what’s and easy way to do right angle trig like any tips or tricks? im struggling it’s my last test of the year

Step-by-step explanation:

step 1. let's call the line in the middle y.

step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.

step 3. x^2 + y^2 =100 (pythagorean theorem))

step 4. x^2 + (sqrt(74))^2 = 100.

step 5. x^2 = 100 - 74

step 6. x^2 = 26

step 7. x = sqrt(26). note: sqrt is the square root.

The value of the x is \(\sqrt{26}\).

To understand more, check below explanation.

Apply Pythagoras theorem in right side triangle,

            Hypotenuse\(=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}\)

Now apply Pythagoras theorem in the left side triangle,

              \(Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}\)

Hence, the value of the x is \(\sqrt{26}\).

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The quadratic equation that gives the area, "a," of a rectangle in square feet given its width, "w," in feet is **A = w^2**, where A represents the area and w represents the width.

In a rectangle, the area is given by the product of its length and width. Since we are specifically interested in finding the equation for the area in terms of the width, we can let the length be a constant value or represent it in terms of the width.

Let's assume the length is a constant value, L. Then, the area of the rectangle, A, can be expressed as A = Lw.

However, if we consider the rectangle to be a square (where the length is equal to the width), we have a special case where L = w. In this case, the equation for the area simplifies to A = w^2.

Therefore, the quadratic equation A = w^2 represents the area of a rectangle in square feet given its width in feet. This equation indicates that the area is directly proportional to the square of the width.

For example, if the width of the rectangle is 5 feet, we can substitute w = 5 into the equation: A = 5^2 = 25 square feet. This means that the area of the rectangle would be 25 square feet when the width is 5 feet.

It's important to note that the equation A = w^2 assumes that the width and length of the rectangle are measured in the same unit (feet in this case). If the width is measured in a different unit, such as inches or meters, the equation would need to be adjusted accordingly to maintain consistent units.

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For the given curve, the line element is

\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2} \, dt = \sqrt{9t^4 + 16t^6} \, dt\)

since

\(x = t^3 \implies \dfrac{dx}{dt} = 3t^2\)

\(y = t^4 \implies \dfrac{dy}{dt} = 4t^3\)

Then the line integral is

\(\displaystyle \int_C \frac xy \, ds = \int_1^2 \frac{t^3}{t^4} \, ds = \int_1^2 \frac{\sqrt{9t^4+16t^6}}t \, dt\)

Simplify the integrand to

\(\displaystyle \int_1^2 t \sqrt{9 + 16t^2} \, dt\)

and substitute

\(u = 9 + 16t^2 \implies du = 32t \, dt\)

Then the integral is

\(\displaystyle \int_1^2 t \sqrt{9+16t^2} \, dt = \frac1{32} \int_{25}^{73} \sqrt{u} \, du = \frac{73^{\frac32} - 25^{\frac32}}{48} = \boxed{\frac{73\sqrt{73} - 125}{48}}\)

Answer:

B) {0}

Step-by-step explanation:

\(8 + 4p = 8(1 + 8p) + 8p\\\\\mathrm{Expand}\:8\left(1+8p\right):\quad 8+64p\\8+4p=8+64p+8p\\\\\mathrm{Add\:similar\:elements:}\:64p+8p=72p\\8+4p=8+72p\\\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\\8+4p-8=8+72p-8\\\\Simplify\\4p=72p\\\\\mathrm{Subtract\:}72p\mathrm{\:from\:both\:sides}\\4p-72p=72p-72p\\\\Simplify\\-68p=0\\\\\mathrm{Divide\:both\:sides\:by\:}-68\\\frac{-68p}{-68}=\frac{0}{-68}\\\\Simplify\\p=0\)

Answer:

I believe the answer is 0

Step-by-step explanation:

I am not sure I did not get any of the listed answers when done by hand but on a calculator to answer is closest to zero. hope this helps

I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.

To calculate the amount received by each investor in each year, we need to follow these steps:

Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.

Year 1: 0 - (-78,000) = 78,000

Year 2: 0 - (-23,000) = 23,000

Year 3: 29,000

Year 4: 63,000

Year 5: 103,500

Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.

Year 1: 0.6 * 78,000 = 46,800

Year 2: 0.6 * 23,000 = 13,800

Year 3: 0.6 * 29,000 = 17,400

Year 4: 0.6 * 63,000 = 37,800

Year 5: 0.6 * 103,500 = 62,100

Calculate the profit share for each investor based on their respective share of the investment.

