Leave your answers in surd form. Tables or calculators are not allowed in this exercise. Find the lengths of the sides marked with letters in each of the following diagrams. All dimensions are in cm.
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Answer:

code is 4163

Step-by-step explanation:

x-35=27;x=64

-96=-8x;x=12

6=x/4 +2;x=16

76-3x=-29; x=31

code is 4163

Answer:

at least 8

Step-by-step explanation:

im from k12

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

A

Step-by-step explanation:

All quadrilaterals have a total of 360° for the interior angles

X = 360 - (125+95+105) = 360 - 325 = 35°

Answer:

x = 0 and 2pi/3

Explanation

Given the expression

cos(2x)=cos(x)

In trigonometry expression;

cos2x = 2xos^2x - 1

Substituting into the equation given;

cos(2x)=cos(x)

2xos^2x - 1 = cos x

Rearrange

2xos^2x - 1 - cosx - 1 = 0

Let P = cosx

2P^2 - P - 1 = 0

Factorize

2P^2 - 2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P+1 = 0 and P-1 = 0

P = -1/2 and 1

Recall that P = cosx

-1/2 = cosx

x = cos^-1(-1/2)

x = 120 degrees = 2pi/3

If P = 1

cosx = 1

x = cos^-1(1)

x = 0

Hence the value of x that satisfies the equation is 0 ad 2pi/3

The number which is lesser than its square is 12/11

When a number is multiplied by itself, the result is a square number. For instance, 25 is a square number as it is composed of 5 lots of 5, or 5 × 5. 

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value, because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The numbers are

9/10 , 12/11 , 15/16 and 13/13

The squares are

81/100, 144,121, 225/256, 1

here

81/100 < 9/10 abd

225/256 < 15/16

144/121 > 12/11

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The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

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Answer:

20x^5

Step-by-step explanation:

You can multiply the coefficients, 4 and 5, to get 20

Then multiply the exponents, x^3 and x^2, to get x^5

Note: When you multiply exponents, you add their powers.

Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).

A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let

\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)

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The scientific method is a systematic set of method that scientists follow to gain information. we will explore how the scientific method is used in the study of nutrition.

To make the things simple, you might want to think of the scientific method as a pro way to ask questions and find answers. With this in mind, it makes sense that the stride of the scientific method starts when researchers ask questions.

For example, a research scientist might awe whether people who eat an apple a day visit their family doctor hardly times a year than those who do not eat apples.

The scientific method is a nice tool for analyzing nutrition. It has been used to set nutrition advice, understand how nutrients support health and learn how nutrition supports athletic account.

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The first player using Xs does indeed have a strategy to always win by placing an X in the Middle right box.

When the first player places an X in the middle right spot, the second player will have to place an O in two places to avoid the first player winning.

They would have to place an O in the middle left space and in the bottom right space. Seeing as they can't place an O in two boxes at once, the first player will be able to place an X in the empty box out of the two, and win.

In conclusion, there is a winning strategy.

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Step-by-step explanation:

The first player has two possible winning moves.

Regardles the next move the first player has one of the two options next: middle left or bottom right box

Regardles the next move the first player has one of the two options next: middle right or top left box

The equation of the hyperbola x²/36 = 1. The equation of a horizontal line passing through (±6,0).

The resulting curve of a hyperbola consists of two separate branches that are mirror images of each other, and they are characterized by their asymptotes, which are straight lines that the curve approaches but never touches. The asymptotes intersect at the center of the hyperbola, which is also the point where the two branches are closest together.

Since the foci of the hyperbola are at (0,-6) and (0,6), and the transverse axis is vertical, the center of the hyperbola is at the midpoint of the foci, which is the point (0,0).

Also, since the asymptote of the hyperbola is the line y = -x, we know that the slopes of the asymptotes are ±1, and since the transverse axis is vertical, the slope of the transverse axis is 0. Therefore, we have a hyperbola with center (0,0), vertical transverse axis, and asymptotes y = x and y = -x.

