Vwxyz is a rectangular pyramid where WX is longer than XY. Is the slant height VA longer or shorter than the slant height VB? Explain your answer

Vwxyz Is A Rectangular Pyramid Where WX Is Longer Than XY. Is The Slant Height VA Longer Or Shorter Than

Answers

Answer 1

In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.

As given,

In rectangular pyramid VWXYZ,

WX>XY

⇒(WX/2)>(XY/2)

⇒AX>BX

Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle

AM=BX and BM=AX

So, BM>AM  __(1)

In right triangle VMA and VMB,

VA and VB are slant height (hypotenuse)

VM=perpendicular height

AM and BM are base

VA=√VM² + AM²

VB=√VM² + BM²  __(2)

From (1) and (2)

VA<VB

Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.

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Related Questions

There are 8 cherry and 4 orange ice pops in each
box. How many ice pops are there in 6 boxes?
A. 18
B. 52
C. 72
D. 192

Answers

C. 72 is the answer you are looking for, are you sure these are the questions you get in college?


Which of the following is(are) the solution(s) to 9|x-1|- -45?
OA. x=4,-6
OB. No Solution
OC. All values are solutions
OD. x=-4,6

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Hope this helps

Sorry if I'm wrong

Approximate 8 + 30 Cubed to the nearest tenth

Answers

Answer: A. 11.1
Explanation: The cubed root of 30 about 3.1, 3.1+8=11.1
11.10723251 is the answer :)

(x+5)(x-2) please solve this equation fast

Answers

Answer:

[tex] \large \bf \implies{ {x}^{2} + 3x - 10}[/tex]

Step-by-step explanation:

[tex](x + 5)(x - 2)[/tex]

Step 1) : Using the identity

[tex] \bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}[/tex]

Step 2) : Simplify it with using the identity told earlier in step 1) .

[tex] \bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^{2} + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^{2} + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^{2} +3x - 10[/tex]

Step 3) : We have got the answer in step 2) .

[tex] \large\bf \longrightarrow { {x}^{2} + 3x - 10}[/tex]

2x - (x + 1) = - 4 + 3(x-3)

Answers

Answer:

-1

Step-by-step explanation:

Enter a fraction that is equivalent to 4/5 with a numerator of 28.

Answers

Answer:

28/35

Step-by-step explanation:

4/5 *7/7=28/35

Answer:

pre-test

Step-by-step explanation:

(1) identifity my own strengths

interest and challenges.

Bottoms Up Diaper Service is considering the purchase of a new industrial washer. It can purchase the washer for $7,200 and sell its old washer for $2,500. The new washer will last for 6 years and save $1,700 a year in expenses. The opportunity cost of capital is 15%, and the firm’s tax rate is 21%.

Answers

Answer:

ysfsfdf

Step-by-step explanation:

frfrfrfrb

rewrite 17/18 and 11/12 so that they have a common denominator.

Answers

Answer: 17/18=34/36

11/12=33/36

Step-by-step explanation:

17/18 and 11/12

First find the LCM, least common multiple, of the denominators 18 and 12.

In order to do that, list the factors of 18 and 12 and find the least common factors of them excluding 1.

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

Notice any common small factors? Yes they are 2 and 3. Now, multiply them with 18 and 12.

18*2=36

12*3=36

Hence, LCM is 36.

17/18=(17*2)/(18*2)=34/36

11/12=(11*3)/(12*3)=33/36

the point (3, 5) is on the graph of the function f, then the point (x, y) =

is on the graph of F-1.

Answers

let me give you a mouthful of something

the domain of f(x) is the range of its inverse, or namely the domain of f(x) is the same set as the range of f⁻¹(x), so for any (a , b) pair on the domain of f(x), there's a (b , a) on the range of f⁻¹(x).

now, that's a bit of of a mumble, but in short it means, if f(x) has a point of (3 , 5), then the graph of f⁻¹(x) has a point which is the same pair but flipped sideways, namely (5 , 3).

that's pretty much true for any function that has an inverse.

The diameter of the sun is approximately 1.4x10^9 Km and the diameter of Earth is approximately 1.28x10^4 Km. About how many times Earth's diameter is the sun's diameter?

Answers

The sun's diameter as described in the task content is; ; 1.09 × 10⁵ times the earth's diameter.