Year 1:

Fahad: (30/100) * 46,800

Yashara: (50/100) * 46,800

Saud: (20/100) * 46,800

Fariha: (40/100) * 46,800

Younus: (25/100) * 46,800

Asif: (35/100) * 46,800

Similarly, calculate the profit share for each investor in the remaining years using the same formula.

By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.

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Answer:

The arc length is 185.39 meters.

Step-by-step explanation:

The arc length is calculated by the following expression:

\(\Delta s = \Delta \theta \cdot r\)

Where:

\(r\) - Radius, measured in meters.

\(\Delta \theta\) - Central angle, measured in radians.

If \(r = 36.9\,m\) and \(\Delta \theta =\frac{8}{5}\pi\, rad\), the arc length, measured in meters, is:

\(\Delta s = \frac{8}{5}\pi\cdot (36.9\,m)\)

\(\Delta s = \frac{8}{5}\cdot (3.14)\cdot (36.9\,m)\)

\(\Delta s \approx 185.386\,m\)

\(\Delta s \approx 185.39\,m\)

The arc length is 185.39 meters.

Hello! First, let's remember what is Associative Property:

It is a mathematical rule who says that the order of the factors doesn't change the final result of a calculus.

We have the associative property in two mathematical operations, I'll show you some examples:

If we want to sum three numbers, 5, 10 and 15, how is the right way? We have some ways to do it:

(5+10)+15 = (15)+15 = 30

(5+15)+10 = (20)+10 = 30

5+(10+15) = 5+(25) = 30

So, no matter the order of the numbers, we will always get the same result.

An example with the other operation now:

If we want to multiply three numbers, 2, 3 and 5:

(2*3)*5 = (6)*5 = 30

(2*5)*3 = (10)*3 = 30

2*(3*5) = 2*(15) = 30

Also, no matter the order of the factors, we'll always obtain the same result.

However, in the subtraction and in the division we have to follow the right order, according to the precedence, so we can't use the Associative Property on these operations.

Right answer: C and D.

Option D) is correct. The equation representing the above sequence is   f(x) = f(x-1) - 6.

According to the question we have been the sequence

                             2, -4, -10, -16,.......

Here,  a₁ = 2                        a₃ = -10

        a₂ = -4                        a₄ = -16

Thus, difference between the first two terms is:

         d = a₂ - a₁

            = -4 - 2 = -6

Similarly difference between the second third term is :

            d = a₃ - a₂ = -10 - (-4) = -10 + 4 = -6

We will see that the difference between the terms is constant that is

                    d = -6

We know that ,   aₙ = aₙ₋₁ + d

putting the value of d in the above formula we get

     aₙ = aₙ₋₁ + (-6)

     aₙ = aₙ₋₁ -6

Also can be written as :

  f(x) = f(x-1) - 6

That is option D) is correct. The equation representing the above sequence is   f(x) = f(x-1) - 6.

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Answer:

x=125    y=130

Step-by-step explanation:

I believe if you add 50+75 you get x

50+75=125

And if you subtract 180 from 50 you get y

180-50= 130

The reason being is because the two numbers inside the triangle add up to the number outside of the triangle "x". Then you would subtract 180 from 50 because that is a supplementary angle meaning it adds up to 180 to get the number on the outside of the triangle "y".

Hope this helped!

Answer:

f(-3) = -42

Step-by-step explanation:

Substitute X in the function definition:

f(-3) = -(-3)² + 5(-3) - 18
f(-3) = -9 - 15 - 18
f(-3) = -42

Here's an example implementation of the BonusTooLowException class, designed to be thrown when a bonus value is less than $2000.

We can also create an Executive class that demonstrates how to use this exception.

public class BonusTooLowException extends Exception {

   public BonusTooLowException(String message) {

       super(message);

   }

}

public class Executive {

   private String name;

   private double bonus;

   public Executive(String name, double bonus) throws BonusTooLowException {

       this.name = name;

       if (bonus < 2000) {

           throw new BonusTooLowException("Bonus amount is too low. Minimum bonus is $2000.");

       }

       this.bonus = bonus;

   }

   public void printDetails() {

       System.out.println("Name: " + name);

       System.out.println("Bonus: $" + bonus);

   }

   public static void main(String[] args) {

       try {

           Executive exec = new Executive("John Doe", 1500);

           exec.printDetails();

       } catch (BonusTooLowException e) {

           System.out.println("Error: " + e.getMessage());

       }

   }

}

In this example, the BonusTooLowException class extends the Exception class, allowing it to be thrown as a checked exception. The Executive class has a constructor that accepts a name and a bonus amount. If the bonus is less than $2000, a BonusTooLowException is thrown. Otherwise, the Executive object is created successfully.

