Adjust the graph and explain please

Applying the relevant tangents theorem, the answer to the circled questions are: 5. m(RU) = 190°;  7. m<T = 50°;   11. x = 9

5. Based on the secant-tangent theorem, we have:

m<S = 1/2(m(RU) - m(RT))

Given the following:

m<S = 45°

m(RT) = 100°

m(RU) = ?

Plug in the values:

45 = 1/2(m(RU) - 100)

90 = m(RU) - 100

90 + 100 = m(RU)

m(RU) = 190°

7. Using the same theorem, we have:

m<T = 1/2(160 - 60)

m<T = 50°

11. Based on the angle of tangents theorem, we have:

7x + 12 = 1/2((360 - 105) - 105)

2(7x + 12) = 150

14x + 24 = 150

14x = 150 - 24

14x = 126

x = 9

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Figure VWXY is congruent to Figure JKLM because rigid motions can be used to map Figure VWXY onto Figure JKLM.

Figure VWXY is similar to Figure JKLM because rigid motions and/or dilations can be used to map Figure VWXY onto Figure JKLM.

The scale factor is 1.

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

In this context, Figure VWXY and Figure JKLM are both congruent because they can undergo rigid motions. Additionally, Figure VWXY and Figure JKLM are both similar because they can undergo rigid motions and/or dilations;

Scale factor = LM/YX = VW/JM = WX/KL

Scale factor = 1/1 = 6/6 = 5/5

Scale factor = 1.

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The length of the arc is  5.29 miles.

The length of the arc of a circle is the distance along the circumference of the circle between two points, where one point is the start of the arc and the other point is the end of the arc. The length of the arc can be calculated using the formula:

length of arc = radius of circle x angle subtended by arc

In this case, the radius of the circle is 5.02 miles, and the central angle subtended by the arc is [tex]$\frac{\pi}{3}$[/tex] radians. Therefore, we can substitute these values into the formula to find the length of the arc:

length of arc = 5.02 miles x [tex]$\frac{\pi}{3}$[/tex]

To evaluate this expression, we can use the approximation [tex]$\pi \approx 3.14$[/tex]

length of arc = 5.02 miles x [tex]$\frac{3.14}{3}$[/tex]

Simplifying the expression, we get:

length of arc = 5.02 miles x 1.0467

length of arc = 5.26 miles

Rounding the answer to the nearest hundredth, we get the final answer of 5.29 miles.

In conclusion, the length of the arc of a circle is determined by the radius of the circle and the angle subtended by the arc. By using the formula, we can easily calculate the length of the arc given the radius and angle.

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The probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial is approximately 0.073.

We can use the binomial distribution formula to find the probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial:

P(X = 4) = (9 choose 4)  (0.7)⁴ (1 - 0.7)⁽⁹⁻⁴⁾

where (9 choose 4) represents the number of ways to choose 4 items from a set of 9, which is calculated as:

(9 choose 4) = 9! / (4! * 5!) = 126

Plugging in the values, we get:

P(X = 4) = 126  (0.7)⁴  (0.3)⁵

≈ 0.073

Therefore, the probability of 4 successes in 9 trials with a probability of success of 0.7 on each trial is approximately 0.073.

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Answer: [tex]\frac{3584}{3}[/tex] units^3

Step-by-step explanation:

Volume of a pyramid:

1/3 lwh

1/3 x 16x16x14 = 3584/3

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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The recursive formula of the given arithmetic sequence is: aₙ = 11n - 48

The formula for the nth term of an arithmetic sequence is expressed as:

aₙ = a + (n - 1)d

where:

a is first term

n is position of term

d is common difference

From the given sequence we see that:

a = -37

d = 11

Thus:

aₙ = -37 + (n - 1)11

aₙ = -37 + 11n - 11

aₙ = 11n - 48

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The solution for augmented matrix shown below.

We can write the augmented matrix for the system of linear equations as:

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 5 & 0 \\ 4 & 1 & 0 & 3 & 6 \\ 6 & -2 & -7 & 1 & 0\end{array}\right]$$[/tex]

To solve the system using row operations, we perform elementary row operations to obtain an equivalent system that is in row echelon form or reduced row echelon form.

