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
cricket20 [7]
2 years ago
14

How many cubic feet are in 3 cubic yards?

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0
For every cubic yard, it equals to 27 cubic feet.

So, could have this fraction \frac{27 feet^3}{1 yards^3}
And we want to convert 3 cubic yards into cubic feet.

We can express 3 cubic yards as \frac{3 yards^3}{1}

Now multiply the \frac{3 yards^3}{1} fraction by the second fraction or the reciprocal of the second fraction to cancel out the yards^3 units.

\frac{3 yards^3}{1} * \frac{27 feet^3}{1 yards^2} =  \frac{81 feet^3}{1}

So, 3 cubic yards to equal to 81 cubic feet.
You might be interested in
A. Find the amplitude.
Feliz [49]

Answers:

  • a) Amplitude = 2
  • b) Period = pi
  • c) Vertical shift = -2, which means it has been shifted down 2 units.
  • d) Horizontal shift = 3pi/8, this shifting is to the right.
  • e) There is <u>  one  </u> cycle between 0 and 2pi.
  • f) The equation of the graph is y = 2*sin(2(x-3pi/8))-2

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

Explanations:

Part (a)

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

Note: Amplitude is always positive as it measures a distance.

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

Part (b)

For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.

The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8

So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi

The graph repeats itself every pi units, so the period is pi.

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

Part (c)

The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.

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

Part (d)

This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.

The parent sine function y = sin(x) goes through the origin (0,0)

However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)

This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2

This must mean we need to shift the sine graph 3pi/8 units to the right.

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

Part (e)

Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).

So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.

Overall, one full cycle is between 0 and 2pi.

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

Part (f)

Again I'm going to use sine instead of cosine. Refer back to part (d).

The general sine curve equation is

y = A*sin(B(x-C))+D

where

  • |A| = amplitude
  • B handles the period, specifically T = 2pi/B where T is the period. We can solve for B to get B = 2pi/T
  • C = horizontal phase shift
  • D = vertical shift, and ties together with the midline equation

In this case, we found that

  • |A| = 2
  • T = pi leads to B = 2pi/T = 2pi/pi = 2
  • C = 3pi/8
  • D = -2

So,

y = A*sin(B(x-C))+D

will update to

y = 2*sin(2(x-3pi/8))-2

which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).

6 0
2 years ago
Whats the perimeter
kotykmax [81]
It the outside of a figure
5 0
3 years ago
Read 2 more answers
Geometry grade 10 how do we see the adjecent side ​
RideAnS [48]

Answer: These sides are labeled in relation to an angle. The opposite side is across from a given angle. The adjacent side is the non-hypotenuse side that is next to a given angle.

Step-by-step explanation:

8 0
1 year ago
True or False: A bisector of an angle divides the angle into right angles.
kenny6666 [7]
False. A bisector divides the angle evenly, not into right angles.
5 0
3 years ago
I don’t understand this one
Masja [62]

Answer:

  see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

__

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

  (x +1)

Substituting x=-1 into this factor makes it be ...

  (-1 +1) = 0

__

Evaluating the first expression, we have ...

\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)

5 0
3 years ago
Other questions:
  • a volleyball team won 60%, or 18 of the games they played. write and solve an equation to determine the number of games the voll
    8·1 answer
  • The dot plot below shows the number of books 26 students read in a month:
    5·1 answer
  • To determine whether there is a relationship between the type of school attended and verbal reasoning scores for Irish students,
    15·1 answer
  • BRAINLYEST i need help please answer it BRAINLYEST
    8·2 answers
  • What’s the speed limit in kph for a speed limit of 20 miles per hour if 100 kilometers per hour is 62 miles per hour
    14·1 answer
  • What number is 2 times the difference between 6 &amp;3? PLEASE BRAKE DOWN ANSWER!!
    11·1 answer
  • If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
    8·1 answer
  • What should A and B equal?<br><br> marking brainliest for correct answer!!
    10·1 answer
  • Solve for x -6x-2≥16
    6·2 answers
  • a father is 24years older than his son. if the son is x years old, how old is the father and if the ratio of their ages is 5:2,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!