Find each value or measure.

For the given square, m∠OKL=45° and m∠MOL=90°.

A square is a regular quadrilateral in Euclidean mathematics because it has four equal sides and four equal angles (right angles, 90-degree angles). It can also be explained as a rectangle with two adjacent sides that are of identical length. It is the only regular polygon whose diagonals are all the same length and whose internal, central, and exterior angles are all equal (90°).

In mathematics, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal sections. An angle bisector is a beam that divides an angle into two identical segments of the same length.

Angle bisector points are equally spaced from both angle lines.

Any angle, including acute, obtuse, and right angles, can have an angle bisector traced to it.

In the given square,

The diagonals NL and KM are angle bisectors of ∠K, ∠L, ∠M and ∠N.

Therefore, ∠OKL= 90/2

                  ∠OKL=45°

We know that, in a square, diagonals are equal and bisect each other at right angles.

Therefore, ∠MOL=90°

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Benito and his family will save $1,315 by the move to Oakland.

Savings in house = $1200 - $565

                               = $635

Savings in food = $655 - $545

                          = $110

Saving in health care = $495 - $245

                                   = $250

Saving in taxes  = $625 - $450

                          = $175

Saving in necessities = $495 - $350

                                   = $145

Total saving = $635 + $110 + $250 + $175 + $145

                    = $1,315.

Hence, Benito and his family will save $1,315 by the move to Oakland.

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Your question is incomplete, the complete question is:

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities.

Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

How much money will they save monthly by the move to Oakland? $1315, $1560, $1665, or $1765?

The average percentage of time spent studying is 8.64%.

To find the average percentage of time spent studying, we need to first add up the total hours and total percentage of all the students. Then, we can divide the total percentage by the total hours to find the average percentage of time spent studying.

Total hours = 18 + 10 + 2 + 6 + 8 = 44 hours
Total percentage = 100% + 80% + 50% + 70% + 80% = 380%

Average percentage = Total percentage / Total hours = 380% / 44 hours = 8.64%
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Complete question

Find the average percentage of time spent on studying. data. Nina: 18 hours, 100%; Johannes: 10 hours, 80%; Al-Rahim: 2 hours, 50%; Caroline: 6 hours, 70%; Saul: 8 hours, 80%

Answer:

enter the step by step answer u did and then add the number the match and enter them in the box and u shall be done

Step-by-step explanation:

If FG = 8, EH = x - 1: EG = x + 1​

In order to find EG, we need to use the fact that the sum of the lengths of the segments EF and FG is equal to the length of segment EG. That is,

EF + FG = EG

We are given that FG = 8, and we know that EH + HF = EF. Therefore,

EF = EH + HF

Putting this all together, we get:

EF + FG = EG

(EH + HF) + 8 = x + 1

EH + HF = x - 7

But we also know that EH = x - 1, so we can substitute that in:

x - 1 + HF = x - 7

Simplifying this equation, we get:

HF = -6

Now we can use the fact that the sum of the lengths of the segments EH and HF is equal to the length of segment EF. That is,

EH + HF = EF

(x - 1) + (-6) = EF

x - 7 = EF

Finally, we can substitute this value for EF into our original equation to find EG:

EF + FG = EG

(x - 7) + 8 = EG

x + 1 = EG

Therefore, EG = x + 1.

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Using midpoints, The length of RY is (9x - 1)/2 cm.

A midpoint is a point that is exactly halfway between two other points. In geometry, the midpoint of a line segment is the point on that line segment that is equidistant from both endpoints.

For example, in a line segment AB, the midpoint M is the point on AB that is equidistant from A and B. In other words, the distance from A to M is the same as the distance from M to B. The midpoint M is located at the exact center of line segment AB, and it divides the segment into two equal parts.

The midpoint can also be thought of as the average of the x-coordinates and y-coordinates of the endpoints. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint has coordinates:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Since R is the midpoint of XY, we know that RX = RY.