Step 1: Subtract twice the first row from the second row to eliminate the x₁ term in the second row.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 5 & 0 \\ 0 & -1 & -2 & -7 & 6 \\ 6 & -2 & -7 & 1 & 0\end{array}\right]$$[/tex]

Step 2: Subtract three times the first row from the third row to eliminate the x₁ term in the third row.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 5 & 0 \\ 0 & -1 & -2 & -7 & 6 \\ 0 & -5 & -10 & -14 & 0\end{array}\right]$$[/tex]

Step 3: Multiply the second row by -1 to make the leading coefficient of the second row positive.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 5 & 0 \\ 0 & 1 & 2 & 7 & -6 \\ 0 & -5 & -10 & -14 & 0\end{array}\right]$$[/tex]

Step 4: Add five times the second row to the third row to eliminate the x₂ term in the third row.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 5 & 0 \\ 0 & 1 & 2 & 7 & -6 \\ 0 & 0 & 0 & 1 & -30\end{array}\right]$$[/tex]

Step 5: Subtract twice the third row from the second row and subtract the fifth row from the first row to eliminate the x₄ term in the second and first rows.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 0 & 150 \\ 0 & 1 & 2 & 0 & -54 \\ 0 & 0 & 0 & 1 & -30\end{array}\right]$$[/tex]

Step 6: Subtract the third row from the second row to eliminate the ₃  term in the second row.

[tex]$$\left[\begin{array}{cccc|c}2 & 1 & 1 & 0 & 150 \\ 0 & 1 & 2 & 0 & -54 \\ 0 & 0 & 0 & 1 & -30\end{array}\right]$$[/tex]

The matrix is now in row echelon form.

Step 7: Solve for the variables starting from the bottom row.

From the third equation, we have x₄ = -30.

Substituting this into the second equation, we get:

x₂ + 2x₃ = -54

x₃ = -1/x₂

So, x₂ + 2(-1/x₂)= -54

x₂ = 0.037

and, x₃ = 1/0.037

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The date set with the greater range is neither as the range is the same.

The median is not the same for both sets of data.

Since,

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Number of boys = 10

The number of hours from the 10 boys.

= 8, 10, 10, 10, 12, 13, 14, 15, 15, 20

Range = Highest value - Lowest value

= 20 - 8

= 12

Median = (12 + 13)/2 = 25/2 = 12.5

Number of girls = 10

The number of hours from the 10 girls.

= 3, 4, 4, 4, 6, 7, 8, 10, 10, 15

Range = Highest value - Lowest value

= 15 - 3

= 12

Median = (7 + 8)/2 = 15/2 = 7.5

Thus,

The range of both boys and girls is the same.

The median of boy's number of hours is 12.5.

The median of girl's number of hours is 7.5.

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Answer:

40/41

Step-by-step explanation:

Using cosine rule,

Cos C = 40/41

[tex] \frac{40 {}^{2} + 41 {}^{2} - 9 {}^{2} }{2 \times 40 \times 41} = \frac{3200}{3280} = \frac{40}{41} [/tex]

And if you need the angle too,

Just do,

C = cos¯¹ 40/41 = 12.68038 = 12.7

Step-by-step explanation:

First, we need to find out how many parts the company is divided into:

8 (Thompson) + 4 (Daulton) + 2 (Boyle) = 14 parts

Now, we need to find the value of one part:

Company worth = 3.78 million

Value per part = 3.78 million / 14

Value per part = 0.27 million (approximately)

Since Daulton owns 4 parts:

Value of Daulton's part = 4 * 0.27 million

Value of Daulton's part = 1.08 million

So, Thompson needs to pay about $1.08 million for Daulton's part of the company. In dollars, that's approximately $1,080,000.

The angle of elevation to the top of the tree is 33.94 degrees

In this case, the "opposite" side is the height of the tree minus the height of Gord, and the "adjacent" side is the distance from Gord to the tree.

So, we have:

tan(θ) = (height of tree - height of Gord) / distance to tree

Let's plug in the numbers:

tan(θ) = (19 m - 1.5 m) / 26 m

Solving this gives:

tan(θ) = 0.67307692308

To find the angle θ, you take the arctangent (also known as the inverse tangent) of this value.

θ = arctan(0.67307692308)

When you calculate the arctan, you'll get the angle of elevation θ in degrees.