This follows from the given premise that; the diameter of the sun is approximately 1.4x10⁹ Km and the diameter of Earth is approximately 1.28x10⁴ Km

By how much is the sun's diameter greater than the earth's diameter?

According to the task content; The diameter of the sun is approximately 1.4x10^9 Km and the diameter of Earth is approximately 1.28x10^4 Km.

The number of times by which the sun's diameter is greater than the earth's diameter can be evaluated as follows;

= 1.4 × 10⁹/1.28 × 10⁴

= 1.09 × 10⁵

Ultimately, The sun's diameter as described in the task content is; 1.09 × 10⁵ times the earth's diameter.

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A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a
40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268
worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of
the job. Then calculate this total.
Select the correct choice below and fill in the answer box to complete your choice.

Answers

Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $

The total estimated cost is $9,768

What is the total estimated cost?

The total estimated cost of the job can be found by the formula:

= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit

The total estimated cost is therefore:

= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700

= 1,800 + 4,000 + 3,268 + 700

= $9,768

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Question: Hello: )✨A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a

40-hour work week. He plans to have three laborers at $15 per hour and four masons at $25 per hour. He'll need $3268

worth of materials and wishes to make a profit of $700. Write a mathematical statement that will give the estimated cost of

the job. Then calculate this total.

Select the correct choice below and fill in the answer box to complete your choice.

Answer: Checked to see if this was right* Based on the number of hours in the work week, the cost of the laborers and masons, worth of the materials and the profit, the estimated cost of the job can be written as a mathematical statement of A. 3 x $15 x 40 + 4 x $25 x 40 + $3,268 + $700 = $

The total estimated cost is $9,768

What is the total estimated cost?

The total estimated cost of the job can be found by the formula:

= (Number of laborers needed x Cost of laborers x Number of hours in work week) + (Number of masons x cost of masons x number of hours in work week) + materials worth + Required profit

The total estimated cost is therefore:

= (3 x $15 x 40) + (4 x $25 x 40) + $3,268 + $700

= 1,800 + 4,000 + 3,268 + 700

= $9,768

Have an awesome day/night<3

what are 2 common sources of income?

Answers

earned income
passive income
business income

passive income

dividends, real estate, interest income

active income

salary, business income,  

select the correct graph for the function f(x) = - x - 7

Answers

Answer: the one that cross -7 and -7

Step-by-step explanation:

f(x)= -x-7

y=mx+b m is the slope and the b for y-intercept form

y-intercept  (0,-7)   m= -1

-1 the line go  down from left to right

4. Write the numbers between the following numbers.
(a) 2,390, 340 and 2,390,345
(b) 18,851 and 19,857
(c) 4,004 and 4,010
(d) 761,681 and 761,686
(e) 624,180 and 624,185 to

Answers

Answer:

2,390

18,851

4,004

761,681

624,180

what is an equation of the line that passes through the points (-4,-7) and (2,8)

Answers

Answer:

y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]

Step-by-step explanation:

Step 1:

Compute the slope (-4, -7), (2,8):

m=5/2

Step 2:

Compute the y intercept:

b=3

Step 3:

Add the results together:

y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]

Hence, the final answer is y=5/2x+3 or [tex]y=\frac{5}{2}x+3[/tex]

Greetings from Brasil...

One way to solve this question is through determinant

| X     Y     1 |

| X₁    Y₁    1 |  = 0

| X₂    Y₂   1 |

We have:

(X₁; Y₁) = (-4; -7)

(X₂; Y₂) = (2; 8)

then

| X   Y   1 |

| -4  -7   1 |  = 0

| 2   8    1 |

- 15X + 6Y - 18 = 0

________________________________

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[tex]1/2(4x-2)\leq 9+7x[/tex]

Answers

[tex]\cfrac{1}{2}(4x-2)\leqslant 9+7x\implies 2x-1\leqslant 9+7x\implies -1\leqslant 9+5x \\\\\\ -10\leqslant 5x\implies \cfrac{-10}{5}\leqslant x\implies {\LARGE \begin{array}{llll} -2\leqslant x \end{array}}[/tex]

le's notice that, we divided by a positive number, thus the inequality sign didn't flip.

I STILL NEED HELP URGENTLY
The coordinates of the endpoints of
FG are F(–8,3) and G(–2,–9). Point H is on FG and divides it such that FH:GH is 1:2.
What are the coordinates of H?

