<span>First, I'm going to categorize the portions of the rectangle. The red portions are grid squares that are completely enclosed by the rectangle, the green portions are the corners and finally the blue regions are the edges.
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Answer:
The pellet will last after 12 days
Step-by-step explanation:
* Lets change the story problem to equations to solve it
- There is a pound of guinea pig pellets
- One pound of pellets is about three cups of food
- Each guinea pig eats 1/4 cup of pellets a day
* Lets use these information to solve the problem
∵ One pound of guinea = 3 cups of food
∵ The guinea pig eats 1/4 cup a day
- The pig can finish one cup in four days
∵ The number of days = number of cups ÷ the eaten in a day
∵ The number of cup = 3 cups
∵ The eaten pellets in a day = 1/4
∴ The number of days = 3 ÷ 1/4 = 3 × 4/1 = 12 days
* The pellet will last after 12 days
Answer: 10.00
Step-by-step explanation:
You had to multiply and divide and see what you get.
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.
30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:
(4√3)/3
and then add that to 2√3:
(4√3)/3 + -2√3
(4√3)/3 + (-6√3)/3 = (-2√3)/3
We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).
60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:
4 x √3 = 4√3
4√3 + -2√3 = 2√3
So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).
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