What is the area of this parallelogram? 44 cm² 55 cm² 99 cm² 220 cm² Parallelogram A B C D with side D C parallel to side A B an
d side A D parallel to side B C. Point F is between points D and C and connects to point B with a dotted segment. Point E is between points A and B is connected to point D with a dotted segment. D F B E is a rectangle with all right angles. D F is 4 centimeters. F C is 5 centimeters. E B is 4 centimeters. A E is 5 centimeters. D E is 11 centimeters.
1 answer:
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Answer:
See below
Step-by-step explanation:
(a) Field lines
A negatively charged particle has an electric field associated with it.
The field lines spread out radially from the centre of the point. They are represented by arrows pointing in the direction that a positive charge would move if it were in the field.
Opposite charges attract, so the field lines point toward the centre of the particle.
For an isolated negative particle, the field lines would look like those in Figure 1 below.
If two negative charges are near each other, as in Figure 2, the field lines still point to the centre of charge.
A positive charge approaching from the left is attracted to both charges, but it moves to the closer particle on the left.
We can make a similar statement about appositive charge approaching from the left.
Thus, there are few field lines in the region between the two particles.
(b) Coulomb's Law
The formula for Coulomb's law is
F = (kq₁q₂)/r²
It shows that the force varies inversely as the square of the distance between the charges.
Thus, the force between the charges decreases rapidly as they move further apart.
Answer:
Should be roughly 79.76% if I'm doing this right.
Step-by-step explanation:
Looking at the problem, you're given 3 things:
1) 6.8 million tonnes are recycled;
2) 6.8 million tonnes is 27% of the total household waste;
3) 20.1 million tonnes could be recycled.
Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.
It's not very difficult though, don't worry.
So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.
Setting up the first part of the problem requires you to convert 27% into a fraction. That's .
6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.
So we're starting out with this:
Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.
Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.
Now that you have this, you have to isolate x. Divide both sides by 27 to do this.
I'm gonna round that for simplicity's sake, because 185 repeats.
So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.
Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:
x being the percent we're solving for.
Cross-multiply again:
Divide both sides by 25.2:
Then round for simplicity's sake:
And you get 79.76% of household waste could be recycled.
Hope this helped!
**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.