= 33.94

The angle of elevation to the top of the tree is 33.94 degrees

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_______________________________

_______________________________

According to stated fact that they are congruent, the option A) BC ≅ MN is correct.

The triangles are congruent which means the angles and sides of the two triangles ABC and LMN will be exactly equal. The triangles generally follow the stated rules for congruency- side-side-side rule, side-angle-side, angle-side-angle, angle-angle-side and right angle hypotenuse. Therefore, we can say that

∠ A= ∠L

∠ B= ∠M

∠ C= ∠N.

Similarly, side AB = side LM

side BC = side MN

side AC = LN

Therefore, option stating side BC will be equal to side MN is true.

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The function f(x) = 3x + 2 is a straight line with a constant slope of 3, it is a linear function.

The function f(x) = 3x + 2 is a linear function.

A linear function is a function whose graph is a straight line. It has a constant rate of change or slope, which is the coefficient of x in the equation.

In this case, the slope of the line is 3.

The y-intercept of a linear function is the value of y when x is zero. In this case, the y-intercept is 2.

Therefore, since the function f(x) = 3x + 2 is a straight line with a constant slope of 3, it is a linear function.

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The total number of ways to pick a king, a heart, and then a five is 13.

We have,

There are two kings of hearts in a standard deck of cards: the king of hearts and the king of diamonds.

Case 1:

We pick the king of hearts.

In this case, there is only one card that satisfies the second condition: the five of hearts.

Therefore, there is only one way to pick a king of hearts, a heart, and then a five of hearts.

Case 2:

We pick the king of diamonds.

In this case, there are 12 cards that satisfy the second condition: the five of hearts, diamonds, clubs, and spades, and the four remaining kings (not including the king of hearts).

Therefore, there are 12 ways to pick a king of diamonds, a heart, and then a five.

Now,

The total number of ways to pick a king, a heart, and then a five.

= 1 + 12

= 13

Thus,

The total number of ways to pick a king, a heart, and then a five is 13.

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Answer: a) To calculate the theoretical forward price of the stock, we need to use the formula:

F = S0 e^(r-q)T

where F is the forward price, S0 is the current stock price, r is the risk-free interest rate, q is the continuous dividend yield, and T is the time to maturity of the forward contract.

In this case, S0 = $40, r = 5% per annum with continuous compounding, q = $1.50 per share / $40 per share = 0.0375 per month, and T = 7/12 years.

Plugging in these values, we get:

F = $40 e^(0.05 - 0.0375)(7/12) = $41.094

Therefore, the theoretical forward price of the stock is $41.094.

b) If the actual forward price is $42, there is an arbitrage opportunity for Dr JS. Dr JS can enter into a short forward contract at the current forward price of $42 and simultaneously buy the stock in the spot market for $40. Dr JS will then receive the dividend of $1.50 per share in three months, which will be paid to the owner of the stock on the record date regardless of who owns the stock at that time.

At the expiration of the forward contract in seven months, Dr JS will deliver the stock to the counterparty and receive the forward price of $42 per share. Dr JS's profit will be the difference between the forward price and the cost of the stock plus any dividends received. On a per share basis, this profit will be:

Profit per share = ($42 - $40 + $1.50) e^(-0.05)(7/12) = $3.017

Therefore, Dr JS can earn a profit of $3.017 per share by taking advantage of the arbitrage opportunity.

Answer:

Step-by-step explanation:

This is a parallelogram. It's a quadrilateral. All quadrilaterals interior (inside) angles add up to 360 degrees.

Because it's a parallelogram, we know that the opposite angles are equal.

So x is equal to that angle in the opposite corner (diagonal), and 122 is the measure of the other opposite corner angle, too.

So add up those angles:

x + x + 122 + 122 = 360

Combine like terms

2x + 244 = 360

Solve for x

2x = 116

x = 58

Double check that it's correct:

58+58+122+122 = 360.

Answer:

x=58°

Step-by-step explanation:

The sum of the interior angles of a rhombus is 360 degrees. Therefore, if angle A of a rhombus is 122 degrees, then the opposite angle (angle C) is also 122 degrees. The adjacent angles (angle B and angle D) are supplementary to angle A and angle C, meaning that they add up to 180 degrees. So, angle B and angle D are each 180 - 122 = 58 degrees. To summarize, the angles of the rhombus are:

Answer:

= 110

Step-by-step explanation:

First you add 159 + 246 and get 405

Then you add 204 + 311 and get 515

Lastly, you subtract 405 from 515

405 - 515 = 110

Answer:

1.5

Step-by-step explanation:

To determine the scale factor used to create the image, we can compare the distances between corresponding vertices of the two triangles.

