1. Answer = About 1451.42 m³
- First, we need to find the volume of the cube:
- Formula: πr²h
- Volume = π * 3² * 50 = 1413.72 m³
- Second, we need to find the volume of the cone:
- Formula: (πr²h)/3
- Volume = π * 3² * 4 = 37.69 m³
- Third, we need to add these two volumes to find the total volume of the figure.
- 1413.72 m³ + 37.69 m³ = 1451.42 m³.
2. Answer <em>= </em>960 m³
- Formula: (1/2(b*l)) * 20
- First, we need to find the area of the base (1/2 * b* l).
- 1/2 * 8 * 12 = 48.
- Second, we need to multiply the area of the base by the height to get the volume.
- B * h = 48 * 20 = 960 m³.
If 3 out of 5 are oranges, this means the ratio is 3 oranges for every 5 total.
If there are 12 oranges, this is 4 groups of 3 oranges. You will need 4 groups of 5 total to make it equivalent.
4 x 5 = 20 total fruit.
<u>3</u> x <u>4 </u>= <u>12</u>
5 x 4 20
Our P = 100, r = .08, n = 1 (annually means once a year), and t = 15. Filling in accordingly, we have
. Simplifying a bit gives us
and
. Raising that number inside the parenthesis to the 15th power gives us
. Multiplying to finish means that A(t) = $317.22
Answer:
x>22
Step-by-step explanation:
Solve the inequality:
-3x<-14-52
-3x<-66
x>22
( You have to switch the sign because you are dividing by a minus)
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
