You have to multiply by the complex conjugate so that you can clear the radical from the denominator.
Once you do the multiplication simplify the radical. There's still a common factor in -54, -18, & 75 so divide all those by 3.
Answer:
10.5
Step-by-step explanation:
65% of 70 is 45.5
So gold is 45.5 and silver is 54.5
so but45.5 + 54.5 = 100% but divide by 2
which is 50% but now we find 10% and 5%
10% = 7
5% = 3.5
now add 7 and 3.5 together
7+3.5 = 10.5
Answer:
I think its 900 square feet
Step-by-step explanation:
SA formula for triangular prism
SA=p×H+2B
p is perimeter
h is height
B is area of the base (Base times height)
perimeter is 9+12+15 which is 36
height is 20
area of one of the base is 108
now plug it in and calculate
36×20+2(108)
this is 936
you round down to 900 obviously
and there you go
Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer:
A) 800 seats
Step-by-step explanation:
Notice that an arithmetic sequence is formed with the number of seats. Since we're adding one seat each row, the last (25th) row will have 44 seats since the first row has 20 seats.
The sum of an arithmetic sequence is given by:
, where is the number of terms, is the first term, and is the last term
Therefore, substituting , , and , we get: