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?

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°.

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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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

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

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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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.

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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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

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

Answer:

ill answer

Step-by-step explanation:

but what is the question please make me brillianist

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

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

- 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 :

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

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].

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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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!

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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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

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

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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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

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

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

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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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:

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

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.

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! :)

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

Answer:

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

Solve for 'm'

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

          10m - p = -n

                  10m = -n + p

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

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

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

Check the picture below.

Answer:

A. 55

Step-by-step explanation:

Answer:

24 is the length of segment XZ

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! :)

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

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

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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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°

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:

From inspection of the triangle:

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]