Answer:
Step-by-step explanation:
We are given a ratio for this problem so we will use the formula for when we are given a ratio (as opposed to the formula for when you are given that the point you're looking for is a fraction of the way from one point to another, like 1/3 of the way from point A to point B. That's a different formula).
The formulas are for the x and y coordinates of the point in question:
and where
a = 3 (from the ratio),
b = 1 (from the ratio),
x1 = -4, y1 = 0 (from point J)
x2 = 0, y2 = 4 (from point K). Filling in for x first:
gives us
and now for y:
gives us
Therefore, the coordinates that partition that segment into the ratio of 3:1 are (-1, 3)
Answer:
If it takes him one hour to walk 5 kilometers, it would take 12 minutes to walk one kilometer, which equals .2 hours.
Step-by-step explanation:
1 hour = 60 minutes. 60/5= 12
60/10 = 6 minutes per tenth of an hr.
So, how much acid is there in 6 gallons? well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.
now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it? well (90/100) * y, or 0.9y.
now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it? (100/100) * x, or 1x or just x.
we know whatever "x" and "y" amounts are, they -> x + 6 = y
and we also know that x + 1.2 = 0.9y
Answer:
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the length and "w" is the width.
The area of a triangle can be found using the following formula:
Where "b" is the base of the triangle and "h" is the height.
You can observe that the figure is formed by three different rectangles, Using the formulas, you ge that the area of each rectangle is:
The triangles are equal, then, using the formula shown above, you get that the area of each of them is:
Adding all the areas, you get that the surface area of the figure is: