Answer:
18 8/9 pots
Step-by-step explanation:
Total potting soil = 5 2/3 liters
Potting soil per pot = 3/10 liters
How many pots can Yao Xin fill?
Number of pots Yao Xin can fill = Total potting soil / Potting soil per pot
= 5 2/3 liters ÷ 3/10 liters
= 17/3 ÷ 3/10
= 17/3 × 10/3
= (17*10) / (3*3)
= 170/9
= 18 8/9
Number of pots Yao Xin can fill = 18 8/9 pots
Answer:
a. parallelgram
Step-by-step explanation:
Because you seem to have an understanding of the material, I will write my math, but no explanations for my work. Comment on this answer for an explanation, or if I did something wrong.
1. Find the length of the South side of the field.

2.Find the perimeter of the pumpkin field.

3. Find the perimeter of the whole field.

4. If
, what is the total perimeter?

Random Tangent:
If you want to involve
in finding these answers for whatever reason, your math is going to get messy. Here's what I tried before I realized you could multiply each side by
to get the total perimeter:

Now the other side. This one's even worse.

At this point, was realizing I wasn't going about the problem correctly, but did one last try by setting
. At this point in the equation, I simply had to stop, both due to complexity and technological problems.

I could possibly continue to solve, but I don't see a point. It was clear that this was NOT the right path to take finding the perimeter. It was here I realized that I could just multiply the two sides without
in them by
and--without as much difficulty--reach the correct answer.
Angle between
is
° .
<u>Step-by-step explanation:</u>
We have , two vectors u = <-5, -4>, v = <-4, -3> or ,
We need to find angle between these two vectors . Let's find out:
We know that dot product of two vectors is defined as :
, where x is angle between u & v !
⇒ 
⇒ 
Now , 
⇒ 
⇒
{
}
⇒ 
Now , Modulus of any vector
is
So ,

Putting all these values in equation
we get:
⇒ 
⇒ 
⇒
{
}
⇒
°
Therefore , Angle between
is
° .
The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y.
So, to do this, you use this form of expression: y=y
So you do the equality of both expressions, and find x.
But in your case, we have one equation that is not in the y= form: y+3=1/2x.
So you subtract 3 from each side, making it y=1/2x-3
Now, we can do y=y.
1/2x-3 = 5x-7x+8
1/2x-3=-2x+8
Then, we move the variables to a side, and the numbers to the other side of the expression, so you get:
1/2x + 2x = 8 + 3
5/2x = 11
To find x, you divide both sides by 5/2:
x= 11/(5/2)
x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second)
x=22/5
So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.
You can check your answer (this is very important):
y+3 = 1/2 * 22/5
y+3 = 22/10
y= -8/10
y=5x-7x+8
y=5(22/5)-7(22/5)+8
y=-8/10
Hope this Helps! :)