Classify the triangle by its sides and angles.
Question 16 options:

A)

Acute scalene triangle

B)

Right scalene triangle

C)

Obtuse isosceles triangle

D)

Obtuse scalene triangle

Answer: slope: undefined

y intercept: no y intercept

Step-by-step explanation:

Answer:

1: Positive

2: Negative

3: Negative

4: Negative

Step-by-step explanation:

Positive plus Negative equals negative.

Positive plus positive or negative plus negative equals positive.

Hope this helps.

Step-by-step explanation:

-8+(-9) = -17  <--- Negative    If they are both negative, then you do the simple math part and then add the negative sign

7+(-3) = 4  <---- Positive    If there are only one negative, then you get rid of the '+' and then the equation turns into 7-3. You would do the simple math.

5+(-12) = -7 <----- Negative.    Here, there is only one negative sign but the negative number is greater than the positive number. So, you would do the math 5-12 and use the negative sign.

-12+5 = -7 <----- Negative   Look at the one above this.

then the sum of the areas of the two smaller squares will be equal to the area of the largest square.

if three squares have sides that make an acute triangle, then the sum of the areas of the two small squares is equal to the area of the largest square. This is known as the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse). However, in an acute triangle, there is no side that is longer than the other two sides, and so the three squares cannot form a right triangle. Therefore, the sum of the areas of the two smaller squares cannot be determined from the information given.

If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares is less than the area of the largest square. In an obtuse triangle, one of the angles is greater than 90 degrees, which means that the square with its side opposite the obtuse angle will have a larger area than the other two squares. Therefore, the sum of the areas of the two smaller squares will be less than the area of the largest square.

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square. This is the Pythagorean Theorem, as mentioned in the first answer. In a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Therefore, if the squares are constructed with their sides equal to the lengths of the sides of the right triangle, then the sum of the areas of the two smaller squares will be equal to the area of the largest square.

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One possible test we can use is the integral test. However, in this case, the integral test does not give us a simple solution.

To determine whether the series ∑(n/(n + 5)), n = 1 to infinity, converges or not, we can use the limit comparison test.

Let's compare the given series to the harmonic series ∑(1/n), which is a well-known divergent series.

Taking the limit as n approaches infinity of the ratio of the terms of the two series, we have:

lim(n→∞) (n/(n + 5)) / (1/n)

= lim(n→∞) (n^2)/(n(n + 5))

= lim(n→∞) n/(n + 5)

= 1

Since the limit is a nonzero finite value (1), the series ∑(n/(n + 5)) cannot be determined to be either convergent or divergent using the limit comparison test.

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1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

the answer is D

Answer:

Option C

Step-by-step explanation:

There are 17 elements in the sample space, here.

The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a large company, 45% of the employees wear khaki pants on a daily basis.

40% of employees wearing khaki pants in a random sample of 50 employees

So, 40% of 45% x 50

= \(0.40 \times 0.45 \times 50 \\ \\9\)

The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.

= 9 /50

= 0.18

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Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

471 cm

Step-by-step explanation:

here diameter of the circle is 150cm, and we know radius is half of diameter.

therefore r = 150/2

= 75

Now,

according to formula,

Circumference of circle = 2πr

= 2 x 3.14 x 75

= 471 cm

Answer:

18

Step-by-step explanation:

Let number of girls be 'x'.

So, Number of boys = Number of girls - 4

= x - 4

Total number of students in a class = 40

Number of girls + Number of boys = Total number of students in a class

\( \longrightarrow \) x + x - 4 = 40

\( \longrightarrow \) 2x - 4 = 40

\( \longrightarrow \) 2x - 4 + 4 = 40 + 4

\( \longrightarrow \) 2x = 44

\( \longrightarrow \) \( \sf \dfrac{2x}{2} = \dfrac{44}{2} \)

\( \longrightarrow \) x = 22

\( \therefore \) Number of boys = 22 - 4

= 18

Answer:

Step-by-step explanation:

The Total Cost formula for the Dealership is

$24 + ($99/hr)h, where h represents the number of hours of labor performed.

That for the Local Mechanic is

$45 + ($89/hr)h

We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:

24 + 99h = 45 + 89h

Combining like terms, we get:

21 = 188h

Solve for h by dividing both sides by 188:

h = 188/21 = 8.95

The two bills would be equal 8.95 hours after commencement of the work.

Part b:

Dealership:  $24 + ($99/hr)h.  Evaluate this at 8.95 hrs:  $910.05.

The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.

The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.

$24 + ($99/hr)(8.95 hr) =

Answer:

no it does not show a fucntion

Answer:

y = 0.714 x -5

Step-by-step explanation:

at x =0, y = -5, means the constant is -5

at x= -7 y= -8,

-8= -7a -5

a=0.714

y = 0.714 x -5

Answer:

I've Helped! :)

Answer:

thank you so much

Step-by-step explanation:

Without the specific values, we cannot ascertain the true statement. The five-number summary typically includes the minimum, first quartile (Q1), median (second quartile or Q2), third quartile (Q3), and maximum values of a dataset.

Without the specific values provided for the credit hours, it is not possible to determine the true statement. However, I can explain the general interpretation of the five-number summary.

In the first paragraph, we are unable to determine which statement is true without the actual values for the five-number summary of credit hours for the statistics class.

