Which of these nonterminating decimals can be converted into a rational number
A 0.48907542 repeating
B 0.02020202 repeating
C 0.92589542 repeating
D 0.10203040 repeating *******
Paul is painting a square wall with an area of 115 square feet. To the nearest foot what is the length of the wall? hint: A= 5^2
A 11
B 29*******
C 42
D 58
If a number is not an irrational number, then it is
A) a whole number
B) a integer************
C) a rational number
The length of the hypotenuse of a right triangle is 26 cm. the length of one leg is 24 cm. Find the length of the other leg
A 2 cm
B 10 cm
C 35 cm *************
D 50 cm
1. all numbers with repeating decimals can be converted to a fraction or a rational number.
Since you indicate all of them as repeating ......
---- all of them
2.
√115 = 10.7 = appr 11
one of the choices is 11, you answer is wrong
3. All real numbers are either rational or irrational.
So if the number is NOT irrational, it must be ....
4. x^2 + 24^2 = 26^2
x^2 = 676 - 576
x^2 = 100
x = 10
looks like somebody has some major studying to do
anyone can you help? Are they right or not?
Mrs. Sue Plz I really do need help :-/
Thank you. You helped
To determine which nonterminating decimals can be converted into a rational number, we need to identify if these decimals are repeating or non-repeating.
Option A: 0.48907542 repeating - This decimal repeats, as indicated by "repeating". Therefore, it can be converted into a rational number.
Option B: 0.02020202 repeating - This decimal also repeats, as indicated by "repeating". Therefore, it can be converted into a rational number.
Option C: 0.92589542 repeating - This decimal repeats, as indicated by "repeating". Therefore, it can be converted into a rational number.
Option D: 0.10203040 repeating - This decimal repeats, as indicated by "repeating". Therefore, it can be converted into a rational number.
In summary, all of the given nonterminating decimals can be converted into rational numbers.
Now, let's move on to the next question about finding the length of a square wall.
To find the length of a square wall with an area of 115 square feet, we can use the formula for the area of a square, which is A = side^2, where A represents the area and side represents the length of one side of the square.
Applying this formula to the given problem, we have 115 = side^2. To find the length of the wall, we need to solve for side.
Taking the square root of both sides of the equation, we get √115 = side. By evaluating the square root of 115, we find that it is approximately 10.72.
To the nearest foot, the length of the wall is 11 feet. Therefore, option A with a length of 11 is the correct answer.
Moving on to the next question regarding irrational numbers.
If a number is not an irrational number, then it is either a whole number, an integer, or a rational number. In this case, we can eliminate options A and C because they are not broad enough to encompass all numbers that are not irrational.
Therefore, option B - a integer - is the correct answer since any number that is not irrational could be an integer.
Finally, let's solve the last question about the length of the other leg of a right triangle.
In a right triangle, the Pythagorean theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
We are given the length of the hypotenuse as 26 cm and the length of one leg as 24 cm.
Using the Pythagorean theorem, we can set up the equation as follows: 24^2 + x^2 = 26^2, where x represents the length of the other leg.
By simplifying the equation, we have 576 + x^2 = 676.
Next, we can isolate x^2 by subtracting 576 from both sides of the equation, resulting in x^2 = 100.
Taking the square root of both sides, we find that x = 10 cm.
Therefore, option B with a length of 10 cm is the correct answer.