Hich expression is rational? a. 4.121221222… b.square root of 36 c. square root of 21 d.1.192744502…
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Answer: The correct option is (B) square root of 36.
Step-by-step explanation: We are given to select the correct number that is irrational.
RATIONAL NUMBER: The digits after the decimal are either terminating or repeating.
IRRATIONAL NUMBER: The digits after the decimal are non-repeating and non-terminating.
Option (A) is 4.121221222 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Option (B) is square root of 36, which is equal to 6.
6 = 6.00.
Here, the digits after the decimal are terminating. So, the given number is rational.
Option (C) is square root of 21.
We know √21 = 4.5825756 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Option (D) is 1.192744502 . . .
Here, the digits after the decimal are non-repeating and non-terminating. So, the given number is irrational.
Thus, the rational number is square root of 36.
Option (b) is correct.
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Answer: $7.50
Step-by-step explanation:
true or false?
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Prove: x = 7
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Answer:
Easy
Step-by-step explanation:
-19-9=-28
-28/-4=7
thus x=7
Final answer:
In solving the equation 9 - 4x = -19, we find that x = 7 is indeed the correct solution.
Explanation:
The given equation is 9 - 4x = -19. We are to solve this equation for x, and see if it equals 7, as stated in the question. Start by subtracting 9 from both sides, resulting in: -4x = -28. Next, divide both sides by -4 to solve for x, resulting in x = 7. So, indeed, for the given equation, x = 7 is the correct solution.
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Answer:
Your answer is: No, it is not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to determine if a triangle is a right triangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's label the sides of the triangle:
Side A = 72 miles
Side B = 85 miles
Side C = 36 miles
To check if it's a right triangle, we can compare the lengths of the sides using the Pythagorean theorem:
1. Calculate the squares of the lengths of Side A and Side B:
- A^2 = 72^2 = 5184
- B^2 = 85^2 = 7225
2. Calculate the square of the length of Side C:
- C^2 = 36^2 = 1296
3. Check if the sum of the squares of the two shorter sides (A^2 + B^2) is equal to the square of the longest side (C^2):
- A^2 + B^2 = 5184 + 7225 = 12409
- C^2 = 1296
Since A^2 + B^2 is not equal to C^2 (12409 ≠ 1296), we can conclude that the given triangle is not a right triangle.