The five-number summary provides a concise summary of the distribution of data. The minimum represents the smallest value, Q1 represents the lower quartile or the value below which 25% of the data falls, the median represents the middle value or the value below which 50% of the data falls, Q3 represents the upper quartile or the value below which 75% of the data falls, and the maximum represents the largest value. By analyzing these summary statistics, we can gain insights into the spread, central tendency, and skewness of the dataset.

To determine which statement is true, we would need the actual values for the five-number summary. For example, if the minimum value is 2, Q1 is 4, the median is 6, Q3 is 8, and the maximum value is 10, we can make statements about the distribution of credit hours based on these values. However, without the specific values, we cannot ascertain the true statement.

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Hunter has 32 different possible outcomes if he rolls a pyramid-shaped die with four sides, spins a spinner with four equal-sized sections, and flips a coin.

There are different methods to approach this problem, but one possible way is to use the multiplication principle of counting, which states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks in sequence.

In this case, Hunter has three tasks: rolling the die, spinning the spinner, and flipping the coin.

For the first task, rolling the die, there are four possible outcomes.

For the second task, spinning the spinner, there are four possible outcomes as well.

For the third task, flipping the coin, there are two possible outcomes.

Using the multiplication principle, the total number of possible outcomes is:

4 x 4 x 2 = 32

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Answer:

160

Step-by-step explanation:

Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

The equation of the line that passes through the points (3,2) and (5,6) is: y = 2x - 4

Given:

we have two points:

(3,2) and (5,6)

we are asked to find the equation of a line that passes through the points (3,2) and (5,6).

let the two points be:

(3,2) = (x₁,y₁)

(5,6) = (x₂,y₂)

we know the point slope form as:

y - y₁ = m(x-x₁)

to find slope:

m = y₂-y₁/x₂-x₁

m = 6-2/5-3

m = 4/2

m = 2

now take the point as :

y - 2 = 2(x-3)

y - 2 = 2x-6

y = 2x - 6 + 2

y = 2x - 4

Hence we get the equation of the line as y = 2x - 4.

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Answer:

It's 38.

Step-by-step explanation:

the sum of three consecutive even integers is 108, the largest number in the sequence would be 38.

I hope this helps you!

Answer:

We can use algebra to solve this problem. Let's call the smallest of the three consecutive even integers x. Since the integers are consecutive and even, the next two integers will be x+2 and x+4.

The problem states that the sum of three consecutive even integers is 108, so we can write an equation:

x + (x+2) + (x+4) = 108

We can simplify this equation by combining like terms:

3x + 6 = 108

3x = 102

x = 34

So, the smallest of the three consecutive even integers is 34.

The next two integers will be x+2 = 34+2 = 36 and x+4 = 34+4 = 38

The largest number of the three consecutive even integers is x+4 = 38.

The equation "6x + y = 29" is not a result of solving the given system of equations by addition.

To solve a system of equations by addition, we aim to eliminate one variable by adding the equations together. Let's analyze the given system of equations:

Equation 1: 5x + 2y = 5

Equation 2: 3x - y = 14

To eliminate the y variable, we can multiply Equation 2 by 2 and add it to Equation 1:

2(3x - y) = 2(14)

6x - 2y = 28

Adding this modified Equation 2 to Equation 1, we get:

(5x + 2y) + (6x - 2y) = 5 + 28

11x = 33

x = 3

Substituting the value of x into either of the original equations, we find that y = -1. Therefore, the solution to the system of equations is x = 3 and y = -1.

Now, let's verify the options to see which equation is not a result of solving the system by addition:

A) 11x = 33 - This equation is derived from adding the two equations together.

B) 6x + y = 29 - This equation is derived from substituting the values of x and y into one of the original equations.

C) 2y = 2 - This equation is derived from isolating the variable y in Equation 1.

D) x = 3 - This equation is derived from solving for x.

Thus, the equation "6x + y = 29" is not a result of solving the system of equations by addition.

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer:

Amount of car in 2012 = $1,242.55 (Approx)

Step-by-step explanation:

Given:

Rate of depreciation(d) = 18% = 0.18

Amount of car in 1998 = $19,995

Find:

Amount of car in 2012

Computation:

Number of year(n) = 14 year

\(Amount\ of\ car\ in\ 2012 = Amount\ of\ car\ in\ 2012 [1-d]^n\)

Amount of car in 2012 = 19,995[1-0.18]¹⁴

Amount of car in 2012 = 19,995[0.82]¹⁴

Amount of car in 2012 = 19,995[0.0621432458]

Amount of car in 2012 = 1,242.5542

Amount of car in 2012 = $1,242.55 (Approx)

Answer: 64

Step-by-step explanation: 1,728 divided by 27 = 64

The reward of 600 points will be earned by spending the amount of $300.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that, Omar earns 800 reward points for spending 300 dollars.

The amount of money spent to earn 600 reward points will be calculated as,

800 reward points = $300 spending

1 reward point = $300 / 800 spending

600 reward point = ($300 x 600) / 800

600 reward points = $225

Therefore, the reward of 600 points will be earned by spending the amount of $300.

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Answer:

8.145

Step-by-step explanation:

Answer:

8128

Step-by-step explanation:

this is because this is the one that when you subject from 8074, it is the lowest number