If you are standing 300ft from a building and the building is 200 ft tall, what is the angle of elevation formed with the ground when you look up and see the top of the building.

Plz help me out

From the diffraction grating experiment, the placing distance for grating must a viewing screen so that the two first-order fringes are separated by 1.0 mm is equals to 3.64 nm.

We have excited potassium atoms emit deep-violet light, with two wavelengths, say \(\lambda_1 = 404.4 \ nm\) = 404.4 × 10⁻⁷ m and

\( \lambda_2 = 404.7 \ nm \) = 404.7 × 10⁻⁷ m

Also, there is diffraction grating that has 680 slits per millimeter.

So, distance between grating elements, d = 680 slits per mm = 1.47 × 10⁻⁶m

Separation distance between slits = 1 mm = 10⁻³ m

Now, for first order diffraction grating, m = 1, using the following formula, \(d sin(\theta) = m \lambda\)

For λ₁ = 404.4 × 10⁻⁷ m , d sin(θ₁) = m λ₁

substitute all known values

=> 1.47 × 10⁻⁶m × sin(θ₁) = 1 × 404.4 × 10⁻⁷ m

=> sin(θ₁) = 0.275

=> θ₁ = 15.96°

For λ₂ = 404.7 × 10⁻⁷ m , d sin(θ₂) = m λ₂

substitute all known values

=> 1.47 × 10⁻⁶m × sin(θ₂) = 1 × 404.7 × 10⁻⁷ m

=> sin(θ₂) = 0.275

=> θ₂ = 15.96°

Let d be the distance at which grating must a viewing screen be placed for two first-order fringes are separated by 1.0 mm. Now, again use the above formula,

\(d sin(\theta) = m \lambda\)

=> d sin(15.96°) = 10⁻³ m

=> 10⁻³ m = d× 0.275

=> d = 3.64 × 10⁻³ m or 3.64 nm.

Hence, required value is 3.64 nm.

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Answer:

04 is ten times as great as which decimal. 0.04 = 10 times decimal number . 0.04 = 10 * x. On dividing both sides by 10. x = . x = 0.004. Therefore, Decimal number 0.004

Step-by-step explanation:

Hope this helps :))

It is required to find the solution.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. Fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

Given:

Let the decimal is x .

0.04 is ten times as great as which decimal.

We have to  find the solution.

According to given question we have

0.04 = 10 times decimal number .

0.04 = 10 * x.

On dividing both sides by 10.

x = 0.04/10

x=0.004

Therefore, the decimal number 0.004.

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In a standard deck, there is a 1 in 52 chance (approximately 1.92%) of drawing the chosen card in a fair draw.

To answer this, we need to understand the terms you've provided:

1. Deck: Refers to a standard deck of 52 playing cards.
2. Gross: The total amount won before subtracting the initial bet.
3. A fair draw: is drawing a card from the deck with an equal probability of selecting any card.

In this game, you bet $1 to pick a certain card in a fair draw from a standard deck. If you lose, you lose your $1. If you win, you collect the gross amount indicated, and your net gain is $1 less.

1. Choose a specific card from the standard deck (e.g., the Ace of Spades).
2. Place a $1 bet that you will draw the chosen card in a fair draw.
3. Draw a card from the deck.
4. If the drawn card matches your chosen card, you win and collect the gross amount.
5. Calculate your net gain by subtracting your initial $1 bet from the gross amount.

Remember, in a standard deck, there is a 1 in 52 chance (approximately 1.92%) of drawing the chosen card in a fair draw.

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In the following games, you lay down $1 to bet that you will pick a certain card in a fair draw from a standard deck. If you lose, then you lose your $1. If you win, then you collect the gross amount indicated, so your net gain is $1 less.

What is the expected financial value of a bet where you will win $52 if you draw a Queen of Hearts?

A. -$51/52

B. -$1/52

C. $0

D. $1/52

E. $51/52

The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

Let's suppose the distance between the Lisa and Penny is x feet.

We can draw a right-angle triangle for this situation.

As we can see in the right angle triangle.

tan54.5 = x/50  (from the right-angle triangle)

x = 50tan54.5

x = 70.09 ≈ 70.1 feet

Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.

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Answer:

869

Step-by-step explanation:

Maximum two hours of gaming a day is healthy.

What is meaning of healthy?

Not just the absence of illness or infirmity, but also a complete condition of physical, mental, and social well-being, is what is meant by "health."

Additionally, twice as many parents of teen boys than teen girls report that their son plays video games daily. Teenage guys are also more likely to play video games for three or more hours.

