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A store has their shirts 1/4 off the original price and pants are 1/5 off the
original price, and shoes are 1/2 off the original price. If a pair of shoes cost
$60, what is the sales price?*
Your answer

The value of x is 9 cm, and angle O is 0 degrees.

To solve the triangle LMN and find the values of x and angle O, we can use the Law of Cosines and the Law of Sines. Let's go step by step:

(i) To find the value of x, we can use the Law of Cosines. According to the Law of Cosines, in a triangle with sides a, b, and c, and angle C opposite to side c, the following equation holds:

c^2 = a^2 + b^2 - 2ab * cos(C)

In our case, we want to find side NM (x), which is opposite to angle N. The given sides and angles are:

LN = 12 cm

NK = 6 cm

KM = 8 cm

Let's denote angle N as angle C, side LN as side a, side NK as side b, and side KM as side c.

Using the Law of Cosines, we can write the equation for side NM (x):

x^2 = 12^2 + 6^2 - 2 * 12 * 6 * cos(N)

We don't know the value of angle N yet, so we need to find it using the Law of Sines.

(ii) To find angle O, we can use the Law of Sines. According to the Law of Sines, in a triangle with sides a, b, and c, and angles A, B, and C, the following equation holds:

sin(A) / a = sin(B) / b = sin(C) / c

In our case, we know angle N and side NK, and we want to find angle O. Let's denote angle O as angle A and side KM as side b.

We can write the equation for angle O:

sin(O) / 8 = sin(N) / 6

Now, let's solve these equations step by step to find the values of x and angle O.

To find angle N, we can use the Law of Sines:

sin(N) / 12 = sin(180 - N - O) / x

Since we know that the angles in a triangle add up to 180 degrees, we can rewrite the equation:

sin(N) / 12 = sin(O) / x

Now, we can substitute the equation for sin(O) from the Law of Sines into the equation for sin(N):

sin(N) / 12 = (6 / 8) * sin(N) / x

Now, we can solve this equation for x:

x = (12 * 6) / 8 = 9 cm

So, the value of x is 9 cm.

To find angle O, we can substitute the value of x into the equation for sin(O) from the Law of Sines:

sin(O) / 8 = sin(N) / 6

sin(O) / 8 = sin(O) / 9

9 * sin(O) = 8 * sin(O)

sin(O) = 0

This implies that angle O is 0 degrees.

Therefore, the value of x is 9 cm, and angle O is 0 degrees.

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The figure for the given question is provided here :

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

230°

Step-by-step explanation:

Full Circle =360°

\( \frac{23}{36} \times 360 = 230\)

Answer:

22707

Step-by-step explanation:

Camera surveillance is demonstrated in a study of a Monday Night Football Game, where the observer counts the amount of images of cheerleaders on the sidelines. This serves as an illustration of content analysis.

A research technique called content analysis is used to identify the existence of specific words, topics, or concepts in a given set of qualitative data ( like text).

For the stated question-

Thus,  "Content analysis" is demonstrated here.

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The complete question is-

A study of the recording of a Monday Night Football Game in the National Football League in which the observer counts the number of shots of cheerleaders on the sidelines is an example of camera surveillance.

This is an example of  _____.

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

128 ounces

Step-by-step explanation:

One pound is equal to 16 ounces. Therefore, to convert pounds to ounces, you can multiply the number of pounds by 16.

In this case, since you have 8 pounds, you can multiply 8 by 16 to get the number of ounces.

8 x 16 = 128

Therefore, 8 pounds is equal to 128 ounces.

Answer: 128 ounces

Step-by-step explanation: multiply 8 by 16

Answer:

See below ~

Step-by-step explanation:

Given

Solving

Take Equation 1 and rewrite it so that it is equal to x.

Take Equation 2 and rewrite it so that it is equal to z.

Now, substitute these values in Equation 3.

Substitute the value of y in Equation 1.

Substitute the value of y in Equation 2.

Add the values of x, y, and z together.

kendsgkjdbgfz

Step-by-step explanation:

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

126 minutes

Step-by-step explanation:

17.12 - 2 = 15.12

15.12 divided by 0.12 = 126 min

Answer:

Step-by-step explanation:

ABC is a right triangle at C then

m∠C = 90°

m∠A = 90 - m∠B = 90 - 65 = 25°

……………………………

\(\cos \left( 65\right) =\frac{BC}{9}\)

\(\Longrightarrow BC=9\times \cos \left( 65\right) =3.803564355666\)

……………………………

\(\sin \left( 65\right) =\frac{AC}{9}\)

\(\Longrightarrow AC=9\times \sin \left( 65\right) =8.15677008333\)

After adding 5 to both sides what did Michele get? Let's see

\(3x-5 + 5 = -10 + 5\\3x= -5\)

If she wants to find the value of \(x\) then she needs to have only the variable \(x\) on the left hand side. What she must do so that \(3x\) becomes just \(x\)?  What do you have to do to the number 3 so it becomes a 1? That's right, she must divide by 3!

