Here's some guidelines to help you:
For 1, 4, 5, and 6, they are 30-60-90 triangles. What's that you may ask? Well, it means that the sides have a predetermined length when one side is given. In #1 for example, you have a side of 11sqrt3, this means that "n" is 11 because in a 30-60-90 triangle, the longer side is the sqrt3 times the length of the shorter side. So to get the shorter side, we divide by sqrt3 to get 11. "m", or the hypotenuse, can be determined by taking twice the length of the shorter side. Since we figured out earlier that the shorter side is 11, 11 times 2 is 22. So the answer for #1 is n=11, m=22.
For 2 and 3, they are 45-45-90 triangles, triangles where the two lengths are the same and the hypotenuse is either leg length times sqrt2. In problem #2 for example, "y" must be 17 because one leg length is 17. "x", or the hypotenuse, is equal to 17sqrt(2) because 17 times sqrt(2).
You can apply all these rules to the other 4 problems I didn't explain.
Hope this long explanation clears your doubts!
The situation which is not possible about the pencils in her box is; Choice B: The longest pencil in the box is 8cm long.
<h3>Mean and Measure of central tendency</h3>
By convention, the mean is a statistical measure of central tendency.
On this note, if the mean of a set of data values is 10, this means the data values have data points greater, equal and less than the mean value.
- On this note, it is impossible to have the longest pencil in the box to have a length, 8cm.
Read more on Mean;
brainly.com/question/281308
Answer:
3 degrees per hour
Step-by-step explanation:
2 degrees in 2/3 of an hour
2/2 = 1
1 degree in 1/3 of an hour
1*3 = 3
3 degrees in 1 hour
The answer is C.) A+2/5B.
Adding equation A to 2/5B will result in canceling the x terms, i.e. 2/5x + 2/5(-x) = 0.
Answer:
x = 1
Step-by-step explanation:
f(x) = 3x + 3
f(x) = 6
=> 3x + 3 = 6
=> 3x = 3
=> x = 1