Let's start by finding the distance between A and B in triangle ABC:

distance AB = sqrt[(x_B - x_A)^2 + (y_B - y_A)^2]

= sqrt[(-2 - (-6))^2 + (-4 - (-4))^2]

= sqrt[16 + 0]

= 4

Now let's find the distance between A' and B' in triangle A'B'C':

distance A'B' = sqrt[(x_B' - x_A')^2 + (y_B' - y_A')^2]

= sqrt[(-3 - (-9))^2 + (-6 - (-6))^2]

= sqrt[36 + 0]

= 6

To find the scale factor, we can divide the distance between corresponding vertices in the image triangle by the distance between the corresponding vertices in the original triangle:

scale factor = distance A'B' / distance AB

= 6 / 4

= 1.5

Therefore, the scale factor used to create the image is 1.5.

To find the scale factor of a dilation, one can divide a side length of the enlarged shape by the corresponding side length of the original shape. In this case, the scale factor from triangle ABC to A'B'C' is 6/4 = 1.5.

In Mathematics, we can find the scale factor of a dilation by comparing corresponding distances in the original shape and its image. The scale factor can be found by dividing a side length of the enlarged shape (triangle A′B′C′) by the corresponding side length of the original shape (triangle ABC).

For example, the distance between points A and B in the original triangle ABC is 4 units (-2 - (-6) = 4), and the distance between points A′ and B′ in the enlarged triangle A′B′C′ is 6 units (-3 - (-9) = 6). So, the scale factor from ABC to A'B'C' is 6/4 = 1.5.

Therefore, the scale factor used to create the image of triangle A'B'C' from triangle ABC is 1.5.

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Yue should walk on a bearing of angle 110° to reach the lake.

The angle between the line connecting Yue to the lake and the line connecting Jun to the lake is 180° - 70° = 110°, we know that θ + 110° = 180°, or θ = 70°.

Using trigonometry, we can set up the following equation:

tan(70°) = d/8

Solving for d, we get:

d = 8 tan(70°) = 22.4 km

Therefore, Yue must walk about 22.4 km to reach the lake.

To find the bearing she should walk on, we can use the fact that she is walking directly towards Jun's starting point.

Since Jun's starting point is due north of the lake, Yue must walk on a bearing of 180° - 70° = 110°

Therefore, Yue should walk on a bearing of 110° to reach the lake.

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(b) The slope and y-intercept for the regression line are Slope = -497.29 and y-intercept = 7500 i.e. Attendance = -497.29 (Inches of Snow) + 7500

(c) The attendance for 83 inches of snow is 3372 people

Given that

Inches of Snow Attendance

14 0

0 7,500

7 4,019

2 6,533

6 5,128

1 7,500

10 1,200

The slope is calculated as

Slope = Change in y/Change in x

So, we have

Slope = (7500 - 4019)/(0 - 7)

Slope = -497.29

The y-intercept is when x = 0

So, we have

y-intercept = 7500

So, the equation of the attendance is

Attendance = -497.29(Inches of Snow) + 7500

This means that

x = 8.3

So, we have

Attendance = -497.29 * 8.3 + 7500

Attendance = 3372 people

Hence, the attendance is 3372 people

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The answer is

(1) 2 slices from a medium pizza and 1 slice from a large pizza will give you a total  15.125π² inches of pizza.

(2) the measure of arc ADC is also 60° degrees.

(3) the measure of angle D is -377 + 3x° degrees

(4) the center and radius of the new similar circle are (5, 5) and 10 units.

We have,

The radius of  circle is  line segment that extends from center of  circle to any point on  circle's circumference. It is distance from  center of  circle to any point on circle's circumference. The radius is a key element in defining a circle, as it is used to determine the circle's circumference, area, diameter, and other properties.