We are given that XR = 5x+2 cm and XY = 14x+1 cm.

Thus, RX + RY = XY

Substituting RX = RY, we get:

RY + RY = 14x + 1 - (5x + 2)

Simplifying the right side, we get:

RY + RY = 9x - 1

2RY = 9x - 1

RY = (9x - 1)/2

Therefore, the length of RY in cm is (9x - 1)/2.

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-14w + 35  is the  simplified answer of  (2w-5)(-7).

The distributive property states that for two numbers a and b, a(b+c) = ab + ac. This means that multiplying a number by a sum is the same as multiplying each number in the sum by the original number.

To simplify the expression (2w-5)(-7) using the distributive property, we need to multiply each term inside the parentheses by -7.

The distributive property states that a(b + c) = ab + ac. In this case, a = -7, b = 2w, and c = -5.

So, using the distributive property, we can simplify the expression as follows:

(2w-5)(-7) = (-7)(2w) + (-7)(-5)

= -14w + 35

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Answer:

Step-by-step explanation:

Ratio of corresponding sides are equal.

[tex]\tt \cfrac{BD}{FD} =\cfrac{AC}{EC}[/tex]

[tex]\tt \cfrac{BC}{30} =\cfrac{16}{40}[/tex]

[tex]\tt BD=30\left(\frac{2}{5}\right)[/tex]

[tex]\tt BC=6\cdot \:2[/tex]

[tex]\tt BD =12[/tex]

Therefore, the length of BD is 12.

___________________________

Hope this helps! :)

Answer:

w ≈ 640 feet

Step-by-step explanation:

Let's call the distance from the hiker's position to the closest edge of the river "x", and the width of the river "w". We can use trigonometry to set up two equations involving these values:

In the first triangle, the angle of depression is 63 degrees, and the opposite side is x + w. Therefore, we can use the tangent function:

tan(63) = (x + w) / 1250

In the second triangle, the angle of depression is 61 degrees, and the opposite side is x. Therefore, we can use the tangent function again:

tan(61) = x / 1250

Now we can solve these equations for "w" and "x", respectively:

w = 1250 * tan(63) - x

x = 1250 * tan(61)

Substituting the second equation into the first:

w = 1250 * tan(63) - 1250 * tan(61)

Plugging this into a calculator, we get:

w ≈ 640 feet

Therefore, the width of the river is approximately 640 feet rounded to the nearest foot.

Vοlume οf the Pyramid is 21 cm³

A prism is a sοlid shape with twο identical parallel bases and flat sides that cοnnect the bases. The sides οf a prism are usually rectangles, but they can alsο be triangles οr οther pοlygοns.

A pyramid is a sοlid shape with a pοlygοnal base and triangular sides that meet at a single pοint called the apex.

When a prism have same base area and height as that οf a pyramid the vοlume οf the prism is three times that οf the pyramid.

=> Vοlume οf prism = 3 Vοlume οf pyramid

Here we have

The prism and pyramid abοve have the same width, length, and height.  

The vοlume οf the prism is 63 cm³  

As we knοw,

Vοlume οf prism = 3 Vοlume οf pyramid

The vοlume οf the Pyramid = [ Vοlume οf prism ]/ 3

= [ 63 cm³]/3 = 21 cm³  

Therefοre,

Vοlume οf the Pyramid is 21 cm³

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Answer:

Yes, the triangle is right-angled since one of the angles is 90°

Step-by-step explanation:

The sum of the three angles of a triangle must add up to 180°

Here the three angles are 3x – 7, 4x – 1, and 5x + 20.

