Can someone solve this so that i can confirm that I’m doing it right?

When the diagonal of a rectangle splits the rectangle into two producing angles 30 - 60 - 90 the sides of the rectangle is

Area of a rectangle is solved to get 191 square in

The problem is solved using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The shape describes a right triangle of

opposite = width

adjacent = length

hypotenuse = diagonal

The dimensions are calculated using SOH and CAH

sin 30 = opposite / hypotenuse

sin 30 = width / 21

width = 21 * sin 30

width = 10.5

For the length

cos 30 = adjacent / hypotenuse

cos 30 = length / 21

length = 21 * sin 30

length = 18.19

Area of a rectangle = length * width

Area of a rectangle = 18.19 * 10.5

Area of a rectangle = 190. 995

Area of a rectangle = 191 square in

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Roller staking is more popular because it has a higher amount of results.

The percentage of 8th graders that want to go to the water is 70%

The relative frequency of an event is the proportion of the total no. of a result under which a defined event occurred with respect to the whole actual event.

So, from the given table:

\(\mathbf{\implies \dfrac{x}{100}\times 0.20 = 0.14}\)

\(\mathbf{\implies0.20x = 14}\)

\(\mathbf{\implies x = 70\%}\)

c.

There is an association between the grade level and the field trip, this is because as the grade level increases, the field trip decreases.

d.

If the trend continues, the 9th graders will prefer the water slides to the roller skating, this is because the proportion of the water slides is more than the roller skating down the trend.

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Answer:

36 in

Step-by-step explanation:

Brainliest

Answer:

36 in

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

84/100 = x/125

x = 105 points

The Laplace transform of the given function f(t) = {2t, 2, 0 ≤ t < π/2, π/2 ≤ t < ∞} is L{f(t)} = 2 / s^2 + 2, where s is the complex variable used in the Laplace transform.

To find the Laplace transform of the given function f(t) = {2t, 2, 0 ≤ t < π/2, π/2 ≤ t < ∞}, we need to split the function into two separate intervals and apply the Laplace transform to each interval.

For the interval 0 ≤ t < π/2, the function is 2t. The Laplace transform of 2t can be found using the formula:

L{t^n} = n! / s^(n+1)

In this case, n = 1, so we have:

L{2t} = 2 / s^2

For the interval π/2 ≤ t < ∞, the function is 2. The Laplace transform of a constant function is simply the constant itself, so we have:L{2} = 2

Now, combining the Laplace transforms of both intervals, we get:

L{f(t)} = L{2t} for 0 ≤ t < π/2 + L{2} for π/2 ≤ t < ∞

L{f(t)} = 2 / s^2 + 2

Therefore, the Laplace transform of the given function f(t) is L{f(t)} = 2 / s^2 + 2.

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The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction

5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East

When we add these distances together, we get:

5 + 6 + 6 + 7 + 4 = 28

Therefore, the person has walked a total of 28 miles.

In more detail, let's break down the distances walked in each direction:

- 5 miles East: This means the person walked 5 miles in the East direction.

- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.

- 6 miles South: This means the person walked 6 miles in the South direction.

- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.

- 4 miles East: This means the person walked 4 miles in the East direction.

By adding up these distances, we find that the person has walked a total of 28 miles.

#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles

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Explanation:

We can rule out "theoretical probability" since that concept deals with doing the math on paper, rather than getting out an actual deck of cards to compute the probability. If your teacher stated "the probability of drawing an ace is 1/13", then s/he would be using theoretical probability. We have a 1 in 13 chance to theoretically pick an ace out of all 52 cards since 4/52 = 1/13. No cards are needed to do such calculations. But if you actually pull out a deck of cards and randomly select them, then you'd be leaning toward empirical or experimental probability.

So in short, we can rule out choice B.

We can also rule out "complement" since the two situations of "drawing a 4" and "drawing a 10" aren't opposite. If it said something like "drawing a red card or drawing a black card", then those two events are opposite. The two events fully compose all the deck of cards (sample space). You either will draw a red one, or a black one, but not both colors at the same time.

