8. (09.05 MC) Find the value of k that creates a vertical tangent for r = kcos20 + 2 at 26 +2 at . (10 points)
A. -2
B. -1
C. 2
D. 1

Two triangles that have equal base lengths and equal heights, have equal areas

The ratio of the areas of ΔAEB and ΔDEC is one

The reason the ratio is one is that the area of ΔAEB is equal to the area of ΔDEC

The reasons for giving the above values are are follows;

The given parameters are;

Triangle ABC and DBC overlap

The base length of triangle ABC = The base length of triangle DBC

The height of triangle ABC = The height of triangle DBC = 8

Required:

To find the ratio of the areas of the triangle AEB and DEC

Solution:

The area of a triangle = (1/2) × Base length × Height

Given that the base, and height of triangles ΔABC and ΔDBC are equal, we have;

Area of triangle ΔABC = Area of triangle ΔDBC

The area of ΔABC = Area of ΔAEB + Area of ΔECB

Area of triangle ΔDBC =  Area of ΔDEC + Area of ΔECB

Therefore;

Area of ΔAEB + Area of ΔECB = Area of ΔDEC + Area of ΔECB by substitution property of equality

Subtracting area of ΔECB from both sides gives;

Area of ΔAEB = Area of ΔDEC by subtraction property of equality

Therefore;

\(\dfrac{\Delta AEB}{\Delta DEC} = 1\)

ΔAEB:ΔDEC = 1:1

The ratios of the areas of the triangle AEB and DEC is 1

The reason why the ratio of the area of the two triangles is 1 is that ΔAED and ΔDEC are each obtained from ΔABC and ΔDBC which are equal to each other by subtracting ΔBEC from each, and therefore, by subtraction property of equality, the two triangles are equal

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According to the given figure, minor arc RS, diameter RT, chord PS, central angle QTR, major arc QRS, semicircle QRP, and radius RT

What is a major and minor arc?

An arc is a portion of the circumference of a circle. It is a curve that connects two points on the circumference.  A major arc is an arc that measures more than 180 degrees, which is greater than a semi-circle. It covers more than half of the circumference of the circle. A minor arc is an arc that measures less than 180 degrees, which is less than a semi-circle. It covers less than half of the circumference of the circle.

If the angle formed by the two points and the center is less than 180 degrees, then it is a minor arc. Conversely, if the angle formed is greater than 180 degrees, then it is a major arc.

In summary, a major arc covers more than half of the circumference of the circle and measures more than 180 degrees. A minor arc covers less than half of the circumference of the circle and measures less than 180 degrees.

1. Minor arc RS

2. Diameter RT

3. Chord PS

4. Central angle QTR

5. Major arc QRS

6. Semicircle QRP

7. Radius RT

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The terms ka, kd, P, and n in the Langmuir isotherm equation represent the adsorption rate constant, desorption rate constant, pressure, and a constant related to the adsorption process, respectively.

The Langmuir isotherm is a mathematical model that describes the adsorption behavior of a monolayer of particles on a solid surface in ultra-high vacuum (UHV) conditions. The coverage θ, which represents the fraction of the surface covered by adsorbate particles, is given by the equation θ(P) = 1 + (kd/ka)P\(^(^1^/^n^)\), where ka is the adsorption rate constant, kd is the desorption rate constant, P is the pressure of the gas in the system, and n is a constant related to the adsorption process.

The term ka represents the rate at which particles adsorb onto the surface. It is a measure of how fast the adsorption process occurs. A higher value of ka indicates a faster adsorption rate, meaning that the particles are more likely to stick to the surface.

On the other hand, kd represents the rate at which particles desorb or detach from the surface. It is a measure of how easily the adsorbed particles can be removed from the surface. A higher value of kd indicates a higher desorption rate, suggesting that the adsorbed particles are more likely to detach from the surface.

P refers to the pressure of the gas in the system. The Langmuir isotherm assumes that the adsorption process is directly proportional to the pressure of the gas. As the pressure increases, more gas molecules are available for adsorption, resulting in an increase in the coverage θ.

The parameter n is a constant that characterizes the adsorption process. It reflects the heterogeneity or uniformity of the surface and the interaction between the adsorbate particles and the surface. A value of n equal to 1 indicates a monolayer adsorption process with uniform affinity for all adsorbate particles, while values different from 1 suggest deviations from ideal behavior.

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Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

Answer:

14

Step-by-step explanation:

So, if x is length, then x*x*8 is 1568. To solve, you do 1568/8, which gives you 196. The square root of 196 is 14, and 14*14*8 is 1568.  

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Answer:

fddddisjsjjsjenejucudjjeennfjciicf

Answer:

for 2h the volume is 96π

for 5h the volume is 240π

for h/2 the volume is 24π

for h/5 the volume is 9.6π

Step-by-step explanation:

I hope this helps! if not i don't know what to say..

The distance between the base to the summit of the mountain is 300 meters.

Here Given that,

Person climbs a mountain road from the bas to the summit at a speed of 45 m/min.

And

descends the same road from top to bottom at a speed of 60 m/min

Now,

The time difference between the climbing and descending is 20 min.

So, we can say that

Velocity v₁=45 m/min

Velocity v₂=60 m/min

Time difference ∆t=20 min

We have to find the distance between the base to the summit.

As we know,

The formula for average velocity is

∆v=∆x/∆t

v₂-v₁=∆x/∆t

60-45=∆x/20

∆x=15×20

∆x=300 meter

Hence,

it is 300 meters from the base to the summit of the mountain.

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Answer:

The orthocenter is the intersection point of the altitudes of a triangle.

Step-by-step explanation:

There are three altitudes in any triangle, one for each side.