Answers

The coordinates of H are (-9,-1) when H is on FG and divides it such that  FH:GH is 1:2.

Section formula is employed to search out the magnitude relation within which a line section is split by some extent internally or outwardly. it's accustomed resolve the centre of mass, incenter and excenters of a triangle.Section formula is employed to see the coordinate of some extent that divides a line section change of integrity 2 points into 2 elements specified the magnitude relation of their length is m:n.Let P and alphabetic character be the given 2 points (x₁,y₁) and (x₂,y₂) severally, and M be the purpose dividing the line-segment PQ internally within the magnitude relation m:n, then kind the sectional formula for determinative the coordinate of some extent M is given by: (x , y ) = mx₂+ nx₁/m + n , my₂ + ny₁ / m + n .

It is given that  F(–8,3) and G(–2,–9) and ratio of  FH:GH is 1:2.

The diagram of this question is given below.

Let  coordinates of H be ( x , y) .

By using sections formula , we get

(x , y) = ( 1(-2) + 2(-8) / 1+2 , 1(-9) +2(3) / 1+2 )

(x , y) =  ( -2 -16 / 1 +2 , -9 +6 / 1 +2 )

(x , y) = ( -18 / 3 , -3/3)

(x , y) = ( -9 , -1)

On comparing , we get x = -9 and y = -1.

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A(n) ____ of a polyhedron is the intersection of the _____ of the polyhedron

Answers

An Edge of a polyhedron is the intersection of the Vertex of the polyhedron.

What is a polyhedron?

A polyhedron  can be described as the 3-dimensional solid that is been formed through the combination of more than one polygons and they usually have different faces which is been used in knowing them as well as their classification.

It should be noted that this polyhedrons  can be categorized based on the  number of faces that can be found on them, however in this case we can conclude that the Vertex serves as the point of intersection that the edges of  polyhedron has.

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Answer:

edge, vertex

Step-by-step explanation:

Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.
s(x) = x¹ +4x³ - 64x - 256; x+4

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]x^4+4x^3-64x-256\\=x^3(x+4)-64(x+4)\\=(x+4)(x^3-64)\\-----------\\s(x)=x^4+4x^3-64x-256\\=(x+4)(x^3-4^4)\\=(x+4)(x-4)(x^2+4x+16)\\[/tex]

Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why.
A sample of seven admission test scores for a professional school are listed below.

11.3, 9.9, 9.6, 11.5, 9.6, 11.2, 10.6

Answers

The mean is  12.28

The mode is 9.6.

The median is 10.25.

What is the median, median and mode?

Mean, median, and mode are measures of central tendency. Mean is the average of a set of numbers. Median is the number that is at the center of a dataset when the dataset is arranged in ascending or descending order. Mode is the number that occurs most frequently in a dataset.

Mean = sum of numbers / total number

(11.3 + 9.9 + 9.6 + 11.5 +9.6 + 11.2 + 10.6) / 6

= 73.7 / 6

= 12.28

The number that occurs most frequently is 9.6. It occurs twice in the dataset. 9.6 is the mode.

The median = (total number + 1) / 2

(6 + 1) / 2

= 7/2 = 3.5 digit

9.6, 9.6, 9.9, 10.6, 11.2, 11.3

(9.9 + 10.6) / 2

= 20.5 / 2 = 10.25

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ginny wants to join a local dance club that has dance events every.there are two memberships options avaiable

Answers

Using linear functions, it is found that Ginny must attend at least 13 events to make the premier member package cost less.

What is the complete question?

The complete question is given as follows:

"Ginny wants to join a local dance club that has dance events every week. There are two membership options available: Ginny may become a premier member by paying a fee of $150 per year and attend an unlimited number of dances. Ginny may become a regular member by paying a fee of $50 and then pay $8 per dance she attends. How many dances must Ginny attend such that becoming a premier member will cost less than becoming a regular member? "

What is a linear function?

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The flat fee is the intercept.The cost per dance is the slope.

Hence the functions for each option are given as follows:

P(x) = 150.R(x) = 50 + 8x.

Being a premier member will cost less when:

P(x) < R(x).

Hence:

150 < 50 + 8x

8x > 100

x > 100/8

x > 12.5 -> at least 13 events.

Ginny must attend at least 13 events to make the premier member package cost less.

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One spring day, Camila noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 60° F. For the next 4 hours, the temperature rose 2° per hour. For the next 2 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 3 hours, the temperature dropped 2° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Camila's data.

