a student in a high school may play many sports. each sport has one varsity team that has a coach, and a school location where they play home games. obviously a team can contain many players. a team must contain at least one student and a student need not play any sports. the number of wins and losses are also recorded against each team.

Answer:

x = 65

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

80+30+70=180, so 70+x = 90 so x =20

Answer:

  (c)  two right triangles, each with both legs 40 inches long

Step-by-step explanation:

You want to know which pair of triangles are congruent, given their descriptions.

There are basically 4 theorems that allow you to claim congruence of triangles:

  AAS, ASA, SAS, SSS

A fifth one applies to right triangles only: HL.

These tell you that you need to have three matching parts: 3 sides, 2 sides and the angle between (except right triangle), or 1 side and 2 angles.

An isosceles triangle with only one or two sides defined is not sufficient.

A right triangle with only the hypotenuse defined is not sufficient.

A right triangle with two legs and the (right) angle between them has a sufficient number of matching parts to be able to claim congruence to another triangle similarly defined.

5.

since ΔABC = ΔXYZ

x = ∠ACB = 30°

y = 180° - 60° - 30° = 90°

6.

a. ΔABC ≅ ΔADC

b. ΔQRS ≅ ΔTPQ

Answer:

84 tiles

Step-by-step explanation:

Given that :

Figure 2 = 8 tiles

Figure 5 = 14 tiles

Growth rate :

(Figure 5 - figure 2)x= 14 - 8

3x = 6

x = 6/3

x = 2

(Figure 40 - figure 2) = 38 * x

Initial number of tiles + 38x

8 + 38(2)

8 + 76

= 84

Figure 40 = 84 tiles

The measure of angle B is 107° and the value of x=11°.

Triangles are geometric figures with three (3) sides. They can present different classifications regarding their sides or angles.

The sum of the interior angles of a triangle will always be 180°, independent of its classification.

The question gives a triangle with the following angles:

A=3x+28

B= 5x+52

C=2x-10

If A+B+C= 180° for finding x, you have:

3x+28+5x+52+2x-10=180

10x+70=180

10x=180-70

10x=110

x=11°

If x=11° and B=5x+52, you have:

B=5*11+52=55+52=107°

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Answer:

a. 15 inches

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

a² = 9in

b² = 12in

9² + 12² = c²

9² = 81

12² = 144

81 + 144 = 225

c² = 225

simplify = √225

√225 = 15

Answer:

0.88

Step-by-step explanation:

Given:

A spinner is divided into 4 sections using the  colours: red, orange, yellow, and green. After  50 trials, the spinner landed on red 10 times,  on orange 16 times, on yellow 6 times, and  on green 18 times.

To find: probability of the spinner not landing  on yellow

Solution:

Probability is the chance of occurrence of some event.

Total number of outcomes = 50

Number of favourable outcomes = 50 - 6 = 44

Probability of the spinner not landing  on yellow = Number of favourable outcomes / Total number of outcomes = \(\frac{44}{50}=\frac{22}{25}=0.88\)

Answer:

The answer is 0.88 Hope this helps any T4L students!

Answer:

11

Step-by-step explanation:

I did the square root method.

hope this helps!

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

275

Step-by-step explanation:

If they pay $2,200 to screen a movie and charge $8 a head then it's just division. 2200/8 is equal to 275.

the tickets should be 275 tickets..

Answer:

10x^2 -623x +2

Step-by-step explanation:

the numbers were put in weird so im not sure if this is the answer you were looking for, but thats what i got

Answer:

10 books

Step-by-step explanation:

5 × 2 = 10

unknown in this problem is number of books in all

let's move like the crab, backwards, so let's do B) first.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below, keeping in mind that those points are as close as possible to the best-fit line, so they can pretty much define it

\((\stackrel{x_1}{6}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{17}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{17}-\stackrel{y1}{13}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{6}}} \implies \cfrac{ 4 }{ 2 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{ 2}(x-\stackrel{x_1}{6}) \\\\\\ y-13=2x-12\implies {\Large \begin{array}{llll} y=2x+1 \end{array}}\)

after 13 months of practice, so x = 13, thus

\(y = 2(\stackrel{x }{13}) + 1 \implies y=27\qquad \textit{possible games won by then}\)

now, onto A) well hmm the best-fit line equation is already in slope-intercept form, so the y-intercept is simply (0 , 1), the heck does that mean?

means that with "0" practice, the students can only beat one team or win only "1" time.

Answer:

Part A: The y-intercept of the line of best fit is 0.  This means that for zero months of practice, the team should expect not to win a game.

Part B: y = 2.11429x

Step-by-step explanation:

y = 2.11429(13)

y ≈ 27 games

You give some points that say it makes a straight line, but it doesn't.

Helping in the name of Jesus.

Answer:

i mean that's not enough info

Answer

when 2 triangle scales are similar the ration reduces and become a scale factor

Answer:

The scale factor is 2

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

f(1)=x-4

x=1

=1-4

=-3

(a) The distance traveled by motorcycle is 1548 ft.

(b) The distance traveled by motorcycle is 1512 ft.

(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

What is velocity?

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

Given table is:

t (s)        0       12      24     36     48      60

v (ft/s)   30      28     25     21      25      27

The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:

12(30 + 28 + 25 + 21 + 25)

=12 × 129

= 1548 ft

The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:

12(28 + 25 + 21 + 25 + 27)

=12 × 126

= 1512 ft

The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.

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Answer:

where is the figure?? thanks

The nature of the roots of a quadratic equation is known by a value known as the discriminant,  which is calculated by seeing the equation and comparing it with the standard equation which is given by -

ax^2 + bx +c , where a , b , c are constants .

The root of the equation is given by -

x= [(-b )± (b^2 - 4ac)] / 2a

Here, the term (b^2 - 4ac) is called the discriminant of the quadratic equation .

This discriminant is the defining factor of the nature of the roots.

Now, here arise three cases-

(i) If (b^2 - 4ac) > 0, the roots are real and distinct .

(ii) If (b^2 - 4ac) = 0 , the roots are real and equal.

(iii) If (b^2 - 4ac) < 0 , the roots are not real and they are imaginary i.e. they are complex in nature and of the form a+ib.

For example , we have an equation x^2 + 2x + 1.

Here, a =1, b=2 and c=1.

Putting these values in the discriminant , we get -

b^2 - 4ac = 4-4(1)(1) = 0.

So, the roots of the equation are real and equal i.e. x=2,2.

Hence, it is the discriminant which determines the nature of roots.

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To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Anthony's "hiring process" or "recruitment period" was 30 days.

The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.

The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.

In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.

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Answer:

A) SSS

Step-by-step explanation:

The triangles are congruent by SSS rule

WC = FY

MC = FP

WM = YP

Answer:

429.34

Step-by-step explanation:

I know trust me

68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.

To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.

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Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

The standard deviation of ages in the room increases, while the median of ages stays approximately the same.

Standard deviation is a measure of the variability of a set of data points. The addition of a 30-year-old mother and an infant to the group of ten five- and six-year-olds increases the spread of the ages, thus increasing the standard deviation.

The median, on the other hand, is the middle value in a set of data points. Since the median only depends on the order of the values, not their magnitude, adding a mother and an infant to the group of children does not significantly affect the median age in the room, which would still be close to 5 or 6 years old.

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