109/18= 6.05 18 goes into 109 6 times with a remainder or .5 so your answer is 6.05
Answer:
4608*sqrt(3)
Step-by-step explanation:
x + 2x = 3x, so 3x is the height of the triangle. This is a 90-60-30 triangle so the base would be 3x*sqrt(3). To find the area, we can multiply the base with the height and divide by two, so it would be (3x)(3x*sqrt(3))/2 or (9/2)x^2 * sqrt(3). x = 32, and plugging this into the equation gets us to (9/2)32^2 * sqrt(3), which is 4608*sqrt(3).
Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.
If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

So, at the moment, our parallel line looks like this...
y=(2/3)*x + C
However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.
-2=(2/3)*(1) + C
Therefore:
C = - 2 - (2/3)
C = - 6/3 - 2/3
C = - 8/3
This means that the line you are looking for is:
y=(2/3)*x - (8/3)
Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.
Answer:
15 / 17 = 0.882
round it to the nearest hundreth.
.89
Step-by-step explanation: