
0
1
1/3​

Answers

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

What is probability?

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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Can you do it on paper and photos? the answer!
help me

Answers

The value of x in all case is

1. The value of x is 2

2. The value of x is 1

3.The value of x is 57

4.The value of x is 93

What is complementary and supplementary angle?

If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

1. As the given angle is 90 degree i.e., complementary angle.

So,

54+10x+16=90

20=10x

x=2

2. 65x-12=43x+10  (Vertically opposite angle)

 22x= 22

x=1

3. 72= x+15  (Vertically opposite angle)

x= 57

4.x+244+23=360  (Complete angle)

 x=93

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There is a set of 10 jobs in the printer queue. One of the jobs in the queue is called job A. How many ways are there for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish

Answers

The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

How to solve permutation and combination?

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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what is the value of x if 105% of 90 is equal to 200% of x?

Answers

47.25
105% of 90 is 94.5 and since x is equal to that (105% of 90) and is 200% of x, you divide 94.5 by 2 to get 100% which is 47.25.
I hope this helps!

The area of a square is 36 square feet. each side of the square measures

Answers


6 ft for each side, bc area is side times side, which 6x6=36
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