Which pair of numbers has an LCM of 20?
1. 4 and 5
2.5 and 10
3. 2 and 10

1) The lift coefficient for a wing with an aspect ratio of 6.8 at an angle of attack of 10 degrees measured from the attitude at zero lift is 1.02. 2) The lift coefficient CL for a wing with an aspect ratio of 7.6, and placed at an angle of attack = 8.6° for the angle of zero lift is 0.93.

1. The lift-curve slope for infinite aspect ratio is 0.09 per degree.

Assume e =0.85.

The lift coefficient for a wing with an aspect ratio of 6.8 at an angle of attack of 10 degrees measured from the attitude at zero lift is 1.02

Given, The lift-curve slope for infinite aspect ratio = 0.09 per degree

Aspect ratio, AR = 6.8

Angle of attack, α = 10°

Efficiency factor, e = 0.85

Formula used: CL

= (2 * π * AR * α)/(180 + (π * AR * e))CL

= (2 * π * 6.8 * 10°)/(180 + (π * 6.8 * 0.85))CL

= 1.02 (Approx)

Hence, the lift coefficient for a wing with an aspect ratio of 6.8 at an angle of attack of 10 degrees measured from the attitude at zero lift is 1.02.

2. The slope of lift curve for infinite aspect ratio and the Oswald's efficiency given as 0.086 per degree and 0.91, respectively.

The lift coefficient CL for a wing with an aspect ratio of 7.6, and placed at an angle of attack = 8.6° for the angle of zero lift is 0.93

Given, The lift-curve slope for infinite aspect ratio = 0.086 per degree

Oswald efficiency factor, e = 0.91

Aspect ratio, AR = 7.6

Angle of attack for zero lift, α0 = 8.6°

Formula used: CL

= (2π * AR * α)/(180 + π * AR * e) - (α/57.3)CL

= (2π * 7.6 * 0)/(180 + π * 7.6 * 0.91) - (8.6/57.3)CL

= - (8.6/57.3)CL

= - 0.16 + (0.086 * 7.6)CL

= 0.93

Hence, the lift coefficient CL for a wing with an aspect ratio of 7.6, and placed at an angle of attack = 8.6° for the angle of zero lift is 0.93.

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Answer:

$75

Step-by-step explanation:

Please mark Brainliest when you’re able.

Answer:

Yes, it is possible.  Hope this helps!

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

When the points are not on the same horizontal or vertical line, a right triangle can be formed by a horizontal line through one point and a vertical line through the other point. Here, we have labeled the given points A and B, and identified the intersection of those horizontal and vertical lines as point C.

__

Leg 1 will be AC. Its length is the difference of the x-coordinates of A and C (or A and B, if you like): 6 -(-1) = 7.

Leg 2 will be BC. Its length is the difference of the y-coordinates of the points: (4 -(-2)) = 6.

The hypotenuse is AB. Its length is given by the Pythagorean theorem as ...

  AB² = AC² +BC²

  AB² = 7² +6² = 49 +36 = 85 . . . . . fill in the numbers

  AB = √85 . . . . . . . . . . . . . . . . . . take the square root

The length of the hypotenuse AB is √85.

The properties of the rational exponents are given and a rational equation is of the form b = aˣ

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the rational exponent equation be A

Now , the properties of the exponent equations are

mᵃ×mᵇ = mᵃ⁺ᵇ

The powers of the exponents are added together

mᵃ / mᵇ = mᵃ⁻ᵇ

The powers of the exponents are subtracted together

( mᵃ )ᵇ = mᵃᵇ

The powers of the exponents are multiplied together

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

Any number raised to the power of 0 is 1

m⁻ᵃ = ( 1 / mᵃ )

Hence , the exponents are solved

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Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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Step-by-step explanation:

the area of a triangle is

baseline × height / 2

in our case

9.3 × 3.5 / 2 = 16.275 ft²

as you can see, yes, really easy.

what was the problem ? do you need any further explanation ?

Answer:

OP = 23

Step-by-step explanation:

• The diagonals of a parallelogram bisect each other , then

OP = MP , that is

3x - 4 = 2x + 5 ( subtract 2x from both sides )

x - 4 = 5 ( add 4 to both sides )

x = 9

Then

OP = 3x - 4 = 3(9) - 4 = 27 - 4 = 23

To find the area of a composite solid, we need to break it down into simpler shapes and then find their individual areas. Let's say our composite solid is made up of a cylinder and a hemisphere. Finally, we add the area of the cylinder and hemisphere together to get the area of the composite solid: 128π + 32π = 160π.

