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masha68 [24]
3 years ago
15

In an A.P,the sum of first ten terms is -150 and the sum of next 10 terms is -550.Find the A.P

Mathematics
1 answer:
bija089 [108]3 years ago
4 0
S10 = -150;
<span> the sum of next 10 terms = S20 - S10 => -550 = S20  + 150 => S20 = -700;
</span>S10 = -150 => 2a1 + 9r = -30;
 S20 = -700 => 2a1 + 19r = -70;
Then 10r = -40 => r = -4 , and, 2a1 -36 = -30 => 2a1 = 6 => a1 = 3;
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vlada-n [284]

The Length of FD = 26 cm

According to the given information

FE = FC = 12cm

As FE, FC both are radius of circle

The tangent segments to a circle from a external point are equal

Hence

CD = ED

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27/9

x = 3

CD = 13x - 16

     = 13 × 3 - 16

     = 23 cm

ED = 4x + 11

     = 4 × 3 + 11

     = 23 cm

In Triangle FED

FE is perpendicular to ED

According to Pythagoras Theorem

FD^{2}= FE^{2}+ED^{2}

       = 12^{2}+ 23^{2}

       = 673

FD = 26 cm approx.

The Length of FD = 26 cm

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<h3>What is a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.

The geometric term(s) modeled by each object

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10. Tip of pin ⇒ Point

11. Strings of a violin ⇒ Line

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