What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number. A. 28 B. 29 C. 30 D. 31

The answer is A.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

P.S (Take note):

Pythagoras Theorem can only applied in right angle triangle.

We can find the hypotenuse by using the Pythagoras theorem/theory. The Pythagoras theorem states that,

= + where, h = hypotenuse, p = perpendicular, b = base

=> = +

=> = 400 + 400

=> = 800

=> h =

=> h = 28.284.....

Therefore rounded to the nearest whole number, we get,

h = 28

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geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}