The standard form of the equation for a hyperbola with center (0,0), transverse axis of length 2a, and asymptotes y = ±(a/x) is:

x²/a² - y²/b² = 1

where b² = a² - c², where c is the distance from the center to each focus.

In this case, since the distance between the foci is 12, we have:

c = 6

Also, since the transverse axis is vertical and the distance from the center to each vertex is a, we have:

a = distance from center to vertex = 6

Therefore, we have:

b² = a² - c² = 36 - 36 = 0

So the equation of the hyperbola is:

x²/36 - y²/0 = 1

Simplifying, we get:

x²/36 = 1

or

x² = 36

This is the equation of a horizontal line passing through (±6,0).

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Matrix A is invertible such that A⁻¹ = - A - 3I. This is solved using the Calely Hamilton Theorem.

This theorem says that every square matrix satisfies its own characteristic equation. In other words, the scalar polynomial

p(λ) = det(λI − σ) also holds for the stress polynomial p(σ).

It also states that The roots λ₁, λ₂........λₙ of a typical equation (aₙλₙ + aₙ₋₁ λⁿ⁻¹ + ...... a₁ λ + a₀)  will indicate the nature of the Matrix A. If either of the roots of the attributes equation is 0, the matrix's determinant becomes zero. As a result, the matrix is non-invertible.

Based on the above, we know that Matrix A fulfills the qualities below::

A²+3A + I = 0

Since every square matrix fulfills its own characteristic

λ₁ + λ₂ = -3

λ₁ x λ₂ = 1 ≠ 0

This is true for any order of a square matrix. That is:
λ₁ x λ₂ x λ₃ x........ x λₙ ≠ 0

Thus

|A| = λ₁ x λ₂ x λ₃ x........ x λₙ

|A| ≠ 0 → Invertibel Matrix

A² + 3A + I = 0
I = -A² - 3A
A⁻¹ x I = A⁻¹ (-A - 3A); hence

A⁻¹ = - A - 3I

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Solution in da attachment!! :)

The correct option is B. The students knew whether or not music was playing while they were taking the exam

Given,

The class was split into two groups.

The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.

In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.

In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.

However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.

Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.

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Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Answer:

1. Gender - qualitative

2. Age - Quantitative (Discrete)

3. Grade point Average - quantitative (Continuous )

4. Number of courses currently enrolled - quantitative (discreet)

5. Enrollment Status - qualitative

Step-by-step explanation:

Qualitative variables are those which are non-numeric, usually made up of strings or words. The quantitative variables are numeric, usually composed of digits and numbers.

Discreet variables have a finite or limited number of values which are countable as opposed to continuous variables with a non-finite range and hence, uncountable.

Gender is a qualitative variable as it is composed of non-nemeric labels which could be either Male or Female.

Age - is numeric and hence quantitative, since age is usually expressed in years, hence it is discreet.

Grade point Average is a quantitative and continuous variable due to its numeric nature and the fact that it can take up an infinite number of possible values including decimal values.

Number of courses enrolled is numeric can take a finite number of values, hence, it is discreet.

Enrollment status is qualitative as it is split into :

Part time or full time.

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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If 114 kids were seated in the stall, just 21% of the seats were filled.

If 117 youngsters were seated in the circles, then yes, more than 60% of the seats were filled.

A third of the kids were seated in the stalls.

if there are 117 kids who can fit in the stalls.

Given that 3/4 of the children had chairs in the stall and x children, we have:

3/4*x = 3/4x.

There were 117 kids in the 3/4 portion.

= 3/4 of x = 117

= 3x/4 = 117

3x =117 x 4

3x = 468

x = 156 kids overall.

39 kids sat in the circle, compared to 117 in the stalls.

The number of adults to children was 5:2, which equals 5+2 to 7.

Use the ratio of children to represent as y and the total number of individuals to determine. So, here we are

2/7 of y = 156

2y/7 = 156

2y = 156x7

2y= 1092

y = 546

In all, 546 persons are present, and 546 of the 2600 seats are occupied by them. We now have:

546 / 2600 = 0.21 = 21%.

