Answer:
5140 and 3140
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 140 - 40 = 240 - 140 = 340 - 240 = 100
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 40 and d = 100, thus
= 40 + (51 × 100) = 40 + 5100 = 5140
= 40 + (31 × 100) = 40 + 3100 = 3140
Answer:
2/8
Step-by-step explanation:
since 3/12 = 1/4, you have to find a fraction that equals 1/4 that has 2 as the numerator.
that would be 2/8 since 1/4=2/8.
Manipulating the left side of the equation, we obtain:
![\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Csin%20x%7D-%5Cdfrac%7B1%7D%7B%5Ccsc%20x%7D%3D%5Cdfrac%7B%5Ccsc%20x-%5Csin%20x%7D%7B%5Csin%20x%5Ccdot%5Ccsc%20x%7D%20)
Using that
![\csc x=\dfrac{1}{\sin x}](https://tex.z-dn.net/?f=%5Ccsc%20x%3D%5Cdfrac%7B1%7D%7B%5Csin%20x%7D)
:
Answer:
1a) 1141/660
3/5 + 6/11 +7/12
find the LCM of the denominators
the LCM of 5,11,12 is 660
after finding the LCM divide it with the denominator.
after dividing 660 by 5 i get 132. So i need to multiply it with 3. Now, i got 396. Do the same with the rest of the numbers.
u will get smth like this: 396+360+385/660
and the final answer will be1141/660.
b) 71/40
c) 211/28
d) 103/20