Use identity -
(a+b)² = a²+b²+2ab
(5+√3)² = 5²+(√3)² + 2(5)(√3)
= 25 + 3 + 10√3
= 28 + 10√3
= 2(14+ 5√3)
Answer:
14 days
Step-by-step explanation:
Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.
50,000 - 8000 = 42,000 trinkets
Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity
42,000 / 3000 = 14 days
Therefore, it will take 14 days for the warehouse to be filled
She was 22 when she had triplets
so if the triplets are 12 then just add
22+12=34
or when she had Mia she was 18
if Mia is 16 then add
18+16=34
Also, she had another child at 23
if the child is 11 then add
23+11=34
Hope it helps! :)
Answer:
£152
Step-by-step explanation:
Solution:
Find out how much is 1/3 of 255 coins:
255 x 1/3 = 85
Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.
255 - 85 - 110 = 60
There are 60 20p coins, 85 £1 coins and 110 50p coins.
Find out the total value by calculating them all altogether.
60 x 20p = 1200
85 x 100p which is £1 = 8500
110 x 50p = 5500
I did them separately so that it wouldn't be so confusing.
Convert them into £, then after that add them up.
£12 + £85 + £55 = £152
Answer:
Step-by-step explanation:
a )
5⁵ = 3125 and 5⁴ = 625
log5(3125) = 5 and log5(625) = 4
so log5(2350) will be greater than 4 but less than 5 .
b )
10⁶ = 1000000 and 10⁵ = 100000
log10( 1000000) = 6 and log10( 100000) = 5
log(113700) will be greater than 5 but less than 6
c )
2¹¹ = 2048 and 2¹⁰ = 1024
log2( 2048) = 11 and log2(1024) = 10
log2(1144) is more than 10 but less than 11 .