To find the area of the cylinder, we need to know its radius and height. Let's say the radius is 4 units and the height is 8 units. The formula to find the area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height. So, plugging in our values, we get 2π(4)^2 + 2π(4)(8) = 128π. Next, let's find the area of the hemisphere. We need to know its radius, which is also 4 units. The formula to find the area of a hemisphere is 2πr^2, where r is the radius. So, plugging in our value, we get 2π(4)^2 = 32π.Rounded to the nearest hundredth, the area is approximately 502.65 square units.

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The recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

To represent the given arithmetic sequence where 5 is added to each term to determine each successive term, the recursive formula can be expressed as: f(n+1) = f(n) + 5

In this formula, f(n+1) represents the next term in the sequence, while f(n) represents the current term. By adding 5 to each term, we can generate the next term in the sequence.

For example, let's assume the first term of the sequence is f(1) = a. Then, the second term would be f(2) = a + 5. The third term would be f(3) = (a + 5) + 5 = a + 10, and so on.

By using the recursive formula f(n+1) = f(n) + 5, you can find any term in the sequence by starting with the initial term and adding 5 repeatedly.

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The solution to the equation W - 2 + 2w = 6 + 5w is W = -4.

To solve the equation W - 2 + 2w = 6 + 5w,  follow these steps:

Begin by gathering the terms with W on one side and the terms without W on the other side of the equation.

Start by subtracting 2w from both sides:

W - 2 + 2w - 2w = 6 + 5w - 2w

Simplify:

W - 2 = 6 + 3w

Next, move the constant term (6) to the left side by subtracting 6 from both sides:

W - 2 - 6 = 6 + 3w - 6

Simplify:

W - 8 = 3w

Now, let's isolate the variable W by subtracting 3w from both sides:

W - 3w - 8 = 3w - 3w

Simplify:

-2w - 8 = 0

Finally, solve for W by adding 8 to both sides:

-2w - 8 + 8 = 0 + 8

Simplify:

-2w = 8

Divide both sides by -2 to isolate w:

(-2w) / -2 = 8 / -2

Simplify:

w = -4

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Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

Answer:

x is 1,800 kw energy used and y is $162 so a equation you can use

for every 1,800 kw of energy used you need to spend $162 so the equation would be

f(n)= 1,800 x 162^2

Answer:

as a fraction?

27/25

or

1 2/25

Step-by-step explanation:

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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Answer:

The answer is -729/2

Step-by-step explanation:

Answer:

what 35 minus 42

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: you just multiply 35 bye different percent and obviously more than 50 is too much in less than 10 is too little so just multiply from numbers that you know are close and from 35 to 42 is seven so once you multiply those percent by 35 you have to get seven as your answer

Answer:

7.24 + 5.3 = 3m

=> 3m = 12.54

=> m = 12.54/3

=> m = 4.18

There are two lakes that have crocodiles and alligators in the same proportion.The two lakes are Lake Winnipeg and Lake Champlain.

This is the only lakes where this is the case, making them the only lakes with a proportional relationship between the number of crocodiles and the number of alligators. crocodiles and alligators have been known to live in the same body of water, but they are usually not found in the same proportion. In these two lakes, however, they are found in equal numbers.

Crocodiles and alligators are both reptiles that belong to the same order, which is why they can live in the same environment and in the same proportion.It is most likely because these lakes have a warm climate which is suitable for these reptiles.

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Answer:

In the diagram, assume that segments are tangents if they appear to be. Find the ... Find the length of an arc with measure 62° in a circle with radius 2 m. 21. I hope this helps u  

Step-by-step explanation:

The minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.

A Taylor series is a mathematical series that represents a function as an infinite sum of terms. The terms of a Taylor series are calculated from the values of a function's derivatives at a single point.

The Taylor series is defined by the formula:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)² / 2! + f'''(a)(x - a)³ / 3! + ... + fⁿ(a)(x - a)ⁿ / n!

The error of the Taylor series approximation of a function is given by the formula:

Rn(x) = f(n + 1)(c)(x - a)ⁿ⁺¹ / (n + 1)!where c is some value between a and x.

