It takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor is 80%. Time required for the production of the eleventh 787 : 11th unit time hours (round your response to the nearest whole number).

The cost-minimizing value of labor (L) as a function of q, w, r, a, and b is:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

To find the cost-minimizing value of labor (L) as a function of output (q), the cost of labor (w), the cost of capital (r), and the Cobb-Douglas production function parameters (a and b), we can use the concept of minimizing the cost function subject to the production function constraint.

Given the Cobb-Douglas production function: q = AL^a * K^b

The cost function is given by: C = wL + rK

To minimize the cost function, we need to find the optimal value of L that minimizes the cost while producing the desired output level (q).

We can start by rearranging the Cobb-Douglas production function to solve for K:

K = (q / (AL^a))^ (1/b)

Substitute this expression for K in the cost function:

C = wL + r * ((q / (AL^a))^ (1/b))

To minimize the cost function, we differentiate it with respect to L and set the derivative equal to zero:

dC/dL = w - (ar/q) * ((q / (AL^a))^ (1/b)) * (1/b) * (AL^a)^ (1/b - 1) * aL^(a-1)

Setting dC/dL = 0 and solving for L:

w - (ar/q) * ((q / (AL^a))^ (1/b)) * (1/b) * (AL^a)^ (1/b - 1) * aL^(a-1) = 0

Simplifying the equation:

w = (ar/q) * (AL^a)^ (1/b - 1) * aL^(a-1)

Divide both sides of the equation by w:

1 = (ar/qw) * (AL^a)^ (1/b - 1) * aL^(a-1)

Rearranging the equation:

L^(1 - a) = (qwar)^ (1/b - 1) * (A^ (1/b - 1)) * a/b

Taking the reciprocal of both sides:

L^ (a - 1) = (b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))

Taking the power of (1 / (a - 1)) on both sides:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

Therefore, the cost-minimizing value of labor (L) as a function of q, w, r, a, and b is:

L = ((b/a) * (qwar)^ (1 - 1/b) * (A^ (1 - 1/b))) ^ (1 / (a - 1))

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Answer:

y = 24

angle V = 67

as a 4 sided shape, the angles all have to add up to 360 degrees.

we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.

Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.

(x+95) = 120

   -95     -95

       x = 25

We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!

360 - 53 -120 - 120 = 67

Angle V is 67

Now to find y!

(2y+19)=67

     -19  -19

     2y = 48

     /2     /2

       y = 24

The correct answer is option D.which is -4 ≤ x ≤ 1.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

in the graph, we can see that the value of x is increasing from -4 coordinate of x to the 1 coordinate of x so the interval will be given as -4 ≤ x ≤ 1.

Therefore the correct answer is option D.which is -4 ≤ x ≤ 1.

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Answer: Total Lateral Area 96in^2^2 Surface Area 108in^2

Step-by-step explanation:

Lateral Areal:

LA=Ph

P=4+4+4=12 h=8 12(8)=96in^2

Surface Area:

B=1/2(4)(3)=6 SA=12(8)+2(6)=108in^2

The probability of the intersection of events A and B, P(A and B), is equal to 0.7.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The probability of the intersection of events A and B, denoted as P(A and B) or P(A ∩ B), can be found using the formula:

P(A and B) = P(BA) = P(A) * P(B | A)

Given the information provided:

P(A) = 0.3

P(B) = 0.79

P(BA) = 0.7

We can use the formula to calculate P(A and B):

P(A and B) = P(BA) = P(A) * P(B | A) = 0.3 * P(B | A)

To find P(B | A), we can use the formula for conditional probability:

P(B | A) = P(BA) / P(A)

Substituting the values:

P(B | A) = P(BA) / P(A) = 0.7 / 0.3

Now, let's calculate P(A and B):

P(A and B) = P(BA) = P(A) * P(B | A) = 0.3 * P(B | A) = 0.3 * (0.7 / 0.3) = 0.7

Therefore, the probability of the intersection of events A and B, P(A and B), is equal to 0.7.