Answers

The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

How to Graph a Table of Values?

The question is a word problem that involves constructing a table of values and then graph the table values data as below;

Time      Temperature

6:00        56

7:00        59

8:00        62

9:00        65

10:00       66

11:00        67

12:00       68

13:00       69

14:00        70

15:00        70

16:00        70

17:00        70

18:00        70

19:00        67

20:00       64

21:00        61

00:00        60

The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

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Help please. the area A of a rectangle is represented by the formula A=1w where I is the length and W is the width. write an equation that would make it easy to find the length of the rectangle

Answers

When the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.

How to illustrate the information?

It should be noted that the area A of a rectangle is represented by the formula A= lw

where I is the length

W is the width

It should be noted that based on the information, we want to find the formula to solve for the length.

A = lw

Divide through by w

A/w = lw/w

l = A / w

Therefore, when the area A of a rectangle is represented by the formula A= lw, the formula for the length will be l = A / w.

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please help me i’ll give you brain list as long as it’s right

Answers

Answer:

Rational & Integer

Step-by-step explanation:

Rational numbers are real numbers. Unlike Irrational numbers, they have a clear value.

Integers are just counting numbers but including 0 and negative numbers.

Hope this helps :)

If you have two quarters, five dimes, and three pennies how much money do you have?

Answers

Answer:

2 quartes is equal to 50 cent, 5 dimes is equal to 50 cent, and 3 pennies is equal to 3 cents.

50 + 50 + 3 = 103

$1.03

Step-by-step explanation:

Hope it helps! =D

Answer:

1 dollar and 3 cents.

2 cents=0.5 dollars

5 dimes=0.5 dollars

3 pennies=0.03 dollars

$1.03

Which number line represents the solution set for the given inequality?
x+1 ≤-3 or-4x<-8

Answers

Answer:

x ≤-4 or x> 2

Step-by-step explanation:

x+1 ≤-3 or-4x<-8

First solve the inequality on the left

x+1 ≤-3

Subtract 1 from each side

x+1-1 ≤-3-1

x ≤-4

Then solve the inequality on the right

-4x<-8

Divide each side by -4, remembering to flip the inequality

-4x/4 > -8/-4

x > 2

Put them back together

x ≤-4 or x> 2

Closed circle at -4 and line going to the left and open circle at 2 and line going to the right

Mutiply the fractions and reduce to lowest terms 2/5 × 3/8

A.12/100=3/25

B.3/10

C.3/20

D.6/13

Answers

Answer:

3/20

Step-by-step explanation:

when multiplying fractions, you don't have to worry about changing denominators, since they will multiply together, so just multiply the numerators and denominators

2*3/5*8=6/40

Then, simplify

6/2/40/2=3/20

Brandon and Kevin both made the All-State Basketball team. Brandon averaged 21.25 points per game in 16 games. Kevin averaged 20.5 points per game in 18 games.

How many more total points did Kevin score than Brandon?

Answers

Kelvin score 29 points in All-State Basketball team more than Brandon.

We are given that

Brandon averaged 21.25 points per game in 16 games which means that the mean of points made by Brandon in All-State Basketball team of 16 matches is 21.25

So, the total points made by Brandon is

21.25 × 16 = 340

Kelvin averaged 20.5 points per game in 18 games which means that the mean of points made by Kelvin in All-State Basketball team of 18 matches is 20.5

So, the total points made by Kelvin is

20.5 × 18 = 369

we can see that total score made by kelvin is more

The difference is 369- 340 = 29

Hence, Kelvin score 29 points in All-State Basketball team more  than Brandon.

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solve system of equations by using elimination method. (solve for (x,y,z) please explain the steps im so confused.
4x-y-2z=-8
-2x+4z=-4
x+2y=6

Answers

The solutions of the system of equations are:

x = -2, y = 4, z = -2

How to solve a system of equations by the elimination method?

Here we have the system of equations:

4x - y - 2z = -8

-2x + 4z = -4

x + 2y = 6

To eliminate one variable, we can add the second equation and two times the third equation, we will get:

(-2x + 4z) + 2*(x + 2y) = -4 + 2*6

Now we can simplify that so we get:

4z + 4y = -4 + 12

4*(z + y) = 8

z + y = 8/4  =2

z + y = 2

With that we can write z in terms of y.

z = 2 - y

And with the third equation we can write x in terms of y.

x = 6 - 2y

Replacing that in the first equation we get:

4*(6 - 2y) - y - 2*(2 - y) = -8

Now we can solve this for y.