In the main method, we create an Executive object with a bonus amount of $1500, which triggers the BonusTooLowException. We catch the exception and print an error message.

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Answer:

\( \frac{a - 3}{a + 2} \)

Step-by-step explanation:

\( \frac{ {a}^{2} - 7a + 12 }{ {a}^{2} - 2a - 8} = \frac{(a - 3)(a - 4)}{(a + 2)(a - 4)} = \frac{a - 3}{a + 2} \)

The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Let's assume all blocks that exist in shape are square with dimension units or one.

Now the area of the square is given as ;

A = Side² = 1² = 1

Since the number of squares in 20 is 5

So,

A = 5 unit²

The number of squares in 21 is also 5

So,

A = 5 unit²

Now,

The perimeter of the square as given;

P = 4× side

Since side in 20 are 16 so 16 units.

The side in 21 is 15 so 15 units.

Hence "The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units".

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Answer:

it is 7 i think

Step-by-step explanation:

The figure consists of a rectangle and 2 right triangles, as shown in the diagram below

The areas of a rectangle and a triangle are given by the following formulas

In our case,

Thus,

The total area is 150mm^2

First, let's list all the possible arrangements of the digits 2, 4, and 6 with a decimal point between two digits: - 2.4.6
- 2.6.4
- 4.2.6
- 4.6.2
- 6.2.4
- 6.4.2

Now, we need to find the sum of every number less than 4.4 than grogg writes. This means we need to add up all the numbers that are less than 4.4 and are also less than each of the six numbers on our list.

Let's start with the first number on our list, 2.4.6. The numbers that are less than 4.4 and less than 2.4.6 are:

- 2.4
- 2.6

So we add those two numbers together:  2.4 + 2.6 = 5, That's the sum for the first number on our list. Now we can repeat this process for each of the other five numbers on our list, and add up all the sums at the end. For 2.6.4, the numbers less than 4.4 and less than 2.6.4 are: - 2.6 .

So the sum for 2.6.4 is:  2.6, For 4.2.6, the numbers less than 4.4 and less than 4.2.6 are:
- 4.2
- 4.6, So the sum for 4.2.6 is: 4.2 + 4.6 = 8.8, For 4.6.2, the numbers less than 4.4 and less than 4.6.2 are:
- 4.2
- 4.6

So the sum for 4.6.2 is:
4.2 + 4.6 = 8.8

For 6.2.4, the numbers less than 4.4 and less than 6.2.4 are:

- None

There are no numbers less than 4.4 and less than 6.2.4, so the sum for 6.2.4 is 0.
Finally, for 6.4.2, the numbers less than 4.4 and less than 6.4.2 are:
- None

Again, there are no numbers less than 4.4 and less than 6.4.2, so the sum for 6.4.2 is 0.
Now we can add up all the sums:  5 + 2.6 + 8.8 + 8.8 + 0 + 0 = 25.2

So the sum of every number less than 4.4 than grogg writes is 25.2.

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The distance between the point P and the line ℓ is 24 / √(74) units.

To find the distance between a point P and a line ℓ, we need to use the coordinates of both the point and the line. In this case, we have the coordinates of the point P, which is (−1, 1), and two points on the line ℓ, which are (11, −1) and (−3, −11).

The first step is to find the equation of the line ℓ. We can use the two points on the line to find the slope of the line, which is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line. Substituting the given coordinates, we get:

m = (-11 - (-1)) / (-3 - 11) = -10 / (-14) = 5 / 7

Now we can use the point-slope form of the equation of a line to find the equation of line ℓ:

y - y₁ = m(x - x₁)

where (x₁, y₁) is any point on the line. We can choose either of the given points, let's choose (11, −1):

y - (-1) = (5 / 7)(x - 11)

Simplifying this equation, we get:

y = (5 / 7)x - 36 / 7

So, the equation of line ℓ is y = (5 / 7)x - 36 / 7.

