Fill in the ◯ with < , > , or = to make a true statement. −4.5◯−4.49

Group of answer choices

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Step-by-step explanation:

-4.49 is greater than -4.5 because it is closer to a positive number.

Explanation:

Think of -4.5 as -4.50, then you would be able to see that -4.50 is further left compared to -4.49 and this makes -4.50 to be smaller than -4.49; therefore, -4.50 < -4.49

Keep in mind that these values are negative, so the more leftward you go, the larger the magnitude of the values will get. For example, -10 is even more to the left so it makes -10 even smaller compared to the other values mentioned. We would be able to say -10 < -4.5 and also -10 < -4.49

Side note: if the values were positive, then 4.50 > 4.49 because 50 > 49. The inequality sign flips when we change everything from positive to negative.

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).

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step-by-step explanation:

use that smart brain