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The area of the shaded parallelogram is 20 square centimeters.

To find the area of the shaded parallelogram, we need to determine the base and height of the parallelogram. The base of the parallelogram is given by the length of one of its sides, and the height is the perpendicular distance between the base and the opposite side.

Looking at the diagram, we can see that the base of the parallelogram is the side measuring 4 cm. To find the height, we need to identify the perpendicular distance between the base and the opposite side.

In this case, the opposite side is the side of the rectangle measuring 10 cm, and we can see that the height of the parallelogram is equal to the side length of the rectangle that is not part of the parallelogram, which is 5 cm.

Now that we have the base and height, we can calculate the area of the parallelogram using the formula:

Area = base × height

Area = 4 cm × 5 cm

Area = 20 cm²

Therefore, the area of the shaded parallelogram is 20 square centimeters.

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The area of the parallelogram shaded in the rectangle in this problem is given as follows:

54 cm².

The area of the rectangle is obtained as the multiplication of it's dimensions, as follows:

12 x 6 = 72 cm².

The area of each right triangle is half the multiplication of the side lengths, hence:

2 x 1/2 x 3 x 6 = 18 cm².

Hence the area of the parallelogram is given as follows:

72 - 18 = 54 cm².

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Notice that

Then, the factors of both quantities are:

and

Then, the GCF is 5x^2

If B is the midpoint of AC and C is the midpoint of BD, then AB=CD.

Given that B is midpoint of AC and C is the midpoint of BD.

We are required to prove that AB is equal to CD.

Midpoint is the point which divides the line segment into two equal parts.

If B is midpoint of AC then,

2AB=AC-----1

2BC=AC-----2

If C is midpoint of BD then,

2BC=BD-----3

2CD=BD-----4

From 1 & 2

2AB=2BC

AB=BC

Put the value of BC from 3.

AB=BD/2

Now put the value of BD from 4.

AB=2CD/2

AB=CD

Hence proved

Hence if B is the midpoint of AC and C is the midpoint of BD, then AB=CD.

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For every f(x) change the x with the given value.

a.

x³-5x²+6x-4 ..........change the x with 2

(2)³-5(2)²+6(2)-4

8-20+12-4

-4

b.

4x³+3x²+x+2 .... .same here change x to 1

4(1)³+3(1)²+(1)+2

4+3+1+2

10

c.

2x^4-x³+3x²-1 ...........change x as -1

2\((-1)^{4}\)-(-1)³+3(-1)²-1

2+1+3-1

5

d.

2x³-6x-5 ................change x with -3

2(-3)³-6(-3)-5

2(-27)+18-5

-41

Step-by-step explanation:

that feels really so difficult to you ?

what is it you don't understand ? because this is really very easy. we take the input value as x and simply calculate the result.

1

f(x) = x³ - 5x² + 6x - 4

f(2) = 2³ - 5×2² + 6×2 - 4 = 8 - 20 + 12 - 4 = -4

2

f(x) = 4x³ + 3x² + x + 2

f(1) = 4×1³ + 3×1² + 1 + 2 = 4 + 3 + 1 + 2 = 10

3

f(x) = 2x⁴ - x³ + 3x² - 1

f(-1) = 2×(-1)⁴ - (-1)³ + 3×(-1)² - 1 = 2×1 + 1 + 3 - 1 = 5

4

f(x) = 2x³ - 6x - 5

f(-3) = 2×(-3)³ - 6×-3 - 5 = -54 + 18 - 5 = -41

5

f(x) = x³ - 4x² - x

f(4) = 4³ - 4×4² - 4 = (4³ - 4³) - 4 = -4

6

f(x) = x³ + 2x² - 2x - 1 divided by x -1 = x² + 3x + 1

- x³ - x²

-----------------------

0 + 3x² - 2x

- 3x² - 3x

---------------------------

0 + x - 1

- x - 1

--------------------------------

0 remainder, so, yes, x-1 is a factor.