If there were 117 kids in the circle, there would be 117 x 4 = 468 kids (total number of children)

Consequently, considering the ratio: 2/7 of y = 468 = 2y = 468x7

2y = 3276

y= 1,638

There are therefore 1,638 individuals present in all, and 1,638 of the 2600 seats are occupied by them. We now have:

1638 / 2600 = 0.63 = 63%.

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Answer:

67 minutes

or

1 hour and 7 minutes

Step-by-step explanation:

mark branliest

and if you need help just ask

Refer to the images attached. Edit: I realized after uploading this answer that the integral in terms of y is MUCH easier, so I attached that as well :) But at least you know it can be done both ways!

Answer:

A. Inscribed Angle

Step-by-step explanation:

Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!

The missing information in the paragraph proof should be considered as the Inscribed Angle.

In terms of geometry, an inscribed angle should be the angle that should be created in the interior of a circle at the time when two chords intersect on the circle. Since the angles should be inscribed in the circle so here the angles should be added up to the 360 degrees same as like the circle also at the same time it should make the quadrilateral

Therefore, The missing information in the paragraph proof should be considered as the Inscribed Angle.

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Tamara should expect the sum of the two cubes to be equal to 7 around 30 times when rolling the two number cubes 180 times.

To determine how many times Tamara should expect the sum of the two number cubes to be equal to a certain value, we need to analyze the chart and calculate the probabilities.

Let's examine the chart and count the number of times each sum occurs:

Sum: 2, Occurrences: 1

Sum: 3, Occurrences: 2

Sum: 4, Occurrences: 3

Sum: 5, Occurrences: 4

Sum: 6, Occurrences: 5

Sum: 7, Occurrences: 6

Sum: 8, Occurrences: 5

Sum: 9, Occurrences: 4

Sum: 10, Occurrences: 3

Sum: 11, Occurrences: 2

Sum: 12, Occurrences: 1

Now, let's calculate the probabilities of each sum occurring.

Since there are 36 possible combinations when rolling two number cubes, the probability of each sum is the number of occurrences divided by 36:

Probability of sum 2 = 1/36

Probability of sum 3 = 2/36

Probability of sum 4 = 3/36

Probability of sum 5 = 4/36

Probability of sum 6 = 5/36

Probability of sum 7 = 6/36

Probability of sum 8 = 5/36

Probability of sum 9 = 4/36

Probability of sum 10 = 3/36

Probability of sum 11 = 2/36

Probability of sum 12 = 1/36

To find out how many times Tamara should expect a certain sum when rolling the two number cubes 180 times, we can multiply the probability of that sum by 180.

For example, to find the expected number of times the sum is 7:

Expected occurrences of sum 7 = (6/36) \(\times\) 180 = 30

Similarly, we can calculate the expected occurrences for all other sums.

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The area of this rectangular walk is 390\(ft^{2}\)

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.

Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390\(ft^{2}\)

In conclusion the area of the walk is 390\(ft^{2}\)

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Answer:

  x = 3

Step-by-step explanation:

Maybe you want the value of x such that ...

  4(6^x) = 864

Dividing by 4 gives ...

  6^x = 216

You may know that 216 = 6^3. Using that, we can equate exponents:

  6^x = 6^3

  x = 3

Alternatively, we can use logarithms to find x. Taking logs gives ...

  x·log(6) = log(216)

  x = log(216)/log(6) = 3

Answer:

49z^10 dm^2

Step-by-step explanation:

Answer:

q= -40p+c

q= -40p+4,000

Step-by-step explanation:

$5 each for 3800 tye-dye shower curtains

$10 each for 3600 tye-dye shower curtains

Slope of the demand line is

3800-3600/5-10

=200/-5

= -40

Demand function is

q= -40p + c

Where c is a constant

For q=3800 and p=$5

Demand function is

q= -40p + c

3800= -40(5)+c

3800= -200+c

c=3800+200

c=4,000

Linear demand function is

q= -40p+4,000