(1). To determine how much pizza you would like to eat, you need to choose the size and number of slices. Let's say you want to eat 3 slices in total, and you decide to have 2 slices from a medium pizza and 1 slice from a large pizza. The area of one slice of a medium pizza is:

radius = diameter/2 = 12/2 =6 inches

area = π * radius² =  π* 6² = 36π² inches

area per slice = (36π) / 8 = 4.5π² inches

So, 2 slices from a medium pizza will give you 2 * 4.5π = 9π² inches of pizza.

The area of one slice of a large pizza is:

radius = diameter / 2 = 14 / 2 = 7 inches

area = π * radius² =π * 7² = 49π² inches

area per slice = (49π) / 8 = 6.125π² inches

So, 1 slice from a large pizza will give you 6.125π²  inches of pizza.

Therefore, 2 slices from a medium pizza and 1 slice from a large pizza will give you a total of 9π + 6.125π = 15.125π²  inches of pizza.

(2) . Let's choose angle ADC to be 60° degrees. Since angle ADC is an inscribed angle that intercepts arc ADC, the measure of arc ADC is also 60° degrees.

(3) . Since ABCD is an inscribed quadrilateral, the sum of opposite angles is equal to 180° degrees. Therefore, we have:

Angle A + Angle C = 180° degrees

Substituting the given values, we get:

Angle A + (x - 5) = 180° degrees

Solving for angle A, we get:

Angle A = 185 - x

Now, we can find angle B by substituting this value of angle A in the equation given in the problem:

Angle B = 3x + 2

Angle B = 3(185 - x) + 2

Angle B = 555 - 3x + 2

Angle B = 557 - 3x

Finally, we can find angle D by using the fact that the sum of the angles in a quadrilateral is 360° degrees. Therefore, we have:

Angle D =360 -Angle A -Angle B -Angle C

Substituting the values we have found, we will get:

Angle D = 360 - (185 - x) - (557 - 3x) - (x - 5)

Angle D = 360 - 185 + x - 557 + 3x - x + 5

Angle D = -377 + 3x

Therefore, the measure of angle D is -377 + 3x° degrees, where x is the value chosen for angle C. Note that angle D cannot be negative, so we need to choose a value of x such that 3x - 377 is greater than or equal to 0.

(4) . Let's choose the center of the first circle to be (3, 4) and its radius to be 5 units.

To produce a similar but not congruent circle, we can apply a translation and dilation as follows:

Translation: (2, 1)

Dilation: 2

This means that we first translate the center of the original circle by (2, 1) units to get the new center. Then we dilate the circle with a scale factor of 2 to get the new circle.

The center of the new circle can be found as follows:

New center = (3, 4) + (2, 1) = (5, 5)

The radius of the new circle can be found by multiplying the radius of the original circle by the scale factor:

New radius = 5 x 2 = 10 units.

Therefore, the center and radius of the new similar circle are (5, 5) and 10 units, respectively.

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complete question:

1. All pizzas from Dominos come in the shape of a circle. The medium pizza has a diameter of 12 inches, the large has a diameter of 14 inches, and the x-large has a diameter of 16 inches. Both the medium and large pizza are cut into 8 slices and the x-large is cut into 6 slices. Determine how much pizza you would like to eat (do not duplicate the review example). Calculate the area of the pizza you eat.

2. Use the image of circle B to answer the question. Choose a measure for angle ADC.

3. Quadrilateral ABCD has been inscribed, such that angles A and C are opposite angles, and has the given angle measurements. Angle B is 3x + 2 and angle C is x - 5. Choose an angle measure for angle A (do no duplicate the review example). Then find the measure of angle D.

4. You will be showing two circles to be similar. First, choose a center and radius of a circle (do not use the origin or the review example).

The range of the data is not possible to determine the number of books sold during these 7 days

Given data ,

Let the number of books sold during the 7 days be represented as A

where A = { 255, 250, 275, 300, 280, 290, 275 }

Now , the mean of the data set is

Mean = 290.71

And , the mode is nil and the median of the set is M = 275

where the range is the difference of the largest and lowest number of books sales

where R = 300 - 250 = 50

The range of the data is not possible to determine the number of books sold during the 7 days

Hence , the range of the data is solved

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The graph of the equation 3x2 – 6x + 4y – 9 = 0 is a downward-facing parabola with vertex at (1, 3).

We have,

The equation 3x² – 6x + 4y – 9 = 0 represents a quadratic equation in two variables x and y.