7

f(x) = 4x² + 13x + 10 divided by x + 2 = 4x + 5

- 4x² + 8x

-----------------------

0 + 5x + 10

- 5x + 10

‐------------------------------

0 remainder, so x + 2 is a factor.

8

let's now try the factor theorem (the term is a factor if the zero point of the term is also a zero point of the whole function).

the zero point of x - 2 is x = 2.

f(x) = 4x² + 13x + 10

f(2) = 4×2² + 13×2 + 10 = 16 + 26 + 10 = 52 and not 0, therefore, x - 2 is NOT a factor.

9

the zero point of x + 3 is x = -3

f(x) = 3x³ + 10x² + x - 6

f(-3) = 3×(-3)³ + 10×(-3)² + (-3) - 6 = -81 + 90 - 3 - 6 = 0

so, x + 3 is a factor.

10

the zero point of x - 5 is x = 5.

so, f(5) must be 0 for x-5 to be a factor.

f(x) = 2x³ - 13x² + kx + 10

f(5) = 2×5³ - 13×5² + 5k + 10 = 250 - 325 + 5k + 10 =

= -65 + 5k

and that has to be 0.

0 = -65 + 5k

65 = 5k

k = 13

so, x-5 is a factor of 2x³ - 13x² + 13x + 10

Answer:

No, it is irrational

Step-by-step explanation:

8/6 is 1.333333333 a rational number is a whole while irrational never ends.

hope this helps!

Answer:

yes, 8/6 is  a rational number

Answer:

22.98

Step-by-step explanation:

The right triangle that contains the diagonal the problem asks for has legs c and e and a hypotenuse d. You will need another right triangle to find the value of e. Using the base of the container, you have a right triangle with legs a and b and a hypotenuse e. The container is 8 ft wide. This is the value of b. The container is 20 ft long. This is the value of a.

a2+b2=e2202+82=e2400+64=e2464=e2464−−−√=e2−−√±21.54≈e

The problem tells you that the container is 8 ft tall. This is the value of c. Now that you have e, you can solve for d.

c2+e2=d282+(21.54)2≈d264+464≈d2528≈d2528−−−√≈d2−−√±22.98≈d

The length of a diagonal from a top corner to the opposite bottom corner of the container is approximately equal to 22.98 ft. Remember that length cannot be negative.

Answer:

I am sorry thats a lot to type out.

Step-by-step explanation:

I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)

Answer:

Whole numbers: 3, \(\sqrt{4}\), \(\frac{49}{7}\), zero

Integer but not whole: -100, -34, -4, -\(\frac{8}{4}\)

Rational number: 9.23456, \(\frac{1}{2}\), \(\frac{89}{10}\), 0.333_

Irrational number: \(\pi\), 0.456783_, \(\sqrt{8}\)

Step-by-step explanation:

Whole number is any number that does not have a decimal and is not negative. \(\sqrt{4}\) = 2. \(\frac{49}{7}\) = 7. 0 is not negative and does not have a decimal so it is also a whole number.

Integers are any number that does not have a decimal and can be both positive or negative. -\(\frac{8}{4}\) = -2.

A rational number can have a decimal but the decimal digits must terminate or the digit must repeat.  \(\frac{1}{2}\) is 0.5.  \(\frac{89}{10}\) is 8.9 and 0.333_ repeats the digit 3 so it is rational.

An irrational number can have a decimal and the decimal digits must list on forever or not repeat. \(\pi\) is naturally an irrational number as it does not repeat and it spreads on forever. 0.456783_ does not repeat and goes on forever due to the dash at the back. \(\sqrt{8}\) is also not rational.

The endpoints of the other diagonal are ((1/2) * (13 - √146), 11.5) and ((1/2) * (√146 + 13), 11.5).

