Suppose you have a triangle, and you want to construct a similar triangle. Which two
transformations will result in a triangle that is similar, but is not congruent?
Rotation and Reflection
Reflection and Translation
Reflection and Dilation
Translation and Rotation

Answers

Answer 1
Answer: C) reflection and dilation

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.


Related Questions

Lee watches tv 3hours per day. Lee tv consumes 200 watts when on. Electricity cost 12 cents 1 kilowatt-hour how much does Lee's tv cost to operate for 30 days

Answers

Answer: $2.16

Lee watches TV 3 hours per day and TV consumes 200 watts.

Cost of electricity = 12 cents/(1-kilowatt-hour)

200w×3 hours

600 watt-hours

1000 watt-hours=1kwh

1 watt-hours= 1/1000 kwh

600 watt-hours 600/1000=0.6 kwh

0.6×12=7.2cents

1 day=7.2 cents

30 days

7.2×30

216 cents

$2.16

Answer:

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Step-by-step explanation:

This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:

Cost = Energy consumed x Time x Unit cost

[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]

[tex]C = 2.16\,USD[/tex]

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$

Answers

Answer:

√58 or 7.62

Step-by-step explanation:

x-intercept = (7, 0)

y-intercept = (0, -3)

distance = √(-3 - 0)² + (0 - 7)² = √58 or 7.62

Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answers

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3

Answers

Answer:

[tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{2} cos^{-1} (\pi x)-3[/tex]

Firstly, we've to interchange the variables.

[tex]x = \frac{1}{2} cos^{-1}(\pi y)-3[/tex]

Solving for y

[tex]x = \frac{cos^{-1} \pi y}{2} -3[/tex]

Adding 3 to both sides

[tex]x+3 = \frac{cos^{-1}(\pi y)}{2}[/tex]

Multiplying 2 to both sides

[tex]2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)[/tex]

Taking cosine on both sides

[tex]\pi y = cos (2x+6)[/tex]

Dividing both sides by y

[tex]y = \frac{cos(2x+6)}{\pi }[/tex]

Replace y by [tex]f^{-1}(x)[/tex]

=> [tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]

Answer:

[tex]\large \boxed{f^{-1}(x)=\frac{cos(2x+6)}{\pi} }[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{cos^{-1} (\pi x)}{2} -3[/tex]

Swicth variables.

[tex]\displaystyle x=\frac{cos^{-1} (\pi y)}{2} -3[/tex]

Solve for y.

Add 3 to both sides.

[tex]\displaystyle x+3=\frac{cos^{-1} (\pi y)}{2}[/tex]

Multiply both sides by 2.

[tex]\displaystyle 2(x+3)=cos^{-1} (\pi y)[/tex]

[tex]\displaystyle 2x+6=cos^{-1} (\pi y)[/tex]

Take the cos of both sides.

[tex]\displaystyle cos(2x+6)=\pi y[/tex]

Divide both sides by [tex]\pi[/tex].

[tex]\displaystyle \frac{cos(2x+6)}{\pi} =y[/tex]

Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1

Answers

Answer:

D

Step-by-step explanation:

cas if x =1

then 1^2>or=1

1is not >or=1

the answer is D. -1/4 because it would make 1=1 instead of greater than or equal to 1

What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6

Answers

Answer:2

26x + y = 23 → y = 23 – 6x.

7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2

HELP!!!! PLEASE! 10 POINTS Which function is graphed?

Answers

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

[tex]x[/tex]Answer:

The answer would be [tex]f(x)=2x-6[/tex]

Step-by-step explanation:

    The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].

    Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].  

    We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)

From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C. none of these D. 24

Answers

Answer: B. 6

================================================

Explanation:

In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.

We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time

Let's try x = 6

4 + x < 20

4 + 6 < 20 ... replace x with 6

10 < 20 ... this is a true statement as 10 is less than 20

So x = 6 is a solution

Let's try x = 16

4+x < 20

4+16 < 20

20 < 20 ... this is false because we can't have a number smaller than itself

Lastly, let's try x = 24

4+x < 20

4+24 < 20

28 < 20 ... also false; 28 is not smaller than 20

We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.

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

Alternative method:

4+x is the same as x+4. We can add two numbers in any order we want.

x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.

x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.