Step-by-step explanation:

60° + 80° + y = 180° ( being straight angle )

140° + y = 180°

y = 180° - 140°

y = 40°

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

Answer:

25

Step-by-step explanation:

take the square root of 24^2+7^2

The length of the hypotenuse in the right triangle is 25 units.

Hence the correct option is B.

Given is a right triangle with base length b = 24 and the perpendicular a = 7.

We need to find the length of the hypotenuse c.

To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

The Pythagorean theorem can be expressed as:

c² = a² + b²

Substituting the given values:

c² = 7² + 24²

c² = 49 + 576

c² = 625

To find the length of c, we need to take the square root of both sides:

c = √625

c = 25

Therefore, the length of the hypotenuse (c) is 25.

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Answer:

37 students in each bus so 111 students went on the bus

Step-by-step explanation:

6 students went on the bus so 117 - 6 = 111 there are 3 buses so 111 / 3 = 37 so 37 students per bus

Answer:

None

Step-by-step explanation:

The reason is because none of them add up to at least 91°

62° would be your best bet but, even when you do the math 62*2= 124

124/6= 20 2/3°

62+20.66...= 82.666...

82.6666...<91°

Answer: A

Step-by-step explanation: to solve the equation, if a car depreciates by 48%, it is worth 52% of its original value; then, you can multiply 43,900 by 52% to get 22,828, or answer A

The value of car after 3 years and depreciating by 48% is $22,828.00 .

Given,

Cost price of car = $43,900.00.

Now,

Actual price of car = $43,900.00

Value of car depreciates by 48%,

So, decrease the value of car by 48%.

Current price of car after reduction of 48%,

Current price = $43,900.00 - $43,900.00 * 48%

Simplifying the expression,

Current price = $43,900.00 - $43,900.00 * 48/100

Current price = $43,900.00 -$21,072

Current price = $22,828

Therefore the car is of $22,828 after 3 years.

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Answer:

y ≥ 1   or   y ≤ -2.4

Explanation:

| 10y + 7 | ≥ 17

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

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

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

Answer:

0.6°

Step-by-step explanation:

The sum of exterior angles in a polygon is always equal to 360 degrees. For all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

360/600=0.6

The unknοwn value that makes the statement "100% οf --- is 40" true is 40.

A percentage is a number οr ratiο expressed as a fractiοn οf 100. It is οften denοted using the percent sign, "%", althοugh the abbreviatiοns "pct.", "pct" and sοmetimes "pc" is alsο used. A percentage is a dimensiοnless number; it has nο unit οf measurement.

In the statement "100% οf --- is 40", the percentage 100% represents the entire quantity οf the unknοwn value that is represented by the symbοl □.

Sο, we can say that the entire unknοwn quantity is equal tο 40.

Therefοre, the unknοwn value that makes this statement true is 40.

Hence, The unknοwn value that makes the statement "100% οf --- is 40" true is 40.

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Since you know a line is = 180*

if angle EFG is 125, we can get angle EFD = to 180-125=55

And since we know that the line ED is congruent to line EF, angle EDF is = 55

180-55*2= 70

angle DEF=70

A function assigns the values. The profit-maximizing quantity of labour to hire is 15 workers.

A function assigns the value of each element of one set to the other specific element of another set.

Given the marginal revenue product, MRP = 40-(Q/10)

The cost of labour, WL = 10

The production function, Q = 20 L

For profit maximizing quantity of labour to hire where,

MRP = WL

40-(Q/10) = 10

40-(20L/10)=10

40-2L=10

-2L = 10-40

-2L=-30

L=15

Hence, the profit-maximizing quantity of labour to hire is 15 workers.

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Answer: The difference is 8.92

Step-by-step explanation:

21.12 - 12.2 = 8.92

Answer:8.92.

Step-by-step explanation: you just subtract the two numbers

Answer:

12

Step-by-step explanation:

quisis

During class this was a 2 question review of many we did while we were seeing colleges we might want to go to.

The matrix structure is an organizational design that combines functional and divisional reporting lines within the same company. The three conditions which usually exist when the matrix structure is found are multiple projects, interdependency, and a skilled workforce.

This structure facilitates better coordination and communication, allowing organizations to more effectively manage complex and diverse projects.
There are three conditions that usually exist when the matrix structure is found:
1. Multiple Projects: Matrix structures are often used in organizations that manage multiple projects or products simultaneously. These organizations need to allocate resources and personnel efficiently, and the matrix structure enables them to do so by allowing employees to work on various projects while still maintaining their functional roles.
2. Interdependency: In a matrix structure, there is a high level of interdependency among different departments and project teams. This interdependency promotes collaboration and communication, enabling the organization to respond more quickly to changing market conditions and customer needs.
3. Skilled Workforce: Organizations employing a matrix structure usually require a skilled and diverse workforce. These employees must be able to adapt to new challenges, work in cross-functional teams, and possess strong problem-solving skills. The matrix structure allows organizations to leverage the expertise of their workforce by assigning employees to projects based on their unique skill sets.
In conclusion, the matrix structure is an organizational design that combines functional and divisional reporting lines, enabling organizations to manage complex projects more effectively. This structure is typically found in organizations with multiple projects, a high level of interdependency, and a skilled workforce.

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In order to do well on BYU Calculus BC Explorations, you should have a solid understanding of the basic principles of calculus.

This includes understanding derivatives and integrals, as well as the fundamental theorem of calculus. Additionally, it is important to have a strong background in basic algebra and trigonometry, as these skills will be necessary for working with functions and equations. When solving problems, it is important to read the problem carefully and identify what type of calculus concept is being asked for. Once the concept is identified, you can use formulas and calculations to solve the problem. By working through problems in a systematic and logical way, you can make sure that you arrive at the correct answer.

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Complete question:What is the best way to do well on BYU Calculus BC Explorations?