Let's first find the length and midpoint of the diagonal with endpoints (4, 6) and (9, 17):

Length of diagonal = √[(9 - 4)² + (17 - 6)²] = √(5² + 11²) = √146

Midpoint of diagonal = [((4 + 9) / 2), ((6 + 17) / 2)] = (6.5, 11.5)

Now, we know that the other diagonal is parallel to the x-axis. Let's call the endpoints of this diagonal (a, b) and (c, b), where b is the y-coordinate of the midpoint of the first diagonal, which we just found as 11.5.

Since the rectangle is a right-angled shape, we know that the length of the diagonal with endpoints (a, b) and (c, b) is equal to the length of the diagonal with endpoints (4, 6) and (9, 17):

√[(c - a)² + (b - b)²] = √146

Simplifying this equation, we get:

√[(c - a)²] = √146

Taking the square of both sides, we get:

(c - a)² = 146

We also know that the midpoint of this diagonal is (6.5, 11.5). So we can write:

(a + c) / 2 = 6.5

Solving these two equations simultaneously, we get:

c - a = √146 ... (1)

a + c = 13 ... (2)

Adding equations (1) and (2), we get:

2c = √146 + 13

c = (1/2) * (√146 + 13)

Substituting this value of c in equation (2), we get:

a = 13 - c

a = (1/2) * (13 - √146)

Therefore, the endpoints of the other diagonal are ((1/2) * (13 - √146), 11.5) and ((1/2) * (√146 + 13), 11.5).

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The coordinates of the ends of one diagonal of a rectangle are (4,6) and (9,17) . If its other diagonal is parallel to the x-axis, find its ends coordinates.

Based on the scatter plot for this data, we can logically deduce that the association between them is a positive association.

A scatter plot can be defined as a type of graph which is used to graphically represent the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

Based on the scatter plot for this data, we can deduce that the association between them is a positive association because the price and customer rating increases together.

An example of a data point which would affect the appropriateness of using a linear regression model to fit all the data is car price of $4,601 and customer rating of 100.

An example of a car that is cost effective and rated highly by customers is the one with a customer rating of 100 and sold at $3,500.

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Answer

Step-by-step explanation:



Answer:

\(x = 1.48 \: and \: y = - 1.38\)

Step-by-step explanation:

\(first \: equation\)

\(x - 4y = 7\)

\(second \: equation\)

\(5x + y = 6\)

\(from \: equation \: 1 \\ make \: x \: the \: subject \: of \: formula \\ x = 7 + 4y\)

\(x =7 + 4y \: {equation \: 3}\)

\(substitutefor \: x \: in \: equation \: 2\)

\(5x + y = 6 \\ 5(7 + 4y) + y = 6 \\ 35 + 20y + y = 6 \\ 35 + 21y = 6 \\ 21 y = 6 - 35 \\ 21y = - 29 \\ \)

\(y = \frac{ - 29}{21} \)

\(y = - 1.38\)

\(subsitute \: for \: y \: into \: equation \: 3\)

\(x = 7 + 4y \\ x = 7 + 4( - 1.38) \\ x = 7 - 5.52 \\ x = 1.48\)

Answer:

12.7, because the absolute value gets rid of the negative integer, and shows it true value which is positive 12.7.

Step-by-step explanation: Have a Happy Thursday :)

Answer:

7 alternate interior

8 vertical angles

9 corresponding

Step-by-step explanation:

Answer:

sorry i don't rlly know

Step-by-step explanation:

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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Answer:

$31.50

Step-by-step explanation:

First you need to find out how much a single pound costs($12/8 lbs). That ends up equaling $1.50, so multiply that by 21 and you got the answer. :)

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Steps to convert decimal into fraction

Write 4.005 as  

4.005

-----------

1

Multiply both numerator and denominator by 10 for every number after the decimal point

4.005 × 1000

---------------------

1 × 1000

=  

4005

-----------

1000

Reducing the fraction gives

801

--------

200

By following the steps outlined above and simplifying the equation, we have successfully proven that (1 - tan⁴A) cos⁴A = 1 - 2sin²A.