The American Academy of Pediatrics advises limiting screen-based entertainment to no more than two hours each day. According to Radesky, parents should make a "media plan" that specifies how much time a kid can spend playing video games without having an impact on their behavior or their schoolwork.

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The triangles are used to prove the cosine rule which gives a²=b²-c²+2bcCosA

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

From the given parameters

For ΔABD, c²=x²+b² and SinB = x/c

Which yields that x=cCosb

For ΔCBD, a²= h² + (b -x )² = b²-2bx +x²) +h²

Using substitution this yields

a² = b² -c² + 2bc CosA

This gives the cosine rule from the two triangles

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Answer:

The price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Step-by-step explanation:

David wants to make 10 servings, where each serving has 75 grams of rice. So, he needs a total of 10 * 75 = 750 grams of rice. the price of rice per gram is 4.50 / 750 = 0.006 dollars per gram.

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

A(2, 2 ) → A'(2, 2 )

B(5, 7 ) → B'(7, 5 )

C(8, 5 ) → C'(5, 8 )

Answer:

3rd 1

Step-by-step explanation:

because ive done math for 17 years

Answer:

the answer is 3,9

Step-by-step explanation:

-3x+2y=9

3(x+y=12)

-3x+2y=9

3x+3y=36

5y=45

_ __

5 5

y=9

x+y=12

x+9=12

-9 -9

_______

x=3

If a Simpson's line (a line passing through the centroid and any point on the circumcircle of a triangle) goes through its own pole (the isogonal conjugate of the point), then the pole must be one of the vertices of the triangle.

In a triangle, the centroid is the point of intersection of the medians, while the circumcircle is the circle passing through all three vertices of the triangle.

The isogonal conjugate of a point with respect to a triangle is a point that lies on the reflections of the triangle's sides with respect to the angle bisectors. In the case of the circumcircle and centroid, the isogonal conjugate of the centroid is the circumcenter, and the isogonal conjugate of the circumcenter is the orthocenter.

Now, when the Simpson's line passes through its own pole, it means that the pole (orthocenter) must lie on the circumcircle of the triangle. Since the circumcircle passes through all three vertices of the triangle, it follows that the pole (orthocenter) must be one of the vertices of the triangle.

Therefore, if a Simpson's line goes through its own pole, the pole must be one of the vertices of the triangle.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

Earlier we found that:

If we put y on one side by itself the equation is:

This is same as the equation of the red line.

Any right triangle using this line will be similar to each other.

It's easier

We know the slope formula for origin crossing line

Here

m is 2

So

When β > 0, the origin is not stable. When β = 0, the origin is stable. When β < 0, the stability of the origin cannot be determined solely based on the given Lyapunov function.

To determine the stability of the origin for the given system, we can use the Lyapunov function candidate \(V(x1, x2) = (x1^2 + x2^2)/2\)

i) When β > 0:
We need to check if V(x1, x2) is positive definite and its derivative along the trajectories of the system is negative definite. If both conditions are met, the origin is stable.

Taking the derivative of V(x1, x2) with respect to time, we get:
\(V_{dot} = x1 * x1_{dot} + x2 * x2_{dot} = x1 * (x2 + \beta (x1^3 - x1)) + x2 * (-x1)\)
Simplifying, we have:
\(V_{dot} = \beta  * x1^4 - x1^2\)
Since β > 0, \(x1^4\) term is always positive.

However,\(x1^2\) term can be positive or negative depending on the value of x1.
Therefore, the origin is not stable when β > 0.

ii) When β = 0:
In this case, the derivative of V(x1, x2) becomes:
\(V_{dot} = -x1^2\)
Since \(V_{dot\) is negative definite, the origin is stable when β = 0.

iii) When β < 0:
The derivative of V(x1, x2) becomes:
\(V_{dot} = \beta  * x1^4 - x1^2\)
In this case, both terms β * \(x1^4\) and \(-x1^2\) can be negative, depending on the value of x1.
Therefore, the stability of the origin when β < 0 cannot be determined solely based on the given Lyapunov function.

To summarize:
- When β > 0, the origin is not stable.
- When β = 0, the origin is stable.
- When β < 0, the stability of the origin cannot be determined solely based on the given Lyapunov function.

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Answer:

\(a=9\)

Step-by-step explanation:

In this problem, you can use the Pythagorean Theorem (\(a^{2} +b^{2} =c^{2}\)) to find what a is. The steps are shown below:

Steps (variables a, b, and c are in italics):

-You can rearrange the formula from the Pythagorean Theorem, which is\(a^{2} +b^{2} =c^{2}\) to only get a because we want to know what a is.

