Answer:
4000
Step-by-step explanation:
Answer:
<u>There are 380 ways that 1st and 2nd place can be determined in the race</u>
Step-by-step explanation:
There are 20 possibilities for determine the 1st place
There are 19 possibilities for determine the 2nd place
Number of ways that 1st and 2nd place can be determined = 20 * 19
Number of ways that 1st and 2nd place can be determined = 380


To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.



To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

We cannot simplify √149, so we either leave it, or round it.

This is rounded to the nearest 10,000.

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.


There's really no way to solve this problem apriori (unless you can use tools like lagrange polynomials to interpolate points), so I'll just tell you how to approach problems like this.
First of all, we may try to see if the dependence is linear: the input is always increased by 4 (4, 8, 12, 16,...) and the output increases by 2: (5, 7, 9, 11). So, the answer is yes.
Now that we know that these points lay on a line, we can conclude the exercise in several ways:
- We already know that the slope is 1/2 (4 units up in the x direction correspond to 2 units up in the y direction). So, we only need the y-intercept. If we go back one step, we can see that the next point would be (0, 3) (I decreased the x coordinate by 4 and the y coordinate by 2). So, the y intercept is 3, and the equation of the line is

- We can use the equation of the line passing through two points:

Plug in two points of your choice and you'll get the same answer.
Of course, as a third alternative, you could just have eyeballed the answer: the fact that x grows twice as fast as y could have hinted the x/2 part, and then you could have seen that y is always 3 more than half of x, again leading to y=x/2+3.
Answer:
6 degrees Celsius
Step-by-step explanation:
It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6