Adding them up gives

3x – 7 + 4x – 1 + 5x + 20 = 180

Grouping like terms:
3x + 4x + 5x - 7 - 1 + 20 = 180

12x + 12 = 180

12x = 180 - 12 = 168

x = 168/12 = 14

Substituting this value of x into each of the expressions:
3x – 7  = 3(14) - 7 = 42 - 7 = 35°

4x – 1 = 4(14) - 1 = 56 - 1 = 55°

5x + 20 = 5(14) + 20 = 70 + 20 = 90°

Since one of the angles is 90° it is indeed a right angled triangle

Because it only covers those who are entering the sports centre, the survey will be prejudiced.

This means that the survey will only reflect the opinions of those who are likely to have positive perceptions of the sports facilities and who are interested in using them. It does not include the viewpoints of those who do not use or hold a poor opinion of the sporting facilities.

Those who don't use the facilities, for instance, could have bad perceptions of the sports centre if it is renowned for being pricey or challenging to get to. The survey will miss important information if it simply polls visitors to the sports centre.

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A \times B \times C = \left[\begin{array}{ll} -40 & -60 \\ -68 & 70 \\ 6 & 0 \end{array}\right]

To find the product of the matrices A, B and C, we can use the following equation:



$$A \times B \times C = \left[\begin{array}{lll} (A \times B)_{11} & (A \times B)_{12} & (A \times B)_{13} \\ (A \times B)_{21} & (A \times B)_{22} & (A \times B)_{23} \\ (A \times B)_{31} & (A \times B)_{32} & (A \times B)_{33} \end{array}\right] \times C = \left[\begin{array}{ll} (A \times B \times C)_{11} & (A \times B \times C)_{12} \\ (A \times B \times C)_{21} & (A \times B \times C)_{22} \\ (A \times B \times C)_{31} & (A \times B \times C)_{32} \end{array}\right]$$



To find each element of the product, we use the following equation:



$$(A \times B \times C)_{ij} = \sum_{k=1}^{3} A_{ik} \times B_{kj} \times C_{ij}$$



Where $i$ and $j$ represent the row and column numbers respectively. For example, to find the element $(A \times B \times C)_{11}$, we have:



$$(A \times B \times C)_{11} = \sum_{k=1}^{3} A_{1k} \times B_{k1} \times C_{11} = (-5 \times -8 \times -4) + (1 \times 7 \times -4) + (-7 \times 5 \times -4) = -40$$



Therefore, the product of A, B and C is:



$$A \times B \times C = \left[\begin{array}{ll} -40 & -60 \\ -68 & 70 \\ 6 & 0 \end{array}\right]$$

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The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials.

A polynomial doesn't need to have rational zeros. But if it has rational roots, then they can be found by using the rational root theorem.

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Three rational expressions that simplify to (x)/(x+1) are:

1) (x+2-2)/(x+1)
2) (2x-3x+3)/(2x+2-3x+1)
3) (3x+5-5-2x)/(x+2+1-2)

To simplify these expressions, we can combine like terms in the numerator and denominator:

1) (x+2-2)/(x+1) = (x)/(x+1)
2) (2x-3x+3)/(2x+2-3x+1) = (-x+3)/(-x+3) = (x)/(x+1)
3) (3x+5-5-2x)/(x+2+1-2) = (x)/(x+1)

As shown, all three expressions simplify to (x)/(x+1), fulfilling the requirements of the question.

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Answer: if there is a none of the above answer I would choose that otherwise your best bet might be A.  

Answer: A maximum height corresponds to:

B. h(t) = 26,200 - 16t^2

A minimum height corresponds to:

C. h(t) = 6 for 7 ≤ t ≤ 8

Height staying the same corresponds to:

D. h(t) = 12 for 2 ≤ t ≤ 3

Starting height corresponds to:

A. h(0) = 7

Using the provided data, we can find the function values that correspond to the given times:

h(1.5) = 26,200 - 16(1.5)^2 = 26,157

h(4) = 16

Therefore, the statement that corresponds to "6-7" is missing from the given options.

Step-by-step explanation:

In the given triangle of attached figure , the required value of x and y is given by option d. x=24.0,y=46.4 ( nearest tenth ).

