Find the distance in nm between two slits that produces the first minimum for 405-nm violet light at an angle of 57. 5°

Answer:

answer is 3 ft

Step-by-step explanation:

area of circle= 3*(1)^2

Answer:

15 mister of cloths are needed to make 15 m if 1 puchu is 1 miter

Answer:15 meters

step by step explanation

The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

The figure that completes the question is added as an attachment

From the figure, we have the third side of the triangle to be

Third = √(7^2 - 4^2)

Evaluate

Third = √33

The sin(α) is calculated as:

sin(α) = Opposite/Hypotenuse

This gives

sin(α) = 4/7

The cos(β) is calculated as:

cos(β) = Adjacent/Hypotenuse

This gives

cos(β) = 4/7

The tan(α) is calculated as:

tan(α) = Opposite/Adjacent

This gives

tan(α) = 4/√33

The cot(β) is calculated as:

cot(β) = Adjacent/Opposite

This gives

cot(β) = 4/√33

The sec(α) is calculated as:

sec(α) =  Hypotenuse/Adjacent

This gives

sec(α) = 7/√33

The csc(β) is calculated as:

sec(β) = Hypotenuse/Opposite

This gives

sec(β) = 7/√4

Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4

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Total parrot=40

Caught=8

Fraction

#2

Out of 40 parrots 8 are ringed

Parrots per one ringed=40/8=5

Total ringed before=32

Total no of parrots

There are 160 parrots

Answer:

[tex]\sf 1) \quad \dfrac{1}{5}[/tex]

[tex]\sf 2) \quad 160\:parrots[/tex]

Step-by-step explanation:

Given information:

Therefore, the fraction of ringed parrots from the second catch is:

[tex]\implies \sf \dfrac{ringed\:parrots}{total\:caught\:parrots}= \dfrac{8}{40}=\dfrac{1 \times 8}{5 \times 8}=\dfrac{1}{5}[/tex]

If she caught and ringed 32 parrots in her first catch, but only 1/5 of the parrots caught in the second catch were ringed, then 32 parrots represents 1/5 of the total number of parrots.  To find the total number of parrots, simply multiply the total number of ringed parrots by 5:

[tex]\implies \sf \textsf{Total number of parrots}=32 \times 5 = 160[/tex]

Answer:

The answer is B, 2.78 hours

Step-by-step explanation:

Answer:

  6 hours 15 minutes, or 6.25 hours

Step-by-step explanation:

We assume Hank reads at a constant rate. His reading time will be proportional to the number of pages.

We know that 15 minutes is 1/4 hour, so the proportion can be written ...

  hours/pages = (book hours)/(250 pages) = (1/4 hour)/(10 pages)

Multiplying by 250 pages gives ...

  book hours = 250(1/4 hour)/10 = 25/4 hour = 6 1/4 hour

It will take Hank 6 1/4 hours to read the book.

Answer:

632

Step-by-step explanation:

So we can define decreasing x% in two ways: we can define 20% off as 80% of the original value, or we can define subtracting 20% from the original value, and both representations are useful.

In this case it's more useful to define 20% as subtracting 20%, from the original value. The reason for this, is because since we're subtracting 20% of the original value, we then know that 126.40 is 20% the original value.

So to find x% of some value, you generally use the following equation: [tex]A*\frac{x}{100}[/tex] where A=original amount, and x is the percent. This equation is simply converting the x% to a decimal value. Since 126.40 is 20%, we can derive the following equation.

[tex]0.20A = 126.40[/tex]

We can solve for A, by dividing by 0.20

[tex]A=632\\[/tex]

It's also important to note, you didn't really have to set up this entire equation, since you know that the 126.40 is 20%, you simply could've multiplied by 5, since 20% is really just 1/5 of the entire value, so get the entire value, or original value you multiply by 5

The absolute value exists its distance from zero on the number line.

⇒ f(x) = |x| exits f(x) = x for f(x) ≥ 0 and f(x) = -x for x < 0

⇒ Hence: f(x) = |x+8| exists f(x) = x+8 for x+8 ≥0 and x > -8

⇒ f(x) = -x+8 exists x + 8 < 0 i.e. x < -8

The function containing an algebraic expression inside absolute value symbols exists comprehended as an absolute functional form, and the calculation exists as pursues:

An absolute functional form has an algebraic expression inside absolute value symbols.

