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Homework Help: Math
Posted by Anonymous on Wednesday, November 11, 2015 at 7:08pm.
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
6.When adding sqaureroot 25 and -9 which type of number is the sum?
Whole number
Irrational Number
Integer***
Radical
7.What is square root 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
9. Sylvia made a poster shaped like the triangle shown below.
The hypotenuse is 26in. one like 24 in. and the bottom leg is blank.
What is the length of the third side of the triangle?
10 in****
12 in.
14 in.
16 in.
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
How many times has this same set of questions been posted now, I keep seeing it
btw, all answers are finally correct
To find the answer to each question, follow these steps:
3. If a number is not a rational number, then it is ____.
The correct answer is an irrational number.
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?
To find the length of the diagonal walkway, you can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the length and width of the garden form the two sides of the right triangle. Therefore, you can calculate the length of the diagonal walkway using the formula sqrt(length^2 + width^2). Plugging in the values, you get sqrt(15^2 + 8^2) = sqrt(225 + 64) = sqrt(289) = 17 meters (approximately).
5. Which number is a perfect cube?
The correct answer is 125.
6. When adding sqaureroot 25 and -9 which type of number is the sum?
The correct answer is an integer.
7. What is square root 81/100?
To find the square root of a fraction, you can take the square root of the numerator and the square root of the denominator separately. In this case, the square root of 81/100 is equal to the square root of 81 divided by the square root of 100. Since the square root of 81 is 9 and the square root of 100 is 10, the answer is 9/10.
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?
To determine which piece of cardboard to cut, you need to find the piece that is the closest in size to the square root of 35. Comparing the sizes, you can see that the square root of 35 is closest to the square root of 36 (which is 6 inches). Therefore, Chuck should cut the 6-inch piece of cardboard to create the least amount of unused cardboard.
9. What is the length of the third side of the triangle shown below?
To find the length of the third side of the triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that the square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 26 inches and one leg is 24 inches. So you can find the length of the third side by using the formula sqrt(hypotenuse^2 - leg^2). Plugging in the values, you get sqrt(26^2 - 24^2) = sqrt(676 - 576) = sqrt(100) = 10 inches.
10. Four students work to find an estimate for square root 37. Who is closest to finding the true estimate?
To estimate the square root of 37, the closest estimate would be between square root 36 and square root 49. Therefore, Riley is closest to finding the true estimate.
11. Which of these nonterminating decimals can be converted into a rational number?
A rational number is a number that can be expressed as a fraction, where the numerator and denominator are both integers. In this case, the nonterminating decimal that can be converted to a rational number is 0.123123123... since it repeats the same pattern of digits.
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?
To find the length of one side of the tile, you need to take the square root of the area. So the length of one side is approximately sqrt(97) = 9 inches.