Let us consider triangle name of the attached figure be ABC,

From vertex A perpendicular line intersect BC at point D.

From the attached figure,

Measure of ∠B = 45°

Measure of ∠C = 30°

Side length AC = 34 units

Side length AB = x units

Side length BC = y units

In triangle ADC,

sin C = AD / AC

Substitute the value we have,

⇒ sin 30° = AD / 34

⇒ AD = ( 1/2 )× 34

⇒ AD = 17

And cos C = CD / AC

Substitute the value we have,

⇒ cos 30° = CD / 34

⇒CD = 34 × cos 30°

⇒ CD = 34 × (√3 /2 )

⇒ CD = 29.45 units

In triangle ADB,

sin B = AD/ AB

⇒ sin 45° = 17 / x

⇒ x = 17 / sin 45°

⇒ x = 17 / ( 1/√2)

⇒ x = 17√2

⇒ x= 24.038 units

⇒ x= 24.0 units ( nearest tenth )

Now in triangle ABD,

cos B = BD/ AB

⇒ cos 45° = BD / 24.0

⇒ BD = 24 × cos 45°

⇒ BD = 24× (1/√2)

⇒ BD = 16.97units

y = BD + CD

 = 16.97 + 29.45

 = 46.42

  = 46.4 units ( nearest tenth )

Therefore , the value of x and y from the attached figure is equal to option d. x=24.0,y=46.4.

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The above question is incomplete, the complete question is:

Find the value of x and y to the nearest tenth.

a. x=48.1,y=46.4

b. x=48.1,y=139.3

c. x=24.0,y=139.3

d. x=24.0,y=46.4

Figure is attached.

Answer:

20 fries per minute.

Step-by-step explanation:

You are trying to find the amount of fries per minute, assuming that Sally eats the same amount each minute. It is given that there are 20 minutes and 400 fries in all. Divide the total amount of fries with the total amount of minutes:

(400 total fries)/(20 minutes) = (20 fries/minute)

20 fries per minute is your answer.

~

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The probability of choosing the lists of students from the class is given by combinations C = 2400 ways

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total ways of choosing the students from the class be C

Now , the total number of boys = 12 boys

The total number of girls = 10 girls

And , the lists are in the order

A = { boy , girl , boy }

B = { girl , boy , girl }

The total number of ways C = A + B

From the combination of selecting boys and girls , we get

The total number of selecting A = 12 x 10 x 11 = 1320 ways

The total number of selecting B = 10 x 12 x 9 = 1080 ways

So , the total number of selecting the lists C = 2400 ways

Hence , the probability of choosing the lists of students from the class is given by C = 2400 ways

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Answer: 2

Step-by-step explanation:

Answer and Explanation: The only even number that is not a composite number is 2. All even numbers are defined as numbers that are divisible by, or have a divisor of, 2.

Answer:

The answer to your question is, 2

Step-by-step explanation:

The reason why that is our answer is because, 2 can either be multiplied and divided but 2 NUMBERS.

Such as the following:

2 / 1 = 2.

1 x 2 = 2.

What is a composite number?

A composite number are numbers that have more than two factors like the number 2:

2 / 1 = 2.

1 x 2 = 2.

Thus the answer to your problem is, 2

The given differential equation is y" − 2y' + y = 0. To solve this equation, we need to use the characteristic equation, which is given by r^2 − 2r + 1 = 0.

The two solutions to this equation are r = 1 ± i. Thus, the general solution to the differential equation is y(x) = C_1e^(x) + C_2e^(-x)cos(x) + C_3e^(-x)sin(x).

We can use Maxima to verify our solution. To do this, we plug in the boundary conditions, y(π) = e ^π and y'^ (π) = 0, and solve for the constants C1, C2, and C3. This gives us C1 = 1, C2 = -1, and C3 = 0. Thus, the solution to the differential equation is y(x) = e^x - e^(-x)cos(x).

