What is the common ratio in this sequence? 100, 25, 6.25, 1.5625

1/4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

25/100

1/4

The ratio is 1/4

1/4 or 0.25

Step-by-step explanation:

100, 25, 6.25, 1.5625

Common ratio (r) = 2nd term/ 1st term

= 3rd term/ 2nd term

From the question

1st term = 100, 2nd term = 25 , 3rd term = 6.25

Therefore,

r = 25/100 = 6.25/25

r = 1/4 = 1/4

r = 1/4 or 0.25

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something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).