Answer:
h=12 A=144 sq. cm.
Step-by-step explanation:
pythagoream therom:
9^2+h^2=15^2
81+h^2=225
h^2=225-81
h^2=144
Sq. rt h^2=sq. rt 144
h=12cm
1/2(b1+b2)h
1/2(5+19)12
1/2(24)12
1/2(288)
a=144
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
Algebra -> Polygons<span> -> SOLUTION: </span>Each exterior angle<span> is 100º </span>less than<span> its </span>interior angle<span> of ...</span>180<span>-x = </span>measure<span> of the corresponding </span>exterior angle<span> in degrees. </span>At each<span> vertex, there is an </span>interior angle<span> of </span>the polygon. ... The sum of the angles in those triangles (180+180<span>=360) is the same as the sum ... If a regular </span>polygon<span> has x sides, </span>then<span> the degree </span>measure<span>of </span>each exterior angle<span> is 360 divided by x.
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B. 10, C. 4.9, D. 5.1, E. 5
Answer:
$519.43
Step-by-step explanation:
bc it is
