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tester [92]
3 years ago
13

Find the sum to n terms of the series 0.6+0.66+0.666+.....................

Mathematics
1 answer:
RSB [31]3 years ago
8 0
<span>We have
</span>0.6+0.66+0.666+0.6666

Let's take 6 out from the series
6(0.1+0.11+0.111+0.1111+....

<span>Now multiply and divide by 9
</span>\frac{6}{9}(0.9+0.99+0.999+0.9999+....

\frac{6}{9}(1-0.1+1-0.01+1-0.001+1-0.0001+....&#10;\\&#10;\\\frac{6}{9}(1-10^{-1}+1-10^{-2}+1-10^{-3}+...

<span>all 1s add up to n
</span>\frac{6}{9}(n-\frac{1}{10}\times \frac{1-(\frac{1}{10})^{n+1}}{1-\frac{1}{10}})

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3 years ago
What is the answer to this- 9th-grade geometry
NemiM [27]

Answer:

AB is congruent is CD.  (Last one)

Step-by-step explanation:

Hypotenuse leg is when the hypotenuse and ONE (you only need one, not two) leg of the triangle are congruent in a RIGHT triangle.

In the image, you already know that it is a right triangle and you know that the hypotenuse are congruent (Reflexive Prop) .You just need to know that the legs are congruent.  So you choose which one has the legs congruent.  The leg pairs that can be congruent are AD and CB or DC and AB.  The only one that matches this is the last one

8 0
3 years ago
Find the percent of change round to the nearest percent original 32.5 new:30
tatuchka [14]
Percent change = ((new value) - (old value))/(old value) × 100%
  = (30 - 32.5)/32.5 × 100%
  ≈ -8%
6 0
3 years ago
What should 2.33 be multiplied by to make a whole number
Marta_Voda [28]

Answer:

*100

Step-by-step explanation:

if you multiply by 100 then it would be 233, idk if this is right

3 0
3 years ago
Read 2 more answers
51,52,53,54 plzzzz answers ASAP​
storchak [24]

51)

b = 12

c = 5

d = 23

e = 90

f = 67

g = 13

52)

SAS: need BA = AD

AAS: need <B = <D

53)

ASA: need <A = <C

SAS: need DA = BC

54)

We are given that AB = DC (S) and AC =DB (S). We can say that BC = BC (S) by  reflexive property. We can say that ΔABC ≅ ΔDCB by SSS congruence Theorem.

Hope this helps! ;)

6 0
3 years ago
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