Find the supplement of 1/5 of complete angle​

The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future is 0.57

b) At 90% confidence, the margin of error is 0.0324.

c) The 90% confidence interval is (0.5376, 0.6024).

d) The 95% confidence interval is (0.5314, 0.6086).

(a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future can be found by dividing the number of respondents who lack confidence (575) by the total number of respondents (1,007):

Point estimate = 575/1007 = 0.57 (rounded to two decimal places)

(b) The margin of error can be calculated using the formula:

Margin of error = z√(p'(1-p')/n)

where z is the z-score associated with the desired level of confidence, p' is the point estimate, and n is the sample size. For a 90% confidence level, the z-score is 1.645.

Margin of error = 1.645√(0.57*(1-0.57)/1007) ≈ 0.0324 (rounded to four decimal places)

(c) The 90% confidence interval can be calculated using the formula:

Point estimate ± Margin of error

Substituting the values:

0.57 ± 0.0324

The 90% confidence interval is (0.5376, 0.6024) (rounded to four decimal places).

(d) The 95% confidence interval can be calculated in the same way, but with a different z-score. For a 95% confidence level, the z-score is 1.96.

Margin of error = 1.96√(0.57(1-0.57)/1007) ≈ 0.0386 (rounded to four decimal places)

0.57 ± 0.0386

The 95% confidence interval is (0.5314, 0.6086) (rounded to four decimal places).

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Answer:

D.

Step-by-step explanation:

The function is an absolute value. That just means that all the y-values (in this case) will be positive, but there is nothing that limits the x-values. So, D. {x | x = all real numbers}.

Hope this helps!

Answer:

Option A. 4√5

Step-by-step explanation:

To obtain the value of x, we must first obtain the value of y as shown in the attached photo.

The value of y can be obtained by using the pythagoras theory as illustrated below:

In this case y is the longest side i.e the Hypothenus.

y² = 4² + [4√3]²

y² = 4² + [4² × (√3)²]

y² = 4² + [4² × 3]

y² = 16 + [16 × 3]

y² = 16 + 48

y² = 64

Take the square root of both side

y = √64

y = 8

Finally, we shall determine the value of x by using the pythagoras theory as illustrated below.

Note: x is the longest side i.e the Hypothenus in this case.

x² = 4² + 8²

x² = 16 + 64

x² = 80

Take the square root of both side

x = √80

x = √(16 × 5)

x = √16 × √5

x = 4√5

Therefore, the value of x is 4√5.

Answer:

3.1 x \(10^{13}\)

Step-by-step explanation:

\(\frac{2x10^{20} }{6.37x10^{6} }\)

3/6.37 is about .31

When you are dividing with powers, you subtract the exponents

20 - 6 = 14

.31 x \(10^{14}\)  This is not in scientific notation because .31 is less than 1

3.1 x \(10^{-1}\)x\(10^{14}\)  When we multiply powers with the same base we add the exponents

3.1 x \(10^{13}\)

Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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Answer:

y = x/3

Step-by-step explanation:

y = 3x

x = 3y

3y = x

y = x/3

⊱_____________________________________________________⊱

Answer:

Step-by-step explanation:

\(\large\displaystyle\begin{gathered} \rm{To \ find \ the \ inverse, \ switch \ the \ places \ of \ x \ and \ y} \\ \sf{ y=3x} \\ \sf{x=3y} \\ \rm{Now \ solve \ for y} \\ \sf{x/3=y} \\ \sf{\dfrac{x}{3}=y \end{gathered}\)

done !!

⊰______________________________________________________⊱

Answer:

99/8 or12 3/8

Step-by-step explanation:

5 1/2 x 2 1/4 as improper fraction is

11/2 times 9/4

to get your answer

Answer:

Gradient normal x gradient tangent = -1 is a mathematical expression that relates the normal and tangent vectors of a curve in three-dimensional space. The gradient of a scalar function is a vector that points in the direction of the greatest rate of increase of the function. The normal vector is perpendicular to the surface defined by the function, and the tangent vector is a vector that lies on the surface and points in the direction of the curve.

In mathematics, the cross product of two vectors is a vector that is orthogonal to both vectors, and the magnitude of the cross product is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between them. In this case, the normal and tangent vectors of a curve form an orthogonal basis, meaning that they are perpendicular to each other. The expression gradient normal x gradient tangent = -1 says that the magnitude of the cross product of the normal and tangent vectors is equal to -1. This means that the normal and tangent vectors form a right-handed coordinate system, where the cross product is negative because the normal vector points in the opposite direction to the positive z-axis.

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Answer:

A. B. C. D.

Step-by-step explanation:

because Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) is no longer continuous.

D. As x approaches positive infinity, f(x) approaches negative infinity.

probabilities for choosing 2 marbles from a bag of 10 marbles is Dependent events

Given the following probabilities for choosing 2 marbles from a bag of 10 marbles are:-

P(blue) = 3/10, P(green) = 1/5, P(blue and green) = 3/100

We know the fact that two event are independents if we have following:-

P(X and Y) = P(X) times P(Y)

For this problem, we must have P(blue and green) = P(blue) times P(green).

