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PilotLPTM [1.2K]
3 years ago
7

Help Please I need help with everything shown on this page

Mathematics
1 answer:
evablogger [386]3 years ago
7 0
This question is all about dimensional analysis.  The whole idea behind dimensional analysis is that you multiply a starting value with different conversion factors to cancel out units you don't want to tern the value into the units that you do want.  The conversion for yards to feet can be written as 3 feet/yard (this is the conversion factor it can be written as 3feet/1yard or 1yard/3feet, it depends on what you are starting with).  If you start out with yards and and want to go to feet you have to multiply the number of yards by 3feet/yard so that the yards cancel out leaving you with feet.  If start out with feet and want to go to yards you divide the number of feet by 3feet/yard so that the feet cancel out and you are left with yards.

In your question Tom is trying to go from feet to yards.  Therefore he has to divide the number of feet by 3feet/yard to get feet to cancel out.  His mistake was that he multiplied by 3feet/yard instead of divide by 3feet/yard.  The correct way do it is divide 379 feet by 3feet/yard to get 126.33 yards.

Let me know if anything is unclear to you in the comments.  This is a very important skill to learn since this is the basis of many high school and college science classes.
I hope this helps.
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In your own words what would the steps be to solve by elimination.
Tanya [424]

Answer:

Enter the equations.

Multiply each equation by a number to get the lowest common multiple for one of the variables.

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7 0
2 years ago
WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
8 0
3 years ago
I need help fast! This is polynomials help
antiseptic1488 [7]

Answer:

  • incorrect
  • correct
  • incorrect

Step-by-step explanation:

A + B = (-4x^2 +2x -5) +(3x^2 +6) = x^2(-4+3) +x(2) +(-5+6) = -x^2 +2x +1

  The given sum is Incorrect.

__

A - C = (-4x^2 +2x -5) -(-5x -4) = -4x^2 +x(2+5) +(-5+4) = -4x^2 +7x -1

   The given difference is Correct.

__

B + C = (3x^2 +6) +(-5x -4) = 3x^2 -6x +2

  The given sum is Incorrect.

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3 years ago
A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 ​hours, while the outlet pipe can empty it
Rashid [163]

Answer:

                 time=40/3hours\approx 13.3hours

Step-by-step explanation:

The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

<u>1. Inlet rate:</u>

1vat/5hours

<u />

<u>2. Outlet rate:</u>

1vat/8hours

<u>3. Net rate:</u>

            \text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour

<u>4. Time to fill the vat</u>

           rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)

          time=40/3hours\approx 13.3hours

7 0
2 years ago
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