So we're down to the answer being either A) outcome or D) event. At first glance, these two terms seem almost identical. However, they mean slightly different things.

Let's pick apart what each of those terms mean.

----------------

The outcome is the result of an event. An event is some specific action that you may or may not want to happen, and it's usually phrased within the parameters your teacher set up.

For example, we can define the event "it rains outside". So we're setting up the specific action of raining. Whether we want it or not doesn't really matter. The outcome would be the actual result of if the event happens or not. So if it does truly rain on day 1, then the outcome "rain" is what is recorded for day 1. Then if its dry on day 2, then "no rain" is the outcome for that second day. And so on.

Going back to the cards, one event could be set up as "selecting a heart card" with the outcome being "selected a 4 of hearts". The event is the rule set up and the outcome is the result we observe. To compute the empirical or experimental probability, we divide the number of times we get a specific event to occur over the total number of possible

---------------

Let's look at another example.

We'll roll a single die that has 6 faces on it. The set of possible outcomes are {1,2,3,4,5,6}. Only one outcome is possible per roll.

If we roll the die and it lands on 5, then the outcome is 5. This is the final result of the trial or experiment.

We can define an event like "A = rolling an even number", and then ask the question "what is the probability event A occurs?" In other words, we would be asking "what is the probability of rolling an even number?"

---------------

I suppose now that I think about it, we can state,

as a loose way of telling the difference between the two terms.

Ultimately, the observations of getting a 4 of hearts and 10 of diamonds are considered an outcome.

The answer is what you got

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

Each interior angle of a regular dodecagon measures 150 degrees.

To find the measure of each interior angle of a regular dodecagon, we can use the formula:

Interior angle = (n-2) x 180° / n

where n is the number of sides of the polygon.

For a regular dodecagon, n = 12. Plugging this into the formula, we get:

Interior angle = (12-2) x 180° / 12
Interior angle = 10 x 180° / 12
Interior angle = 150°

Therefore, each interior angle of a regular dodecagon measures 150 degrees.

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Answer:

E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

The horse has a probability of 1/20 of coming in first place,

a probability of 1/10 of coming in second place,

and a probability of 1/3 of coming in third place.

Given that the first place pays $4800 to the winner,

second place $3200,

and third place $1500.

we need to find whether it is worth entering the race if it costs $1000.

Let E be the net profit in the race,

which is calculated as the difference between the total earnings and the cost of entering the race,

i.e., E = Total earnings - Cost of entering the race

Given, The probability of the horse coming in first place = 1/20

The probability of the horse coming in second place = 1/10

The probability of the horse coming in third place = 1/3

Now,

Let us calculate the expected value of the earnings, E(X).

E(X) = (1/20) x 4800 + (1/10) x 3200 + (1/3) x 1500

      = 240 + 320 + 500

      = $1060

Therefore, E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

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Answer:

0.00578034682

Step-by-step explanation:

9/1557

keep on adding .0 to the end of your number.

You will eventually get the answer.

Answer:

173.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

455=94x22^2/r

455=94x484/r

455=45496/r

0.01=1/r

100=r

To transform one side of the equation (CSC (θ) + cot(θ)) (csc(θ) - cot(θ)) into csc²(θ) – 1, we can use trigonometric identities. The identity cot(θ) = 1/tan(θ) will be used to express cot(θ) in terms of sin(θ) and cos(θ).

