3.
If a number is not a rational number, then it is _____. (1 point)
an integer
an irrational number
a whole number
a radical***
4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She plans to build a walkway through the garden from one corner to the next. What measure is closest to the length of the diagonal walkway?
8 Meters
11 Meters
17 Meters***
23 Meters
5.Which number is a perfect cube?
5
100
125
150
^^^really confused ://
6.When adding sqreroot 25 and -9 which type of number is the sum?
Whole number
Irrational Number
Integer***
Radical
7.What is sqaureroot 81/100?
81/100
-9/10
9/10***
8/10
8.Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of cardboard that he can cut from: 6 inches, 5 inches, 7 inches, and 3 inches. If the length of the cardboard he needs is √35 inches, which piece of cardboard should he cut to create the least amount of unused cardboard?
3 inches
5 inches***
6 inches
7 inches
10.
Four students work to find an estimate for square root 37. Who is closest to finding the true estimate? (1 point)
Rhonda: "Use square root 16 and square root 25 to estimate."****
Ricardo: "I use square root 25 and square root 36."
Riley: "It should be between square root 36 and square root 49."
Rhiannon: "Use square root 49 and square root 64 to estimate."
11.Which of these nonterminating decimals can be converted into a rational number? (1 point)
0.626226222...
0.020220222...
0.123123123...****
12.Sam is installing square ceramic tiles on his bathroom floor. The area of each tile is 97 square inches. To the nearest inch, what is the length of one side of the tile?
9 in
10 in****
29 in
49 in
4 years later this man Chris still ain’t get help
EXACTLY ni g lmao
What types of numbers are these (Natural, Whole, Integer, Rational, Irrational or Real)
1. 0.020220222
2. 4.4/1.1
3. �ã�ã169
4. -3.222
5. 1.3131313...
6. 5.2/.13
7. 5.1011011101110...
8. 6pi/5pi
9. 45pi/9
10. �ã-9
Thanks for the help
Exactly ^^
3. To determine the answer to this question, we need to understand the definition of a rational number. A rational number is any number that can be expressed as the quotient or fraction of two integers. Therefore, if a number is not a rational number, it must be something other than a quotient or fraction of two integers. Among the given options, the only choice that fits this criteria is "an irrational number." Therefore, the correct answer is "an irrational number."
4. To find the measure closest to the length of the diagonal walkway, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the length and width of the rectangular garden form the two sides of the right-angled triangle, and the diagonal walkway is the hypotenuse.
Using the given dimensions, we have a right-angled triangle with a length of 15 meters and a width of 8 meters. To find the length of the diagonal walkway, we need to determine the length of the hypotenuse.
Using the Pythagorean theorem, we can calculate it as follows:
Hypotenuse = sqrt(Length^2 + Width^2)
Hypotenuse = sqrt(15^2 + 8^2)
Hypotenuse = sqrt(225 + 64)
Hypotenuse = sqrt(289)
Hypotenuse ≈ 17 meters
Therefore, the measure closest to the length of the diagonal walkway is 17 meters.
5. To determine which number is a perfect cube, we need to find the cube root of each number and check if it is an integer. A perfect cube is a number that can be expressed as the cube of an integer.
Let's calculate the cube root of each given number:
Cube root of 5 ≈ 1.71 (not an integer)
Cube root of 100 ≈ 4.64 (not an integer)
Cube root of 125 = 5 (an integer)
Cube root of 150 ≈ 5.31 (not an integer)
Thus, the only number that is a perfect cube is 125.
6. Adding the square root of 25 and -9 results in an integer. To perform the addition, we simply need to add the numbers inside the square root.
Square root of 25 + (-9) = 5 + (-9) = -4
Thus, the sum is an integer.
7. To find the square root of 81/100, we need to find the square root of the numerator (81) and denominator (100) separately.
The square root of 81 is 9, and the square root of 100 is 10.
Therefore, the square root of 81/100 is equal to 9/10.
8. To determine the piece of cardboard that Chuck should cut to create the least amount of unused cardboard, we need to compare the length of the cardboard he needs (√35 inches) with the lengths of the available pieces of cardboard.
Let's calculate the length of the cardboard he needs (√35 inches):
√35 ≈ 5.92 inches
Now let's compare this value with the lengths of the available pieces of cardboard:
- 3 inches: Less than the needed length (5.92 inches).
- 5 inches: Closest to the needed length (5.92 inches).
- 6 inches: Greater than the needed length (5.92 inches).
- 7 inches: Greater than the needed length (5.92 inches).
Therefore, Chuck should cut the 5-inch piece of cardboard to create the least amount of unused cardboard.
10. To estimate the square root of 37, we can use the given options provided by the four students:
- Rhonda suggests using the square roots of 16 and 25 to estimate. The square root of 16 is 4, and the square root of 25 is 5. Therefore, their estimated range is between 4 and 5.
- Ricardo suggests using the square roots of 25 and 36 to estimate. The square root of 25 is 5, and the square root of 36 is 6. Therefore, their estimated range is between 5 and 6.
- Riley suggests that the square root of 37 should be between the square roots of 36 and 49. The square root of 36 is 6, and the square root of 49 is 7. Therefore, their estimated range is between 6 and 7.
- Rhiannon suggests using the square roots of 49 and 64 to estimate. The square root of 49 is 7, and the square root of 64 is 8. Therefore, their estimated range is between 7 and 8.
Comparing the estimated ranges, we can see that Rhonda's estimate of a range between 4 and 5 is the closest to the true estimate of the square root of 37.
11. To determine which nonterminating decimal can be converted into a rational number, we need to check for repeating patterns. A rational number is a number that can be expressed as a fraction of two integers.
Let's examine the given decimals:
- 0.626226222...: This decimal has a repeating pattern of "622," so it can be expressed as 0.622222... or 0.62.
- 0.020220222...: This decimal has a repeating pattern of "2022," so it can be expressed as 0.202222... or 0.2.
- 0.123123123...: This decimal has a repeating pattern of "123," so it can be expressed as 0.123123... or 0.123.
Among the given options, the decimal 0.123123123... can be converted into a rational number.
12. To find the length of one side of the square ceramic tile, we divide the total area of the tile by the number of sides.
The area of each tile is given as 97 square inches. Since a square has four equal sides, dividing the total area by the number of sides will give us the area of one side.
Length of one side = sqrt(Area)
Length of one side = sqrt(97)
Length of one side ≈ 9.85 inches
Rounding to the nearest inch, the length of one side of the tile is approximately 10 inches.
#3 Nope. √9 is a radical, but is rational
#4 ok
#5 a perfect cube has three equal factor
125 = 5*5*5
#6 ok, if -9 was a typo for 9
#7 ok
#8 Nope.
5^2 = 25
6^2 = 36
which is closer to 35?
#10 Nope. The squares are 16,25,36,49
#11 ok
#12 ok