When simplified, 4x/7y + 3x/5y is written as?​

Answers

Answer:

41x/35y

Step-by-step explanation:

combine like terms

15 POINTS!!!!!!!
How is a linear function affected by a horizontal shift?

Answers

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC

Answers

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°


Find the value of x that makes s and t parallel.
3.
3(x-8)"
2(x + 10)"
I

Answers

Answer:

x=44

Step-by-step explanation:

If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:

3(x-8)=2(x+10)

3x-24=2x+20

x=44

Hope this is helpful! :)

Answer:

x=36.8

Step-by-step explanation:

We know that the two angles given are supplementary so we can do:

3(x-8)+2(x+10)=180

Then we simplify.

3x-24+2x+20=180

Simplify

5x-4=180

Combine like terms

5x-4=180

    +4  +4

5x=184

Divide to make it x alone.

5x=184

/5      /5

x    =    36.8

I hope this helped

HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.

Answers

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).

Answers

Answer:

see explanation

Step-by-step explanation:

GC = 11B + 1D

WS = 9B + 2D

Linear equations will point downward

Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.

Western Sizzling would be cheaper because with the total meal it would cost $11 while Golden Corral would cost $12 for the total meal.

Referring to triangle ABC, find the area of the triangle.
a = 4.34 ft, b = 3.78 ft, c = 5.27 ft
Round your answer to three significant digits.

Answers

Answer: area of triangle = 13.4 ft  ( after rounding the answer to 3 significance figures)

Step-by-step explanation:

formula for the area of triangle

= S + S + S

= 4.34 + 3.78 + 5.27

= 13.9 ft

= 13.4 ( after rounding off to three significant figures )

           

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?

Answers

The measure of the length of line segment BC will be 31.2 units.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.

Let x be the length of BC.

x / 12 = 13 / 5

      x = 31.2

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

Answer:

31.2 units

Step-by-step explanation:

Aaron covers 300 miles in 6 hours, what's his average speed?​

Answers

Answer:

50mph

Step-by-step explanation:

Speed=v

time=t

distance=s

v=s/t

v=300m/6h

v=50mph

Let me know if my answer is wrong.

Hope this helps :) ❤❤❤

Answer:

[tex]\boxed{Speed = 50 miles/hr}[/tex]

Step-by-step explanation:

Given:

Distance = S = 300 miles

Time = t = 6 hours

Required:

Average Speed = v = ?

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

v = S/t

v = 300 miles / 6 hours

v = 50 miles/hr

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

Thank you for helping

Answers

Answer:

The answer is option B

Step-by-step explanation:

Using BODMAS the expression in the bracket

that's

( 9 + 3) must be solved first

Hope this helps you

the answers is B always start with the ()

Which function is graphed?

Answers

Answer:

the answer is the last one

Step-by-step explanation:

it is in form of f(x) = mx + b and mx is the slope and b is the y intercept

Answer:

f(x)= 2x - 6

Step-by-step explanation:

Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.

Answers

Answer:

171 points.

Step-by-step explanation:

If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.

The middle score is 91, so the other four scores added together will be 450 - 91 = 359.

The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.

That means that the sum of the two lowest test scores is 171 points.

Hope this helps!

Answer:

The sum of the two lowest test scores is 171.

Step-by-step explanation:

We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.

As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.

Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.

What is the probability of rolling a “4” on a fair 6-sided die and flipping a heads on a fair coin?

Answers

Answer:

Die: 16. 2/3%

Coin: 50%

Step-by-step explanation:

Well rolling a 4 on a 6 sided die is 1/6.

To make that a percent we first make it a decimal.

1 ÷ 6 = .16666 repeating

To make this a percent we move the decimal place 2 times to the right.

16.2/3%

The chance of flipping a heads on a fair sided coin is 50% because there are two sides with a 50/50 chance of being either.

Thus,

for rolling a 4 on a 6 sided die there is a 16.2/3% chance and a 50% for flipping a heads on a 2 sided coin.