Rewrite cot(θ) in terms of sin(θ) and cos(θ):

cot(θ) = 1/tan(θ) = 1/(sin(θ)/cos(θ)) = cos(θ)/sin(θ)

Expand the equation (csc(θ) + cot(θ)) (csc(θ) - cot(θ)):

(csc(θ) + cot(θ)) (csc(θ) - cot(θ)) = csc²(θ) - cot²(θ)

Substitute the expression for cot(θ):

csc²(θ) - cot²(θ) = csc²(θ) - (cos(θ)/sin(θ))²

Apply the Pythagorean identity sin²(θ) + cos²(θ) = 1:

csc²(θ) - (cos(θ)/sin(θ))² = csc²(θ) - cos²(θ)/sin²(θ)

Rewrite csc²(θ) in terms of sin(θ):

csc²(θ) - cos²(θ)/sin²(θ) = 1/sin²(θ) - cos²(θ)/sin²(θ)

Combine the fractions with a common denominator:

1/sin²(θ) - cos²(θ)/sin²(θ) = (1 - cos²(θ))/sin²(θ)

Use the Pythagorean identity sin²(θ) = 1 - cos²(θ):

(1 - cos²(θ))/sin²(θ) = sin²(θ)/sin²(θ)

Simplify the expression:

sin²(θ)/sin²(θ) = 1

Therefore, the transformed equation is csc(θ) + cot(θ) (csc(θ) - cot(θ)) = csc²(θ) – 1, and cot(θ) is equal to 1.

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The process X(t) = Acos(wt + 0), where A is uniformly distributed between 0 and 2, is not wide-sense stationary.

For a process to be considered wide-sense stationary, its mean and autocovariance should be time-invariant. Let's analyze the given process, X(t) = Acos(wt + 0), where A is a random variable uniformly distributed between 0 and 2, w is a constant, t is the time, and 0 is a constant phase angle. The mean of this process is E[X(t)] = E[Acos(wt + 0)]. Since A is uniformly distributed, the mean of A is nonzero, which means the mean of X(t) will depend on time, violating the time-invariance condition for wide-sense stationarity.

Similarly, to check the autocovariance, we need to evaluate Cov(X(t1), X(t2)) for any two time points t1 and t2. Using the cosine double-angle identity, we can expand the expression Cov(X(t1), X(t2)) = Cov(Acos(wt1 + 0), Acos(wt2 + 0)). This covariance expression involves cross-terms with cosines of different frequencies, making it time-dependent. Therefore, the autocovariance of X(t) also depends on the time, violating the time-invariance condition for wide-sense stationarity. Hence, the process X(t) = Acos(wt + 0) is not wide-sense stationary.

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Answer:

El número obtenido es:

Step-by-step explanation:

Vamos a escoger tres números sencillos para cada variable como:

Por lo tanto, nuestro número de tres cifras es:

Ahora, nos dice que invirtamos los números a1 y c1, por lo tanto, nuestro nuevo número de tres cifras sería:

A continuación, nos menciona que restemos el menor del mayor, en este caso, nuestro número menor es 123 y el mayor es 321, por lo tanto:

Como obtuvimos el número 198, se podría decir que:

Ahora nos piden que invirtamos a2 y c2, por lo tanto nuestro nuevo número sería:

Y por último, nos solicita que sumemos los dos últimos números obtenidos, entonces tenemos:

Por lo tanto, el número obtenido al final es 1089, el cual obtendrás sin importar qué número de tres cifras elijas al inicio, siempre y cuando no se repitan el primero y el tercer dígito.

We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

Answer:

B. 230

Step-by-step explanation:

The formula is 2(wl+hl+hw).

Use this formula for every rectangular prism.

Answer:

F. Isosceles

Step-by-step explanation:

The given triangle has two side lengths in equal measurement and so the two angles would be equal

Answer:

2/3

Step-by-step explanation:

there's 6 total and 4 numbers less than 8 so probability is 4/6 simplify and u get

2/3

Answer:

(3x-1)

Step-by-step explanation:

(12x²+11x-5) ÷ (4x+5) = (3x-1)

Answer:

(3x - 1)

Step-by-step explanation:

ax^2 + bx + c

rewrite middle term as two sums whose product is a x c

12x^2 + 11x - 5

12x^2 - 4x + 15x - 5

-4 * 15 = 12 * -5

Factor out greatest common factor

4x(3x - 1) + 5x(3x - 1)

Factor polynomial

(3x - 1)(4x + 5)

Answer:  26∗34 2 6 ∗ 3 4

Step-by-step explanation:

Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2

Quadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:

3x^2=7x+2

Equate to zero to have:

3x² - 7x + 2 = 0

Factorize

3x² - 6x - x +2 = 0

3x(x-2) - 1(x- 2) = 0

Group

(3x-1)(x-2) = 0

3x - 1 = 0 and x - 2 = 0

Determine the values of x

3x = 1 and x = 2

x = 1/3 and 2

Hence the solution to the given quadratic equation are 1/3 and 2

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Smallest integer a = -1.

