Answer:
3
Step-by-step explanation:
y=7-4
y=3
Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
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!
Answer:
8th term- 6,561
Step-by-step explanation:
Each term in the sequence is being multiplied by 3. For example, 3x3=9 and 9x3=27. Now, we need to continue multiplying numbers, so we can list them all here, still starting with 3.
1&2) 3x3=9
3) 9x3=27
4) 27x3=81
5) 81x3=243
6) 243x3=729
7) 729x3=2,187
8) 2,187x3=6,561
The 8th term of the geometric sequence is 6,561.
Hope this helps and have a great day! ^^
