122.24 divided by 6.4
And
30.56 divided by 1.6
Answer:
Step-by-step explanation:
The side of the square base is:
The formula for the surface area of the pyramid is:
The height is cleared in the previous expression:
![h = \sqrt{\frac{4}{9}\cdot \left[\frac{224\,cm^{2}-(8\,cm)^{2}}{8\,cm}\right]^{2}-\frac{1}{4}\cdot (8\,cm)^{2} }](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7B%5Cfrac%7B4%7D%7B9%7D%5Ccdot%20%5Cleft%5B%5Cfrac%7B224%5C%2Ccm%5E%7B2%7D-%288%5C%2Ccm%29%5E%7B2%7D%7D%7B8%5C%2Ccm%7D%5Cright%5D%5E%7B2%7D-%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%288%5C%2Ccm%29%5E%7B2%7D%20%7D)
Answer: x = 67.5 ft
Explanation:
Following the statements you can draw the triangles mnp and mab.
1) Both are similar triangles with the common vertex m, and with these corresponding sides:
- segment mn corresponding to ma
- segment np corresponding np
- segment mp corresponding mb
2) So, by side-angle-side theorem
segment ma segment mb
------------------ = ---------------------
segment mn segment mp
3) You know:
- segment mn = 71.5
- segment ma = 71.5 - 22 = 49.5
- segment mb = x
- segment mp = 97.5
4) Therefore:
x 49.5
--------- = ----------
97.5 71.5
5) Solve for x:
x = 97.5 * 49.5 / 71.5 = 67.5
Answer: x = 67.5 ft.
Answer:
B .coz the sign is telling us the way it moves
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x: reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