Here, we want to find the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1. Therefore, we need to use the error formula to solve for n. Let's start by finding the first five derivatives of f(x):

f(x) = ln(x² + 1)

f'(x) = 2x / (x² + 1)

f''(x) = (2 - 4x²) / (x² + 1)²

f'''(x) = (24x³ - 12x) / (x² + 1)³

f⁴(x) = (-96x⁴ + 144x² - 24) / (x² + 1)⁴

f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵

Next, we need to find a value of c between -2 and 2 that will maximize the absolute value of the fifth derivative of f(x).

f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵

f⁵(c) = (672c⁵ - 960c³ + 240c) / (c² + 1)⁵

To find the maximum value of f⁵(c) on the interval (-2,2), we can check the endpoints and the critical points in the interval. The critical points are found by solving f⁴(c) = 0, which gives:

c = ±sqrt(3/8) ≈ ±0.866

The endpoints and the critical points give the following values:

f⁵(-2) ≈ 0.045

f⁵(-sqrt(3/8)) ≈ 4.011

f⁵(0) = 0

f⁵(sqrt(3/8)) ≈ -4.011

f⁵(2) ≈ -0.045

Therefore, the maximum absolute value of f⁵(c) on the interval (-2,2) is approximately 4.011. We can use this value in the error formula to solve for n:

|Rn(x)| ≤ 4.011 |x - a|⁵ / (n + 1)!0.1 ≤ 4.011 |x - a|⁵ / (n + 1)!

Since we want to find the minimum value of n, we can assume that x = 2 and a = 0 (the center of the interval), because the function is symmetric about the y-axis. Then:

0.1 ≤ 4.011 (2 - 0)⁵ / (n + 1)!0.1 ≤ 32.088 / (n + 1)!n + 1 ≤ 320.88 / 0.1n + 1 ≤ 3208.8 / n!

n! ≤ 3208.8 / (n + 1)!(n + 1)! / n! ≤ 3208.8 / (n + 1)n + 1 ≤ 5.508

The smallest integer n that satisfies this inequality is n = 5. Therefore, the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.

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the discount amount is RS 160.

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. The discount may be a percentage of the original price or a specific amount of money.

Let the market price of the watch be x.

After allowing a 10% discount, the selling price becomes 0.9x.

Then, adding 15% VAT, the final selling price is:

0.9x + 0.15(0.9x) = 1.035x

We know that the final selling price is RS 1656, so we can set up an equation:

1.035x = 1656

Solving for x, we get:

x = 1600

Therefore, the market price of the watch was RS 1600.

The discount amount is the difference between the market price and the discounted selling price:

Discount amount = Market price - Discounted selling price

= 1600 - 0.9x

= 1600 - 0.9(1600)

= 1600 - 1440

= 160

So the discount amount is RS 160.

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Answer:

625

Step-by-step explanation:

25x25 can be broken down into 20 x 25 and 5 x 25

20 x 25 is 10 x 25 x 2

10 x 25 is 250 and 250 times 2 is 500

25 x 5 is 125.

500+125 is 625.

9514 1404 393

Answer:

  AD is the diameter

Step-by-step explanation:

Angles in a triangle have a sum of 180°, so inscribed angle B is 80° and inscribed angle E is 90°.

An inscribed angle subtends an arc that is twice its measure, so arcs ABD and AED are both 180°. That makes chord AD a diameter.

Points A and D need your cross markings. AD is a diameter of the circle.

Answer:

$19.55

Step-by-step explanation:

17*0.15=2.55

17+2.55=19.55

The residual if you know the actual number is 3 and the predicted value is 1.6l is 1.4.

The residual is a measure of the difference between the predicted value and the actual value. In this case, the actual number is 3, and the predicted value is 1.6. To find the residual, we subtract the predicted value from the actual value:

Residual = Actual Value - Predicted Value

= 3 - 1.6

= 1.4

Therefore, the residual in this case is 1.4.

The residual represents the error or the amount by which the predicted value differs from the actual value.

A positive residual indicates that the predicted value is lower than the actual value, while a negative residual indicates that the predicted value is higher than the actual value.

In this case, the positive residual of 1.4 indicates that the predicted value of 1.6 underestimates the actual value of 3 by 1.4.

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Answer:

y-7=-13(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-13(x-5)

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

By using comparing the left hand side of the two given equations we have:

\(\begin{bmatrix}2x+y=11\\ 2x+y=2\end{bmatrix}\\\\\begin{bmatrix}11=2\end{bmatrix}\\\\11=2\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)

Best Regards!