We need to find the smallest integer a such that the intermediate value theorem guarantees that f(x) has a zero on the interval (−2,a).

f(x) = -x² - 2x - 1

We need to find the value of 'a'.

To find that we need to apply the intermediate value theorem .To apply intermediate value theorem, we need to check if the function changes sign in the given interval, i.e., if f(-2) and f(a) are of opposite signs. If they are of opposite signs, the function changes sign and there exists at least one root in the interval. We have:

f(x) = -x² - 2x - 1f(-2) = -(-2)² - 2(-2) - 1 = -3f(a) = -a² - 2a - 1

Now we need to find the value of 'a' such that f(-2) and f(a) are of opposite signs.

Substituting a = -1 in f(a), we have:

f(-1) = -(-1)² - 2(-1) - 1 = -2

This means f(-2) and f(-1) are of opposite signs. Hence, there exists a value of 'a' in (-2, -1) such that f(x) has a zero. Therefore, the smallest integer a such that the intermediate value theorem guarantees that f(x) has a zero on the interval (−2,a) is -1.

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Bar charts or bar graphs are generally small and show simple trends rather than all the details regarding the horizontal and vertical axes that you would expect on a normal graph.

Bar charts are a type of data visualization that represent categorical data using rectangular bars. Each bar represents a specific category, and the length or height of the bar corresponds to the value or frequency of that category.
Here's how you can create a bar chart:
1. Identify the categories or variables you want to compare. For example, if you want to compare the sales of different products, the categories would be the product names.
2. Determine the scale for the horizontal and vertical axes. The horizontal axis typically represents the categories, while the vertical axis represents the values or frequencies. The scale should be appropriate to fit the data without cutting off any bars.
3. Draw a horizontal line for the x-axis and a vertical line for the y-axis.
4. Mark the categories along the x-axis. You can use labels or tick marks to indicate each category.
5. Mark the values or frequencies along the y-axis. Again, you can use labels or tick marks depending on the range of values.
6. Draw bars for each category. The length or height of each bar corresponds to the value or frequency of that category. You can use rectangles or vertical lines to represent the bars.
7. Label the bars if necessary to provide additional information or clarity.

Bar charts are often used to compare discrete data or categories, such as sales by product, population by country, or survey responses by option. They are easy to read and interpret, making them a popular choice for visualizing data in a simple and straightforward way. However, bar charts may not provide the same level of detail as other types of graphs, such as line graphs or scatter plots.

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Based on the information provided, the hydrocarbon that fits these criteria is likely to be octane, with a molecular formula of C8H18. The molecular ion with an m/z value of 128 indicates that the molecule has lost one electron, resulting in a positive charge.

The base peak with an m/z value of 43 is likely due to the fragmentation of a methyl group (CH3) from the parent molecule. The significant peaks with m/z values of 57, 71, and 85 may correspond to other fragment ions resulting from the breakdown of the octane molecule.
Based on the given m/z values, the hydrocarbon you are looking for has a molecular ion with an m/z value of 128, a base peak with an m/z value of 43, and significant peaks with m/z values of 57, 71, and 85. The hydrocarbon is likely an alkane, alkene, or alkyne. To determine the exact compound, further information such as the chemical formula or structure would be needed.

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Answer:

Yes

Step-by-step explanation:

upon graphing it, I discovered that it made a straight line

X-intercept: 0.5

Y-intercept: -2