To plot the solution, we can use Maxima's plot2d function with the given solution.

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Answer:

the first one:  1:39

the second one: 7:12

the third one: 10:24

Step-by-step explanation:

the short hand points to the hour and the long hand points to the minutes. when the long hand is at 1, that's 5 minutes and when it's at 2, that's 10 minutes and so on and so forth. and each of the little dash marks in between the numbers is 1 minute.

i hope this was correct, i'm not great with time

Question 1:

Question 2:

Question 3:

By algebra properties, the factor form of polynomials are listed below:

In this problem we need to factor 13 cases of polynomials, whose results must be derived by algebra properties. The factor form of the polynomial is:

Case 1:

a² - b²

(a + b) · (a - b)

Case 2:

a³ + b³

(a + b) · (a² - a · b + b²)

Case 3:

a³ - b³

(a - b) · (a² + a · b + b²)

Case 4:

x⁴ - 36

(x² + 6) · (x² - 6)

(x² + 6) · (x + √6) · (x - √6)

Case 5:

64 · c³ + 1

(4 · c + 1) · (16 · c² - 4 · c + 1)

Case 6:

k³ - 27

(k - 3) · (k² + 3 · k + 9)

Case 7:

54 · x³ + 250 · y³

(∛54 · x + ∛250 · y) · [(∛54 · x)² - (∛54 · x) · (∛250 · y) + (∛250 · y)²]

Case 8:

3 · m⁴ - 48 · n²

(√3 · m² - 4√3 · n) · (√3 · m² + 4√3 · n)

3 · (m² - 4 · n) · (m² + 4 · n)

3 · (m - 2 · √n) · (m + 2 · √n) · (m² + 4 · n)

Case 9:

a⁷ · b² - a · b²

a · b² · (a⁶ - 1)

a · b² · (a³ + 1) · (a³ - 1)

a · b² · (a + 1) · (a² - a + 1) · (a - 1) · (a² + a + 1)

Case 10:

x³ · y² - 343 · y⁵

y² · (x³ - 343 · y³)

y² · (x - 7 · y) · (x² + 7 · x · y + 49 · y²)

Case 11:

9 · y⁷ - 144 · y

y · (9 · y⁶ - 144)

y · (3 · y³ - 12) · (3 · y³ + 12)

9 · y · (y³ - 4) · (y³ + 4)

9 · y · (y - ∛4) · [y² + ∛4 · y + (∛4)²] · (y + ∛4) · [y² - ∛4 · y + (∛4)²]

Case 12:

w² - 13 · w + 36

(w - 4) · (w - 9)

Case 13:

p³ + 5 · p² - 84 · p

p · (p² + 5 · p - 84)

p · (p + 12) · (p - 7)

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Answer: 30 millimeters

Step-by-step explanation:

Diameter = Circumference / π

Plug in values:

d = 94.2 / 3.14

d = 30

The diameter is 30 millimeters.

The measures of arcs and segments are

NK = 12, MLK = 41.5 degrees, JK = 24 and JPK = 277 degrees

Length NK

Given the triangle as the parameter.

Using the Pythagoras theorem, we have

NK = √(KL² - LN²)

So, we have

NK = √(15² - 9²)

Evaluate

NK = 12

The arc measure MK

Here, we start by calculating the central angle MLK

This is done using the following cosine ratio

cos(MLK) = NK/KL

cos(MLK) = 9/12

cos(MLK) = 0.75

Evaluate

MLK = 41.5 degrees

This means that

Arc MK = 41.5 degrees

Length JK

This is calculated as

JK = NK * 2

So, we have

JK = 12 * 2

JK = 24

The arc measure JPK

This is calculated as

JPK = 360 - 2 * MK

So, we have

JPK = 360 - 2 * 41.5 degrees

Evaluate

JPK = 277 degrees

Hence, the arc measure is 277 degrees

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To find the determinant of the given 5x5 matrix A, we need to convert it into an upper triangular form.

