1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Viefleur [7K]
3 years ago
5

Consider the volume of a rectangular pyramid, one whose base is not square. Does changing one of the three variables (length, wi

dth, or height) by a given fraction have a greater effect on the volume of the pyramid than changing either of the other two variables? That is, which variable, if any, has the largest influence on the volume? Assume that the other two variables remain constant. Explain your answer.
Mathematics
2 answers:
user100 [1]3 years ago
4 0

Let

L------> the length of the base of the pyramid

W-----> the width of the base of the pyramid

H-----> the height of the pyramid

V------> Volume of a rectangular pyramid


we know that

V=(1/3)*[L*W]*H

so

the three variables are going to have the same influence on the volume


example

case a) let's change the variable L (we reduce the variable by half)

L=(1/2)*L

the new volume is equal to

V new=(1/3)*[(L/2)*W]*H-----> V new=(1/2)*V

the new volume is half the original volume


case b) let's change the variable W (we reduce the variable by half)

W=(1/2)*W

the new volume is equal to

V new=(1/3)*[(W/2)*L]*H-----> V new=(1/2)*V

the new volume is half the original volume


case c) let's change the variable H (we reduce the variable by half)

H=(1/2)*H

the new volume is equal to

V new=(1/3)*[L*W]*H/2-----> V new=(1/2)*V

the new volume is half the original volume


therefore


the answer is

the three variables have the same influence on the volume

vazorg [7]3 years ago
4 0

Answer:

PLATO SAMPLE ANSWER:

No. Changing one of the three variables (l, w, or h) by a given fraction has the same effect on the volume of a rectangular pyramid as changing either of the other two variables because each variable appears as a factor in the volume formula.

Step-by-step explanation:

You might be interested in
What is the slope of the line with equation y=-x
zmey [24]
The slope intercept form is  y=mx+b
in this case                         y=-x
                                           y=(-1)x + 0
 so the slope m=-1 and y-intercept which is b is 0 
6 0
3 years ago
SIMPLE AND CLEAR i hate brainly
HACTEHA [7]

Im not sure just give me a minute

7 0
2 years ago
Write an equation in slope-intercept form for the line with slope 1/4 and y intercept -4. Then graph the line​
quester [9]

Answer:

Step-by-step explanation:

slope intercept form is y = mx + b

b is the y intercept ( crossing y axis value)....     by inspection   b = -4

m is the slope of the line,  Slope = m = 1/4      note: the slope is positive

the slope equals the 'rise' over 'run'  

if the line moves up the slope is positive, if the line moves down the slope is negative

the rise is how many y units does the line go 'up' or 'down'

the run is how many x units does the line go 'left' or 'right'

the rise = 1  Y unit

the run = 4 X units

y = mx + b    m =1/4  b = -4

y = (1/4)x + (-4)

y = (1/4)x - 4

graph a line stating at y = -4 and going up (rising) to the right ONE Y Unit for  every FOUR X units (the run)

3 0
3 years ago
Solve the simultaneous equations y=3x+2 and y=x+6
kogti [31]

Answer:

x=2

Step-by-step explanation:

y=3x+2

y=x+6

Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.

Therefore, substitute into both equations as shown:

3x+2=x+6

3x-x=6-2  (bring 2 to the other side by subtracting 2 as well as x)

2x=4

2x/2=4/2  (dividing 2 on both sides to get rid off 2 in 2x)

x=2.

5 0
2 years ago
I need help with problems 1 and 2
statuscvo [17]
1. 1019634
2. 7816863
6 0
3 years ago
Read 2 more answers
Other questions:
  • A group of physical education majors was discussing the heights of female runners and whether female runners tended to be tall,
    8·1 answer
  • Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
    9·1 answer
  • 4) Manuel has an outstanding credit balance of $1117.00 on a credit card. The minimum
    13·1 answer
  • What half 7 1/2? Someone pls help meh​
    15·2 answers
  • A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The
    8·1 answer
  • Gretchen is refinishing her gazebo that is in the shape of a regular octagon. The length of one side is 3 feet and the apothem i
    12·1 answer
  • I don't know how to do this.​
    10·1 answer
  • PLS HELP I HAVE TO DO THIS BY TONIGHTT
    7·1 answer
  • Solve the system by graphing:<br> y = x^3 - 4x^2 + x + 3<br> y = 2x - 1
    8·1 answer
  • 3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!