Hope this helps :)

A sample of 353 people is surveyed. The people are classified according to political affiliation ("Democrat", "Republican", or "Independent"). They are also
classified according to opinion on a bill ("in favor of", "opposed to", or "indifferent to"). The results are given in the contingency table below.
In favor of
Opposed to
Indifferent to
Democrat
37
33
47
Republican
29
49
35
Independent
41
41
41
What is the relative frequency of respondents who are Republican?
Round your answer to two decimal places.
Х
?

Answers

Answer:

[tex]Relative\ Frequency = 0.32[/tex]

Step-by-step explanation:

Given

The table in the attached diagram

Total population of the survey = 353

Required

Relative frequency of respondents who are Republican

First we consider the data in the republican row; this is presented as follows;

Republican:  29 ------ 49 ----- 35

Next, we add up this data to give the total number of respondents who are republicans

Republicans = 29 + 49 + 35

Republican = 113

Recall that

Total population of the survey = 353

The relative frequency is calculated as follow;

[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]

[tex]Relative\ Frequency = \frac{113}{353}[/tex]

[tex]Relative\ Frequency = 0.3201133145[/tex]

[tex]Relative\ Frequency = 0.32[/tex] (Approximated)

Nath is a 23-year-old single male. He is in perfect health, and he has children. Which health
insurance policy is best for him?
Policy 1 Policy 2 Policy 3 Policy 4
Term Term Whole Whole
Term or whole
Death benefit
Protection period
Cost per year
Convertible term
$200,000 $200,000 $200,000 $200,000
26 years 30 years
Life Life
$400 $420 $5000 $8000
No
Yes
Yes
No
Dividends
No
Yes
Yes
Yes
Proceeds paid to beneficiary
Yes
Yes
Yes
Yes

which one?
Policy 2
Policy 1
Policy 4
Policy 3​

Answers

I think the answer is policy 1

Answer:

Policy 2

Step-by-step explanation:

I just took the test and got it right

Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence? 1.9, 4.9, 7.9, 10.9, 13.9, ...

Answers

Answer:

arithmetic; d = 3; 16.9

Step-by-step explanation:

4.9 - 1.9 = 3

7.9 - 4.9 = 3

10.9 - 7.9 = 3

13.9 - 10.9 = 3

--

13.9 + 3 = 16.9

Answer:

1. Arithmetic 2. 16.9

Step-by-step explanation:

To solve this problem you will need to know the difference between an arithmetic and a geometric.

   An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

   A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

   We can see in the sequence that the number that is being added over and over again is 3 so the first answer is arithmetic.

Now that we know that the sequence is arithmetic and the common difference is 3 we can plug that into the equation and we will see that 13.9 + 3 is 16.9

   

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X​

Answers

Answer: D)  h(x) = (1/4)x

This is the same as h(x) = x/4

In decimal form, it would be h(x) = 0.25x

=============================================

Explanation:

Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x

To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x

-----------

Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y

f(x) = 4x

y = 4x

x = 4y

4y = x

y = x/4

h(x) = x/4

We end up with the same result as before.

-----------

Extra info:

For any real number x, the following two equations are true

h( f(x) ) = x

f( h(x) ) = x

Based on the graph below, what is a reasonable estimate for the y value when x is -4?

Answers

Answer: i think the answer is 1.5

Step-by-step explanation:

Which expression is correctly written in scientific notation?

A. 398 x 10^1 B. 39.8 x 10^2

C. 3.98 x 10^4 D. .398 x 10^3


Need answer ASAP

Answers

Answer:

C. 3.98 x 10^4

Step-by-step explanation:

We are only allowed one non zero digit before the decimal

A. 398 x 10^1   3 non zero digits

B. 39.8 x 10^2   2 non zero digits

C. 3.98 x 10^4 1 non zero digit

D. .398 x 10^3  0 non zero digits

Answer is C :3.98x10^4

A baker starts with 100 pounds of flour. He uses the following quantities in one day: 3 3/8 lb, 18.25 lb, 8.6125 lb, 7 3/4 lb, and three recipes each requiring 5 7/16 lb. How much flour is left at the end of the day?

