The length of the diagonal should be 18 if I am not wrong!
Step-by-step explanation:
a2+ b2=c2
so 10x10+15x15=the diagonal
100+225=325
325 squared = 18
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
Answer:
Step-by-step explanation:
X=8
Step1 subtract 5x from both sides
Step2 subtract 7 from both sides
Step3 divide both sides by -2
