Answer:
5040
Step-by-step explanation:
You get this number by using the mathematical process of factorials.
Since <em>history </em>has seven words, we will solve seven factorial.
7! = 5040
Answer:
14.13 m^2
Step-by-step explanation:
Formula for area:
3.14*r^2
To find the radius(r), you do diameter(d)/2:
9/2=4.5
3.14*4.5^2=14.13 m2
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Answer:
The dimensions of rectangular fence are 14 feet and 20 feet.
Step-by-step explanation:
We are given the following in the question:
Length of rectangular fence = 14 feet
Width of fence = (14+x) feet
Area of rectangular field = 280 square feet
Area of rectangular field =
Putting the values, we get,
Thus, the dimensions of rectangular fence are 14 feet and 20 feet.
Answer:
< BAF <DAF
Step-by-step explanation:
The first angle is < BAF
The second angle is <DAF
The ray A,F has to be in the name of the angle