Remember that a number's absolute value exists its distance from zero on the number line.

⇒ f(x) = |x| exits f(x) = x for f(x) ≥ 0 and f(x) = -x for x < 0

⇒ Hence: f(x) = |x+8| exists f(x) = x+8 for x+8 ≥0 and x > -8

⇒ f(x) = -x+8 exists x + 8 < 0 i.e. x < -8

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The expression √180 * 2√30 is equivalent to the expression 60√6

An equation is an expression that shows the relationship between two numbers and variables.

The square root is a factor of a number that, when multiplied by itself, gives the original number.

Given the expression √180 * 2√30

Collecting like terms give:

= 2√(180 * 30)

Simplifying:

= 60√6

The expression √180 * 2√30 is equivalent to the expression 60√6

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Answer:

  ∠1 = 36°

Step-by-step explanation:

All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...

  10(∠1) = 360°

  ∠1 = 36° . . . . . . . . divide by 10

Answer:   36°

Step-by-step explanation:   Trust Me!

Answer is correct on Edge.  Good Luck! :)

In the regular decagon shown, what is the measure of angle 1?

360° is always the sum of all measures of all exterior angles of a convex polygon. A decagon have 10 sides.

Since ∠1 = 36°, then each other angle should measure the same, 36°.

In order to know whether the sum of all the angles equal 360°,
we need to multiply:  36° x 10.

36° x 10= 360°.

And sure enough the answer is correct.

Answer:

x - intercept: (3, 0)

y - intercept: (0, 9)

Step-by-step explanation:

This equation is written in standard form,

To find the intercepts it would be easier to put the equation in

slope-intercept form y = mx + b

9x + 3y = 27

subtract 9x from both sides

(9x - 9x) + 3y = 27 - 9x

3y = 27 - 9x

Divided both sides by 3

3y / 3 = 27 - 9x / 3

y = 27 / 3 - 9x / 3

y = - 3x + 9

Now we can plug in x = 0, to find y - intercept:

y = - 3(0) + 9

y = 0 + 9

y = 9

Now we can plug in y = 0, to find x - intercept:

0 = - 3x + 9

0 - 9 = - 3x + 9 - 9

-9/3 = -3x/3

-3 = -x

3 = x

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The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.

Especially, he has been credited with proving the following five theorems:  a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same;  the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.

In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.

In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a  theorem and is maximum extensively used in the domain of science.

2-1and interval = [4]

since function text is continuous in a given interval. And also

+(4) = 42+4 = 4-1

20 = 6667

$(5/4) = ($145/2

stone-1

= 5.833

simple, f(4) > $(5/2), hence Intermediate

Theorem & applies to the indicated proved.

Now,

= 6 C-1

C-5c +6 = 0

C=2 or c=3

1=3 or

C= 2, 3

<= 2

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The angle m∠A can be represented as follows:

The above circle, a secant and a tangent intersect outside the circle.

A secant is a straight line that intersects a circle in two points.

A tangent  is a line that never enters the circle's interior.

Therefore, when a secant and a tangent intersect, the following rules applies:

m∠A = 1 / 2 (BD - BC)

m∠A = 1 / 2 (164 - 70)

m∠A = 1 / 2 (94)

m∠A = 47 degrees.

Therefore, the angle m∠A can be represented as follows:

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Answer:

182,156.8

Step-by-step explanation:

214 x 912 x 14 = 2,732,352

1/15 of that Volume is 182,156.8

P.S. I'm assuming you meant 1/15, when you said the volume was 15 of

Follow my gram it's Greyhasnoshame

330 ways can the instructor choose the first group of four education students.

What is probability in math?

Given:

12 students

3 groups consisting of 4 students.

Mark can't be in the first group.

The combination formula that I used is =  n! / r!(n-r)!

where: n = number of choices ; r = number of people to be chosen.

This is the formula I used because the order is not important and repetition is not allowed.

Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.

numerator: n! = 11! = 39,916,800

denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960

Combination = 39,916,800 / 120,960 = 330

Therefore, There are 330 ways that the instructor can choose 4 students for the first group.