So, after dividing both sides by 3:

\(\frac{3x}{3} = \frac{-10}{3} \\\\\boxed{x=\frac{-10}{3}}\)

Thus, the correct answer is letter B

Answer:

Look up the website for those answers, I've gotten those type of worksheets before.

Step-by-step explanation:

There should be a pdf or document of the answers and if you can't find it I'll help you!

Answer:

idk if this helps but here:

Cutoff points are a crucial piece of calculus and are among the main things that understudies find out about in a calculus class. So, finding the constraint of a capacity implies figuring out what esteem the capacity approaches as it draws nearer and more like a specific point.

Step-by-step explanation:

The magnitude of an earthquake is related to the relative intensity by

magnitude = log(relative intensity).

Magnitude is a measure of earthquake size and remains unchanged with distance from the earthquake. Intensity, however, describes the degree of shaking caused by an earthquake at a given place and decreases with distance from the earthquake epicentre.

A better measure of the size of an earthquake is the amount of energy released by the earthquake, which is related to the Richter Scale by the following equation:

Log E = 11.8 + 1.5 M

(where Log refers to the logarithm to the base 10, E is the energy released in ergs and M the Richter magnitude).

Magnitude is determined from measurements on seismographs. Intensity measures the strength of shaking produced by the earthquake at a certain location. Intensity is determined from effects on people, human structures, and the natural environment.

An earthquake's magnitude is inversely proportional to its relative intensity (magnitude = log) (relative intensity)

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The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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The vertex and axis of symmetry of the parabola is (-2,-3) and x = -2 respectively.(optionA).

An axis of symmetry is a line about which a figure is symmetrical.

A vertex is the maximum or minimum point of a parabola.

The vertex of the parabola can be found from the graph.

The y coordinate of the vertex is -3 and the x coordinate of the vertex is -2

Therefore the vertex of the parabola is (-2,-3).

The axis of symmetry is can also be found from the graph,

The point where the parabola can be divided into two is the axis of symmetry.

The axis of symmetry is x = -2

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Answer:

The answer is -81.

Step-by-step explanation:

Let me know if I got it wrong.

The expression for the perimeter of the frame is 128 inches + 10w.

Width of the mat = 4w

width of the frame = w

Now,

Let the length of the poster be = L

Let the width of the poster = W.

Therefore,  According to the question,

L = 48 inches and W = 16 inches.

The total width of the mat and frame around the poster will be -

= 4w + w

= 5w.

Calculating the perimeter of the frame -

= 2 (L + W + 5w),

= 2 (48 + 16  + 5w)

= 2 (64 + 5w)

= 128 + 10w.

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(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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The distance from point A to point B is approximately 16.64 units. None of the given options (A, B, C, D) match this value exactly, so there seems to be an error in the options provided.

To find the distance from point A to point B, we can use the distance formula in Euclidean geometry. The distance formula between two points (x1, y1) and (x2, y2) is given by:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, point A is (-8, -3) and point B is (6, 6). Plugging these values into the distance formula, we have:

distance = sqrt((6 - (-8))^2 + (6 - (-3))^2)

= sqrt((6 + 8)^2 + (6 + 3)^2)

= sqrt(14^2 + 9^2)

= sqrt(196 + 81)

= sqrt(277)

≈ 16.64

Thus, the distance between points A and B is roughly 16.64 units. Since none of the available options (A, B, C, or D) exactly match this value, there appears to be a problem with the options.

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Answer:

y = 25h + 50

Step-by-step explanation:

Let's say he stayed for two hours.

y = 25(2) + 50

y = 50 + 50

y = 100

a ratio is always a division

We check it by dividing the next number by the previous one

we can continue but is the same number

so the common ratio is -2

Answer: is B 2.65

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

The number of sod grasses needed is about one and half for the clients lawn

1 1/2 sod grasses

Given Data

Area of client's Lawn = Length * Width

= 75*100

= 7500 square feet

Size of large rolls of sod grass

Area of large rolls of sod grass  = Length * Width

= 116*42

= 4872 square feet

The number of sod grass needed

= 7500/4872

= 1.53

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The expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Iris has 120 songs on her playlist. Each week, she downloads 4 new songs.

We can write the expression to show the total number of songs on Iris's playlist after {w} weeks as -

y = 120 + 4w

Therefore, the expression to show the total number of songs on Iris's playlist after {w} weeks is → y = 120 + 4w.

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