To prove the equation (1 - tan⁴A) cos⁴A = 1 - 2sin²A, we can start with the following steps:

Start with the Pythagorean identity: sin²A + cos²A = 1.

Divide both sides of the equation by cos²A to get: (sin²A / cos²A) + 1 = (1 / cos²A).

Rearrange the equation to obtain: tan²A + 1 = sec²A.

Square both sides of the equation: (tan²A + 1)² = (sec²A)².

Expand the left side of the equation: tan⁴A + 2tan²A + 1 = sec⁴A.

Rewrite sec⁴A as (1 + tan²A)² using the Pythagorean identity: tan⁴A + 2tan²A + 1 = (1 + tan²A)².

Rearrange the equation: (1 - tan⁴A) = (1 + tan²A)² - 2tan²A.

Factor the right side of the equation: (1 - tan⁴A) = (1 - 2tan²A + tan⁴A) - 2tan²A.

Simplify the equation: (1 - tan⁴A) = 1 - 4tan²A + tan⁴A.

Rearrange the equation: (1 - tan⁴A) - tan⁴A = 1 - 4tan²A.

Combine like terms: (1 - 2tan⁴A) = 1 - 4tan²A.

Substitute sin²A for 1 - cos²A in the right side of the equation: (1 - 2tan⁴A) = 1 - 4(1 - sin²A).

Simplify the right side of the equation: (1 - 2tan⁴A) = 1 - 4 + 4sin²A.

Combine like terms: (1 - 2tan⁴A) = -3 + 4sin²A.

Rearrange the equation: (1 - 2tan⁴A) + 3 = 4sin²A.

Simplify the left side of the equation: 4 - 2tan⁴A = 4sin²A.

Divide both sides of the equation by 4: 1 - 0.5tan⁴A = sin²A.

Finally, substitute 1 - 0.5tan⁴A with cos⁴A: cos⁴A = sin²A.

Hence, we have proven that (1 - tan⁴A) cos⁴A = 1 - 2sin²A.

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We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

150u+90

Step-by-step explanation:

..

Answer:

In (5u+3) 5 is a constant

Step-by-step explanation:

The given statement, "The sampling distribution of a single proportion is approximately normal if the number of successes or the number of failures is greater than or equal to 10" is True.

The sampling distribution of a single proportion is approximately normal if the sample size is large enough and the number of successes or the number of failures is greater than or equal to 10. This is known as the normal approximation of the binomial distribution.

The normal approximation to the binomial distribution is based on the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution. In the case of the binomial distribution, the sample mean is the proportion of successes, and as the sample size increases, the sampling distribution of the sample proportion approaches a normal distribution.

When the number of successes or the number of failures is less than 10, the normal approximation to the binomial distribution may not be valid, and alternative methods, such as the exact binomial distribution or the Poisson approximation, may need to be used.

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Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.

Let's start by setting up an equation to represent the cost of renting a copier from each company:

Cost for company A = 0.10x + 200

Cost for company B = 0.05x + 400

where x is the number of copies made in a month.

To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:

0.10x + 200 = 0.05x + 400

0.05x = 200

x = 4000

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Answer:

37.5%

Step-by-step explanation:

3/8=.375

Convert into percentage

37.5%

2/5 as a fraction cannot be expressed as a whole number of millimeters because millimeters are a unit of length, and fractions are a mathematical concept representing parts of a whole.

2/5 fraction epresents 2 parts of a whole that have been divided into 5 equal parts; it does not have a physical measurement in millimeters.

If you're trying to convert a length from fractional inches to millimeters, you would need to first convert the fractional inches to inches (e.g., 2/5 inches), then convert the inches to millimeters (1 inch = 25.4 millimeters).

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Answer: Based on the given conditions, formulate:

1.64+385*tan(33°)

Calculate the approximate value:

1.64+385*0.649408

Calculate:

251.66208

Round

to the required place Click for video about rounding: 251.7

Answer: 251.7

btw the * is multiply

Hope this helps!!!