This means that all the values below the diagonal elements should be 0. Once we have the upper triangular form, we can find the determinant by taking the product of the diagonal elements.

To convert the given matrix into an upper triangular form, we can use elementary row operations. We can subtract multiples of the first row from the other rows to make the values below the first element 0. Then we can do the same for the second row, third row, and so on until we have an upper triangular matrix.

Once we have the upper triangular matrix, we can find the determinant by taking the product of the diagonal elements. The determinant of the given matrix A is the product of the diagonal elements of the upper triangular matrix.

So the steps to find the determinant of the given matrix A are:
1. Convert the given matrix into an upper triangular form using elementary row operations.
2. Take the product of the diagonal elements of the upper triangular matrix to find the determinant.

By following these steps, we can find the determinant of the given 5x5 matrix A.

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The percentage that is less than the average number of shoppers in the original store at any time is 60%.

Little's law is a fundamental principle in queueing theory that relates the average number of customers in a stable system to the average time that a customer spends in the system.

The law states that the average number of customers N in the system is equal to the average rate of customer arrivals r multiplied by the average time W that a customer spends in the system:

Here we have

For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes.

=> Number of shoppers per minute = 1.5    

=> Rate of shoppers per minute = 1.5

The manager estimates that each shopper stays in the store for an average of 12 minutes.

Hence, by Little’s law, the number of shoppers N = r × t

=> Number of shoppers = (1.5) × 12 = 18  

Let the estimated average number of shoppers in the original store at any time be 45.    

So, the number of shoppers is (45 - 18) less than the original i.e 27

Percentage  [ 27/45 ] × 100 = 60%  

Therefore,

The percentage that is less than the average number of shoppers in the original store at any time is 60%.

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If the ground already has an elevation of  15 degree. The degree that the ladder need to be set is 65.4 degrees.

Angle at which the ladder is set from the horizontal =  x.

Angle between the ladder and the ground =  (75 - 15 + x) degrees

Using trigonometry, we can write the equation:

tan(75 - 15 + x) = 10 / L

where:

L=  length of the ladder.

Simplifying the left-hand side using the trigonometric identity for the tangent of the difference of two angles, we get:

tan(60 + x) = 10 / L

Multiplying both sides by L, we get:

L * tan(60 + x) = 10

Dividing both sides by tan(60 + x), we get:

L = 10 / tan(60 + x)

Using a calculator, we can evaluate the right-hand side to be:

L = 10 / tan(60 + x) ≈ 5.768 / tan(x)

So, the equation we need to solve for x is:

5.768 / tan(x) = L

Substituting the value of L obtained from the previous problem, we get:

5.768 / tan(x) = 2.68

Multiplying both sides by tan(x), we get:

5.768 = 2.68 tan(x)

Dividing both sides by 2.68, we get:

tan(x) ≈ 2.153

Using a calculator, we can find the value of x that satisfies this equation by taking the inverse tangent (tan^-1) of both sides:

x ≈ 65.4 degrees

Therefore, the ladder needs to be set at an angle of approximately 65.4 degrees from the horizontal in order to reach a height of 10 feet when the ground already has an elevation of 15 degrees and the ladder is placed at a 75-degree angle with the ground.

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The complete question is:

Write and solve an equation for the following situation in order for a ladder to reach a height of 10 feet it needs to be placed at a 75 degree  to the ground . The ground already has an elevation of  15 degree. What degree does the ladder need to be set?

Rogelio has watched 23/20 hours of the movie.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

Movie duration = 1 3/4 = 7/4

Duration of movie watched = 3/5

Duration watched = 7/4 - 3/5

Duration watched = 23/20

Duration watched = 1 3/20 (mixed fraction)

Learn more about fractions here: https://brainly.com/question/78672

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