Answer:
The answer is C that is the answer
Answer:
8 Gallons Per Minute
Step-by-step explanation:
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
Infinite series can either be convergent or divergent. It is convergent if the series has a limit and would approach a certain real number. It is divergent if it has no limits.
The given above is a series that is comprised of whole numbers and can go as large as the positive infinity. Because of this, the answer to this item is Divergent.
Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
![(8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}](https://tex.z-dn.net/?f=%288x%20-%2016%29%20%20%3D%20%20%286x%20%2B%2020%29%20%5C%5C%202x%20%3D%2036%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%2018%7D)
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
<h3>Hence, angle O is <u>52°.</u></h3>