Rearranged: \(a=\sqrt{c^{2}-b^{2} }\) or \(a=-\sqrt{c^{2}-b^{2} }\)  It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.

-Since we know what c and b are, you can plug them into the new formula:

\(a=\sqrt{15^{2}-12^{2} }\)

-Simplify it:

\(a=\sqrt{225-144}\)

-Subtract inside the radical:

\(a=\sqrt{81}\)  Then simplify it to get \(a=9\).

You can check your answer by putting a back into the original Pythagorean Theorem formula (\(a^{2} +b^{2} =c^{2}\)):

Steps

-Plug a, b, and c into the formula \(a^{2} +b^{2} =c^{2}\):

\((9)^{2} +(12)^{2} =(15)^{2}\)

-Simplify to get:

\(81+144=225\)

-Add:

\(225=225\)  This is very true. So our answer is correct.

ANSWER: \(a=9\)

Sorry for the long explanation, but I hope you understand and that this helps with your question! :)

Answer:

Step-by-step explanation:

lets make is short and simple

Pythagorean theorem: a² + b² = c²

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Answer:

(6) 39.0 square inches,  (8) 16.3 square centimeters

Step-by-step explanation:

Part (6): The area is given by:

\(A=\frac{1}{2}\times RS\times RT\times\sin(m\angle{SRT})\\A=\frac{1}{2}\times 7\times 11.4\times\sin(78^{\circ})\\A=39.0~in^{2}\)

Part (8): The area is given by:

\(A=\frac{1}{2}\times EF\times ED\times \sin(m\angle{FED})\\A=\frac{1}{2}\times 10\times 6\times \sin(33^{\circ})\\A=16.3~cm^{2}\)

Answer:

The volume of the prism is 441 cm^3

Step-by-step explanation:

To find the volume of the prism we have the following formula

Mathematically, the volume of a rectangular prism is the product of the three sides of the prism

We have this as;

V = l * b * h

V = 4.2 * 15 * 7 = 441 cm^3

Answer:

15,840

Step-by-step explanation:

Multiplying 22,000 by 20% to get 4400, subtract.

Multiplying 17,600 by 10% to get 1,760, subtract.

Final answer, 15,840.

Good luck! Hope this helps!

Assuming an equal distribution of mangoes and blueberries, each batch of the recipe used 15 cups. To make one more batch, the chef would need an additional 15 cups of mangoes and blueberries.

If a chef uses a recipe with the following ingredients and decides to make one more batch of the recipe, using a total of 30 cups of mangoes and blueberries, we need to determine the distribution of the ingredients in each batch.

Let's assume that the recipe requires two ingredients: mangoes and blueberries. To determine the distribution, we need additional information about the proportions or ratios of mangoes and blueberries in the recipe. Without that information, we cannot provide a precise breakdown of the quantities for each ingredient.

However, we can explore some possibilities based on assumptions. Let's consider a few scenarios:

Scenario 1: Equal Distribution

If we assume an equal distribution of mangoes and blueberries, each batch would use 15 cups of mangoes and 15 cups of blueberries. Therefore, to make one more batch, the chef would need an additional 15 cups of mangoes and 15 cups of blueberries.

Scenario 2: Different Proportions

If the recipe requires a different proportion of mangoes and blueberries, let's say a 2:1 ratio, then we can calculate the quantities accordingly. In this case, for every 2 cups of mangoes, 1 cup of blueberries would be used. If the total is 30 cups, we would need to divide it accordingly. This would result in approximately 20 cups of mangoes and 10 cups of blueberries. To make one more batch, the chef would need an additional 10 cups of mangoes and 5 cups of blueberries.

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If the random sample of 10 bags is taken to check the working ; then the average amount of candy dispensed by the machine is less than 16 ounces .

In the question ,

it is given that ,

a random sample of 10 bags is taken to verify that the machine is working fine ,

the mean amount of candy dispensed is = 15.887 oz ,

the standard deviation of the sample is = 0.1304 oz .

we have to check whether the average amount of candy dispensed by machine is different from 16.0 oz .

So , H₀ : μ = 16 v/s  H₁ : μ < 16

the test statistic(t) will be =

t = (mean - average)/(σ/√n)

= (15.887 - 16)/(0.1304/√10)

= -0.113/0.0412361

Simplifying further ,

we get ;

= -2.7403  .

|t| = 2.7403

Now t(critical value) at n - 1= 9 degree of freedom and α = 0.05 .

So , t₉,₀.₀₅ = 1.833

Now , Since the t value calculated (2.7403) is greater than t critical (1.833)

we reject the H₀ and accept H₁ .

Therefore , The average amount of candy dispensed by the machine is less than 16 ounces .