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Answer:

y does not depend on x - it is not a function

That leaves (2) or (4)

Since one does not need y in the equation (4) is eliminated

(2) is the only possible result

For example:        x = 5

Answer:

-13x²+24x+6

Hope this helps:)

The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the number of pounds of bananas sold and y represent the grapes sold, hence:

x + y = 52   (1)

Also:

x + 2.25y = 72    (2)

The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

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Answer:

5.75 - 5 3/4

Step-by-step explanation:

1 Cup = 0.0625 gallons

92 cups = 5.75 gallons

It's tempting to say that increasing the speed limit has led to higher accident rates, but you have to be careful because other variables (e.g. cheaper gas or time of year the change was introduced) can also affect accident rates. The option C is correct.

Given the impact of the speed limit increase from 55 to 65 mph, there are more crashes in the 6 months after the speed limit change than in the 6 months before the speed limit change. speed.

The dependent variable is the variable that is attempted and expected in a survey and is "dependent" on the free aspect. In a survey, the scientist tries to find the conceivable influence on the reliable variable, which can be approximated by changing the free thing. The free aspect is the variable that the experimenter adjusts or controls, and should directly affect the dependent variable. Therefore, increasing the speed limit from 55 to 65 mph resulted in higher accident rates, you have to be careful with other variables.

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Answer:q = 6+43r/9

Step-by-step explanation:

Assuming R=9q-43r-6 is what you meant
R+6 = 9q - 43r
R + 6 + 43r = 9q
q = 6+43r/9

its c! there isnt a decrease between x = -1 and x = 0, as when x = -1 y = 0 and when x = 0 y = 2, showing an increase of +2.

Last option, (-2,6) where the lines intercept / cross over each other.

Hope this helps!

In regression, the difference between the confidence interval and the prediction interval formula is "The addition of 1 to the quantity under the radical sign i.e., standard error".

The formula for the confidence interval is

[tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE([tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))

The formula for prediction interval is

Prediction interval = Sample estimate ± (t multiplier × standard error)

[tex]y_{new}[/tex] = [tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE(1 + [tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))

Where μ = x bar.

From the above, the prediction interval has one additional MSE term in the standard error calculation. But in the confidence interval, only one term is used.

So, the difference between them occurs in the standard error value.

The formula shows it by adding 1 to the quantity under the radical sign.

Thus, the difference is in the standard error.

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for 5 bucks a plate its 39 for 6 bucks its 33

Step-by-step explanation:

Answer: x = 9 and x  = 6

Step-by-step explanation:

[tex]x^2-15x+54=0\\(x-9)(x-6)\\x-9=0\\x=9\\x-6=0\\x=6[/tex]

Therefore, x = 9 and x  = 6

Answer:

shown below

Step-by-step explanation:

1) tanY = 0.2334

Y = arctan(0.2334)

Y = 13.14 degrees

2) X = 12 / tan(40)

X = 14.3km

3) x = arctan(5/8)

x = 32°

The inverse of a function is given as √x - 1

To get the inverse of any function f(x) we need to ensure that it passes the horizontal line test.

Given the following function

f(x) = (x+1)^2

Let y= f(x) to have:

y = (x+1)^2

Replace y with x to have:

x = (y+1)^2

Make y the subject of the formula

√x =y + 1

Subtract 1 from both sides

√x - 1 = y

Swap

y = √x - 1

Hence the inverse of a function is given as √x - 1

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Answer:

Round the decimal values however needed.

Step-by-step explanation:

The uppercase letters represent the angles, while the lowercase counterparts are the side lengths opposite said angle. For example, side b is opposite angle B.

Angle B is 41 and angle C is 90 because of the square marker. The remaining angle A is...

A+B+C = 180

A+41+90 = 180

A+131 = 180

A = 180-131

A = 49

Or note that

A = 90 - B = 90 - 41 = 49

This shortcut works since we have a right triangle.

---------

That takes care of the angles. Now onto the sides.

We'll need to use trig ratios to determine the missing sides. There are a few approaches, but this is one you could take

tan(angle) = opposite/adjacent

tan(A) = a/b

tan(49) = a/15

a = 15*tan(49)

a = 17.255526 approximately

Furthermore,

sin(angle) = opposite/hypotenuse

sin(B) = b/c

sin(41) = 15/c

c*sin(41) = 15

c = 15/sin(41)

c = 22.863796 approximately

There is another trig function (cosine) that you could use. Also, you could use the pythagorean theorem once you know two sides of the right triangle.

The pythagorean theorem is a^2+b^2 = c^2

The answers have been confirmed with GeoGebra which is a useful geometry app.