Now we can use the formula for the distance between a point and a line:

distance = |ax + by + c| / √(a² + b²)

where a, b, and c are the coefficients of the equation of the line, and x and y are the coordinates of the point. In this case, the coefficients of the equation of line ℓ are a = 5 / 7, b = -1, and c = -36 / 7. Substituting the coordinates of the point P, we get:

distance = |(5 / 7)(-1) - 1 + (-36 / 7)| / √((5 / 7)² + (-1)²)

Simplifying this equation, we get:

distance = 24 / √(74)

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The probability that the man is standing where he started when he is finished is 1/2

Given is that a large, regular hexagon is drawn on the ground, and a man stands at one of the vertices. The man flips a coin. If the coin lands heads, he walks counterclockwise along the edge of the hexagon until reaching the next nearest vertex. If the coin lands tails, he walks clockwise around the hexagon until reaching another vertex.  The man flips the coin a total of six times.

Now, for either all heads or all tails, the person will land at same place. So, we can write that -

number of favorable outcomes = N{F} = 6

total number of favorable outcomes = N{T} = 12

P{E} = N{F}/N{6}

P{E} = 6/12

P{E] = 1/2

Therefore, the probability that the man is standing where he started when he is finished is 1/2.

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Answer:

I believe the answer is 2. You may want to get a second opinion though because Im not sure

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

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

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

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

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:

m= (12 -4)÷ (9 -2)

Solving:

m= 8÷ 7= 8/7

Finally, the slope of the line is 8/7.

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Using the distributive property, the expanded form of (−1/4)(−8x+12y) is c) 2x - 3y.

The distributive property states that when you multiply a number or a variable expression by a sum or a difference, you can distribute the multiplication over each term within the parentheses.

So, to expand the expression (−1/4)(−8x+12y), we can apply the distributive property by multiplying -1/4 to each term inside the parentheses:

(−1/4)(−8x+12y) = (−1/4) × (−8x) + (−1/4) × (12y)

= (1/4) × 8x − (1/3) × 12y

= 2x − 3y

Therefore, the expanded form of (−1/4)(−8x+12y) is 2x − 3y. Hence, the correct answer is (c) 2x-3y.

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The 90% confidence interval is: (2.51, 3.22)

It is a boundary of values which is eventually to comprise a population value with a certain degree of confidence. It is usually shown as a percentage whereby a population means lies within the upper and lower limit of the provided confidence interval.

We have the following information :

The level of significance is calculated as:

\(\alpha =1-c\\\\\alpha =1-0.90\\\\\alpha =0.10\)

The degrees of freedom for the case is:

df = n - 1

df = 15 - 1

df = 14

The 90% confidence interval is calculated as:

=x(bar) ±\(t_\frac{\alpha }{2}\), df \(\frac{s}{\sqrt{n} }\)

= 2.86 ±\(t_\frac{0.10 }{2}\), 14 \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 1.761 × \(\frac{0.78}{\sqrt{15} }\)

= 2.86 ± 0.3547

= (2.51, 3.22)

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The p-value of the test of the producer of certain bottling equipment claims that the variance of all its filled bottles is 0.027 or less. a sample of 30 bottles showed a standard deviation of 0.2. is between 0.025 and 0.05.

The likelihood that the null hypothesis is correct is expressed by the p-value. The likelihood that the alternative hypothesis is correct is (1 - p-value). A little p-value indicates that the findings are repeatable. A big effect or a significant theoretical, clinical, or practical significance is indicated by a low p-value.

The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test). The formula for calculating the p-value for a lower-tailed test is: p-value = P(TS ts | H 0 is true) = cdf (ts)

The p-value of the test of the producer of certain bottling equipment claims that the variance of all its filled bottles is 0.027 or less. a sample of 30 bottles showed a standard deviation of 0.2. is between 0.025 and 0.05.

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Answer:

$64

Step-by-step explanation:

This would be the answer because if we figure out what needs to be added to -21 to reach 43 we get 64.

(-21+64 - $43.)

Have a blessed day! Also brainliest would be appreciated :)

Answer:

The answer is a

Step-by-step explanation:

every y value is just the x value doubled

Answer and step-by-step explanation:

The answer is A because:

When you plug in a value for x, the result (y) is twice that number, which correlates with this equation.

For example, if we plug in 5 for x, we will get 10.

2 times 5 is equal to 10. This is also shown on the table given.

You can give the user above me brainliest if you want :)

#teamtrees #PAW (Plant And Water)

Answer:

x= (2b-2c)/3a

Step-by-step explanation:

3ax+2c=2b

or, 3ax= 2b-2c

Therefore, x= (2b-2c)/3a

Answer:

ravi's is 440 and malcolm's is 520 i think

Step-by-step explanation:

Answer:

c

Hope it helps :)

Answer:

Zeroes: (-1.45, 0) and (3.45, 0)

Step-by-step explanation:

I plugged the equation into a graphing calc and located the x-values when graphing.