24 - 8y - y +2y - 4 = -8

20 - 11y = -8

-7y = -28

y = 28/7  = 4

Now that we know the value of y we can find the values of x and z.

x = 6 - 2y = 6 - 2*4 = -2

z = 2 - y = 2 - 4 = -2

The solutions of the system of equations are:

x = -2, y = 4, z = -2

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yossi used to have a square garage with 364ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

The original length of the square garage is 19.1 ft.

The length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.

How to find original land new length of the square garage?

Yossi used to have a square garage with 364ft of floor space.

Recently, built an addition to it.

The garage is still a​ square, but now it has​ 50% more floor space

Therefore,

area of a square = l²

where

l = side length

Therefore,

364 = l²

l = √364

l = 19.0787840283

l = 19.1 ft

Therefore, the original length of the square garage is 19.1 ft.

After 50% increase in the area,

New area = 50 / 100(364) + 364

New area = 546 ft²

Therefore,

546 = l²

l = √546

l = 23.3666428911

l = 23.4 ft

Hence,

percentage increase in length = 19.1 / 23.4 × 100

percentage increase in length = 1910 / 23.4

percentage increase in length = 81.6239316239

percentage increase in length = 81. 6 %

Therefore, the length of the new garage is 23.4 ft and the percentage increase in length is 81.6 %.

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What term is used to describe public/private partnerships, such as the liverpool direct call center, that brings together private sector systems and technology expertise with public sector services and values?. 1. Highlight the pronoun and underline the antecedenta. The coach showed the players how they should throw the ball.b. Since many people told the same story, the historian believed it.C.She loved her job, but it took up all of her time which made her very tired. Which of the following functions are continuous for all real numbers?f(x) = eg(x)=xChoose 1 answer:f onlyg onlyBoth f and gNeither f nor g on january 1, 2019, the balance in tabor co.s allowance for bad debts account was $26,800. during the first 11 months of the year, bad debts expense of $42,924 was recognized. the balance in the allowance for bad debts account at november 30, 2019, was $19,526. Which word or phrase best completes this conversation? Pablo: Viv con m ta durante dos meses. Miguel: Cundo? Pablo: _______. A. La semana pasada B. Anteayer C. Anteanoche D. El verano pasado What is the main idea of this text? the united states has brought peace and liberty to the philippines. the people of the philippines now enjoy the benefit of the american economy. the united states should let the people of the philippines rule themselves. the edict of nantes: gave huguenots limited religious freedoms. established universal religious toleration in france. settled the border between france and spain. ended french involvement in northern italy. When do scientists have to rely on estimates? A store is having a sale on walnuts and chocolate chips. For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $13. For 2 pounds of walnuts and 6 pounds of chocolate chips, the total cost is 16. Find the cost for each pound of walnuts and each pound of chocolate chips. Throughout nationalities of the entire human race are_______of a great flood The area of a telescope lens is 6.902x10^3 mm^2 what is the area in square feet. Answer in scientific notation A parking area at a department store is shaped like a quarter circle with a radius of 123 meters. Due to the fact that the department store is to be rebuilt, the parking area must be temporarily reduced to 1/3 of its original area. What is the radius of the new parking area assuming it is still a quarter circle?a. 91 mb. 71 mc. 77md. 82 m Melvin ordered a cinnamon roll, 3 doughnuts, and 2 dozen doughnut holes. The sales tax was $0.72. He paid with a $20 bill. How much change should Melvin receive from a $20 bill? Responses A $9.66 B$10.34 C$11.78 D$11.06 What city is nearest to the latitude and longitude of 37 N, 97 W Name 5 factors that affect teen alcohol use Should south be capitalized in this context??"You may park in our parking garage; use the south entrance located across the street from Space Needle" What tool does the president have to create and guide the federal bureaucracy in implementing policy? what conflict between humanity and inhumanity? 19.) the management section of the ethics rule states, in part, "an appraiser must a fee or commission, or gave a thing of value in connection with the procurement of an assignment." The dance team lines up in 4 rows of 6 dancers each. How many dancers are on the dance team? ? dancers 6 6 6 64 rows . ^ 6 dancers in each row