P(blue and green) = (3/10) * (1/5) = 3/50

But given P(blue and green) = 3/100

Since we have 3/100 ≠ 3/50

Hence, the events are not independent events.

So, they are dependent events.

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Answer:

16 miles long to work it would be 0 miles shorter

Step-by-step explanation:

8+8 is 16

if the road was just one street it would still be the same distance

I hope this helps. THIS MIGHT BE WRONG though if someone say something else, take a good look at their answer too because the way I did it, seems like it's a little too simple.

Answer:   The distance will be about 11 miles . 2) The man's one way-trip will be 5 miles shorter.

Step-by-step explanation:

If the man  drove east by 8 miles and  North by 8 miles and we want to determine the distance that is directly  from east to north then we will use the Pythagorean Theorem  solve for that distance.

Now since we are solving for the distance directly from his home to work we will be looking for the hypotenuse in this case.

a^2 + b^2 =c^2  where c is the hypotenuse

8^2 + 8^2 =c^2

64 +64 = c^2  

c= \(\sqrt{128}\)  

c =  11.31

  In this case the distance from his home directly to his work will be about 11 miles.

2.   To find out how much shorter the man will travel ,add the east and north distance and subtract 11.31 from it.

8 + 8 = 16

16  - 11.31 = 4.69

Answer(s):

\(\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2 \\ y = 2cos\:x - 2\)

Explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 2\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle y = 2sin\:x - 2,\) in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{2}\:unit\) to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK \(\displaystyle \frac{\pi}{2}\:unit,\) which means the C-term will be negative, and perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.\) So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = 2sin\:(x + \frac{\pi}{2}) - 2.\) Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits the origin \(\displaystyle [0, 0],\) from there to \(\displaystyle [2\pi, 0],\) they are obviously \(\displaystyle 2\pi\:units\) apart, telling you that the period of the graph is \(\displaystyle 2\pi.\) Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = -2,\) in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

10.125

Step-by-step explanation:

Given the data :

28,45,12,34,36,45,19,20

The mean absolute deviation of the data is :

Σ|x - mean| / n

n = number of values = 8

Mean = Σx / n = 239 / 8

Mean = 29.875

Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size

Using a mean absolute deviation calculator ;

Mean absolute deviation = Σ|x - mean| / n = 10.125

Answer:

Hi there!

Your answer is:

Anna's age= 2T-4

Anna is 12!

Step-by-step explanation:

Tony = 8

Anna= 2T -4

T is tony's age.

2(8)-4 = 16-4 = 12

Anna is 12!

Hope this helps!

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

76.201 is greater than 76.187

Answer:

70/3

Step-by-step explanation:

Your welcome :)

Step-by-step explanation:

4 / 12 = 1/3 = 0.33

0.33 x 70 = 23. 33

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer

14(1+3)

Explanation

The greatest common factor of 14 and 42 is 14.

Divide 14 and 42 each by 14.

14÷14=1

42÷14=3

So 14+42 factored is 14(1+3).

You can also check your answer.

1+3=4

14×4=56

-----

14+42=56

Answer:97.54

Step-by-step explanation:

Answer:

97.54

Step-by-step explanation:

  1 1

63.55

 31.99

+  2.00

________

97.54

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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Answer:

hope it helps u..

Step-by-step explanation:

Answer:

This guy is correct. I tried it and it worked.

Step-by-step explanation:

Mark him brainliest.

The minimum unit cost of an aircraft is =$15,930.

Calculus maxima and minima are discovered utilizing the idea of derivatives. We locate the locations where the gradient is zero. These sites are known as turning points or stationary points because, as we know from the concept of the derivatives, they provide us with information about the gradient or slope of the function. These locations are connected to the function's most prominent or smallest (local) values.

The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made.  x  = engines   made,

\(C(x)=0.2x^2-36x+17,550\)

now find the minimum cost,

\(C(x)=0.2x^2-36x+17,550\\\\diff\ with\ respect\ to\ x\\\\C'(x)=0.4x-36,\\put\ c'(x)=0,\\\\0.4x-36=0\\\\x=90.\\\\Now\ c''(x)=0.4 > 0\\Cost \ will\ be \ minimum \ at\ x=90.\\\\c(90)=0.2(90)^2-36(90)+17,550\\=1620-3240+17550\\= $15930 $\)

The minimum unit cost of an aircraft is =$15,930.

The complete question is-

An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on the number of engines made. If X engines are made, then the unit cost is given by the function C(x)=0.2x^2-36x+17,550. What is the minimum unit cost?

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The evaluation of the fraction (5/6 + 2/3) - (3/4 + 1/12) in its simplest form is 2/3

A fraction is a number which consists of a numerator and a denominator.

A numerator is the upper or top value of a fraction while a denominator is the lower or bottom value of a fraction.

(5/6 + 2/3) - (3/4 + 1/12)

= (5+4)/ 6 - (9+1) / 12

= 9/6 - 10/12

= 3/2 - 5/6

= (9-5) / 6

= 4/6

= 2/3

Consequently, the answer to the given fraction in its simplest form is 2/3

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