Answers

Answer:

45.7 lb

Step-by-step explanation:

3 3 /8 = 3.375 lb

18.25 lb

8.6125 lb

7 3/4 = 7.75 lb

5 7/16 = 5.4375 lb

Flour required of 3 recipes = 3 * 5.4375 = 16.3125 lb

                                                           3.3750  +

                                                          18.2500  +

                                                           8.6125   +

                                                           7.7500   +

                                                         16.3125

Quantity of flour used in a day  =   54.3000  lb

Quantity of left at the end of the day = 100 - 54.3

                                                             = 45.7 lb

pls help me i give brainliest

Answers

If I am not wrong it should be 5 units but still please give me a heart

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Other Questions
at Thanjavur is the finestexample of Chola architecture.a) Meenakshi templeb) Dilwara templec) Brihadeshwara temple PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50cents. If the wages are normally distributed, what is the percentage of workers getting paid between #3.75 and $5.00 an hour? A. 80.4% B.77.4% C.70.5% D.65.4% Does the table represent a function? Why or why not?45NWNWOX579A. No, because one x-value corresponds to two different y-values.O B. Yes, because every xvalue corresponds to exactly one y value.O C. No, because two of the y-values are the same.O D. Yes, because there is the same number of x-values as y-values. Select the correct answer. Which word correctly completes this sentence? Bolvar liber a varias naciones americanas de la dominacin ____________. A. estadounidense B. americana C. francesa D. espaola Suppose the rate of return on short-term government securities (perceived to be risk-free) is about 5%. Suppose also that the expected rate of return required by the market for a portfolio with a beta of 1 is 12%. According to the capital asset pricing model: a. What is the expected rate of return on the market portfolio? Nissans all-electric car, the Leaf, has a base price of $32,780 in the United States, but it is eligible for a $7500 federal tax credit. A consulting engineering company wants to evaluate the purchase or lease of one of the vehicles for use by its employees traveling to job sites in the local area. The cost for leasing the vehicle will be $4200 per year (payable at the end of each year) after an initialization charge of $2500 paid now. If the company purchases the vehicle, it will also purchase a home charging station for $2200 that will be partially offset by a 50% tax credit. If the company expects to be able to sell the car and charging station for 40% of the base price of the car alone at the end of 3 years, should the company purchase or lease the car? Use an interest rate of 10% per year and annual worth analysis. The recognized subjects of a nation or state are Question 1 - Part AMaria is bringing her sick dog Pedro in for a series of appointments at theveterinary clinic. Her total cost over the course of treatment will be $150 for testsand medicine plus $30 per appointment, a.Part AWrite an equation to show the total cost, t, she will owe.Part C what will be marias total discounted cost if pedros treatment requires three veterinary appointments? In what ways can you increase your human capital? What are some advantages of such an investment in yourself? what is a simile for the 4th amendment Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will add up to 72 years." How old is Vanessa? Please A scale drawing of Jimmy's living room is shown below: If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room? Length = 8 feet, width = 6 feet Length = 12 feet, width = 8 feet Length = 18 feet, width = 16 feet Length = 24 feet, width = 16 feet A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000? What writing guidelines should nursing assistants follow when communicating with patients? Check all that apply.keep messages shortelaborate each messageuse highlighters to writeuse a dark pen to writeprint in large letterswrite in cursive The path followed by a roller coaster as it climbs up and descends down from a peak can be modeled by a quadratic function, where h(x) is the height, in feet, and x is the horizontal distance, also in feet. The path begins and ends at the same height, covers a total horizontal distance of 100 feet, and reaches a maximum height of 250 feet. Which of the functions could be used to model this situation? A. h(x)=-0.1x^2-50x+250 B. h(x)=-0.1(x-50)^2+250 C. h(x)=-0.1(x-100)^2+250 D. h(x)=-0.1x^2+100x+250 What the answer now now After getting a raise at work, Jennie now regularly buys steak instead of hamburger. Based on this behavior, we can assume: Multiple Choice steak is a normal good, and hamburger is an inferior good for Jennie. steak is an inferior good, and hamburger is a normal good for Jennie. steak and hamburger are complementary goods for Jennie. steak and hamburger are normal goods for Jennie. Plot 1 1/3 and 2 7/9 who said "freedom is my birthright' A student environmental group is creating a campaign for locally sourced energy resources.What would be best for them to feature in their campaign?a coal mine located in their countya farmer with a field of solar panelsa company building a gas pipeline through the towna rancher drilling for oil in a horse pasture