To graph this equation, we can solve for y in terms of x as follows:

3x² – 6x + 4y – 9 = 0

4y = -3x² + 6x + 9

y = (-3/4)x² + (3/2)x + (9/4)

This is a quadratic equation in standard form, where a = -3/4, b = 3/2, and c = 9/4.

Now, the vertex of the parabola can be found using the formula:

x = -b/(2a) = -(3/2)/(-3/2) = 1

and, y = f(x) = (-3/4)(1)2 + (3/2)(1) + (9/4) = 3

So the vertex of the parabola is (1, 3).

Since the coefficient a is negative, the parabola opens downwards from the vertex. Therefore, the graph of the equation 3x2 – 6x + 4y – 9 = 0 is a downward-facing parabola with vertex at (1, 3).

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Answer:

Step-by-step explanation:

You want the length and width of an 18 square foot table that is 5 feet longer than twice the width.

Let w represent the width of the table. Then the length is (5+2w) and the area is (length×width) = (5+2w)(w). The area is 18 square feet, so we have ...

  (5 +2w)(w) = 18

Putting this in standard form, we get ...

  2w² +5w -18 = 0

Factoring gives ...

  (2w +9)(2w -4)/2 = 0

  (2w +9)(w -2) = 0

  w = -9/2 or 2 . . . . . . . . values that make the factors zero

The width cannot be negative, so must be 2 feet.

The length is ...

  5 +2(2) = 9 . . . . feet

The table is 9 feet long and 2 feet wide.

The surface area of the cylinder is 62.8 square feet (rounded to one decimal place) with the unit of square feet.

The formula for the surface area of a cylinder is:

[tex]Surface Area = 2\pi r^2 + 2\pi rh[/tex]

where π is the mathematical constant pi (approximately equal to 3.14), r is the radius of the base, and h is the height of the cylinder.

In this case, we are given that the base diameter is 4 ft, which means the radius is half of that or 2 ft. Also, the height of the cylinder is given as 3 ft. Substituting these values into the formula, we get:

Surface Area = 2π(2)² + 2π(2)(3)

Surface Area = 2π(4) + 2π(6)

Surface Area = 8π + 12π

Surface Area = 20π

Therefore, the surface area of the cylinder is 20π square feet. Since the value of π was given as 3.14, we can leave the answer in terms of π and write it as:

Surface Area = 20π sq. ft.

Surface Area = 20(3.14) sq. ft.

Surface Area = 62.8 sq. ft. (rounded to one decimal place)

So, the surface area of the cylinder is 62.8 square feet (rounded to one decimal place) with the unit of square feet.

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The difference between the market value of the car and its maintenance and repair costs for the eighth year is  $-775

We have,

The percentage of the market value of the car is 5%.

The maintenance and repair costs, as a percentage of the car's value, are 10%.

To find the difference between the market value of the car and its maintenance and repair costs for the eighth year, we subtract the percentage of the market value from the maintenance and repair costs percentage:

Difference = Percentage of market value of car - Maintenance and Repair costs as a percentage of Car's value

= 5% - 10%

= -5%

Given that the original cost of the car is $15,500,

So, -5% of $15,500

= -$775.

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The function has a y-intercept that is greater than the intercept of the function is (d) y - 2 = 5x - 6

From the question, we have the following parameters that can be used in our computation:

The verbal description:

This means that

Slope = 3

y-intercept = -5

A linear equation is represented as

y = mx + c

Where

m = Slope = 3

c = y-intercept = -5

So, we have

y = 3x - 5

From the list of options, we have

a: y-intercept = -5

b: y-intercept = -9

c: y-intercept = -7

d: y-intercept = -4

-4 is greater than -5

Hence, the function has a y-intercept that is greater than the intercept of the function is (d) y - 2 = 5x - 6

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The length of AC = 3.55.

In the given triangle,

AB = 20 m = c

BC = 31 m = b

AC = a = ?

∠A = 95 degree

We know the cosine rule,

CosA = (b² + c² - a²)/2bc

Therefore,

⇒  Cos95 = (31² + 20² - a²)/(2x31x20)

⇒  -0.087 = (1361 - a²)/1240

⇒ -107.88 = (1361 - a²)

⇒          a² = 12.62

⇒          a  = 3.55

Hence,

AC = 3.55.

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