The given question is incomplete , the complete question is

A packing machine in a candy factory is supposed to put 16.0 ounces of chocolate-covered raisins in each bag. to verify that the machine is working correctly, a random sample of 10 bags is taken, and found to contain an average of 15.887 oz. of candy, with sample standard deviation 0.1304 oz. does this indicate that the average amount of candy dispensed by the machine is different (either way) from 16.0 ounces ?

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Answer:

i don't no because iam not understand tje question

In this case, adjacent angles are such pairs of angles that are alongside each other. Therefore, we can say that the sum of the two adjacent angles forms a bigger angle.

In this case, vertical angles are such angles that are on opposite sides of the intersection between two lines. It is understood that vertically opposite angles are equivalent.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

As we can see a \(\square\), we can tell that the sum of the measure of ∠x and the other angle is 90°. Therefore, we obtained;

Therefore, the measure of ∠x is 65°.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are on opposite sides. Therefore, we can tell that the angles are vertically opposite angles.

As stated in part 1ii, vertical angles are equivalent. Since ∠x and the other angles are vertically opposite angles, the measure of ∠x is 128°.

Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.

Since the line shown, is a straight line, we can tell that the sum of 117 and x is 180. Therefore, we obtain the following equation;

When isolating x, we get;

Therefore, the measure of ∠x is 63°

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Note that the if statements are given as follows:

(ax + ay)/(x * y ^ 2) * (x ^ 2 * y)/(3x + 3y)

Simplified: a/(y^2) * x/(3 + 3/y)

If Statement: if (y == 0 || x == -y/3)

(xy)/(a ^ 2 + a ^ 3) * (a + a ^ 2)/(x ^ 2 * y ^ 2)

Simplified: 1/(a + a^2) * 1/(x^2 * y)

If Statement: if (a == 0 || x == 0 || y == 0)

(6a)/(x ^ 2 - x) * (2x - 2)/(3ax)

Simplified: 2/(x - 1) * 2/3

If Statement: if (x == 0 || x == 1)

(x ^ 2 - 1)/(5xy) * (x ^ 2 * y)/(1 + x)

Simplified: (x - 1)/(5y) * x/(1 + x)

If Statement: if (y == 0 || x == -1)

(8n ^ 2)/(m ^ 2 - 16) * (m ^ 2 - 4m)/(6n)

Simplified: 2n/(m + 4) * 4/(3n)

If Statement: if (n == 0 || m == 4 || m == -4)

(a ^ 2 - b ^ 2)/(a ^ 2 - 3a) * (2a - 6)/((a + b) ^ 2)

Simplified: (a - b)/(a - 3) * 2(a - 3)/((a + b)^2)

If Statement: if (a == 0 || a == 3 || a == -b)

(bx + 3b)/(x ^ 2 - 25) * ((x - 5) ^ 2)/(ax + 3a)

Simplified: b/(x + 5) * (x - 5)^2/(a(x + 3))

If Statement: if (x == 5 || a == -3)

(3ab)/(4xy) / (- (21a ^ 2 * b)/(10x ^ 2 * y))

Simplified: -15/(14a) * x/y

If Statement: if (a == 0 || x == 0 || y == 0)

18a ^ 2 * b ^ 2 * 5cd / (- (9a * b ^ 3)/(5c ^ 2 * d ^ 4))

Simplified: 50a^3/(b^2) * c^2/d^4

If Statement: if (b == 0 || d == 0 || c == 0 || a == 0)

(a ^ 2 - 3ab)/(3b) / (7a - 21b)

Simplified: (a - 3b)/(9b) / 7(a - 3b)/b

If Statement: if (b == 0 || a == 3b)

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Answer:

A

Step-by-step explanation:

Answer:

3g+15

Step-by-step explanation:

Multiply using the distributive property.

The equation y = 9x represents Jason's job as a camp counselor for the summer, where x is the number of hours he works and y is the total amount he earns.

The equation y = 9x is a linear equation that relates the total earnings (y) to the number of hours worked (x) by Jason. In this equation, the coefficient 9 represents the hourly rate of $9 per hour.

To calculate the total amount Jason earns, we multiply the number of hours worked (x) by the hourly rate ($9). This multiplication is reflected in the equation y = 9x. The variable x represents the number of hours, and when multiplied by 9, it gives the total earnings in dollars (y).

For example, if Jason works 5 hours, we can substitute x = 5 into the equation:

y = 9 * 5 = 45

This means that Jason would earn a total of $45 for working 5 hours as a camp counselor.

The equation y = 9x provides a straightforward way to determine Jason's total earnings based on the number of hours he works.

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