1.

If a number is not a rational number, then it is _____. (1 point)

an integer
an irrational number
a whole number
a radical

2.
A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of the picture frame? (1 point)

21
15
8
6

3.
Which number is a perfect cube? (1 point)

7
25
27
66

4.
When adding square root 9 and – 7, which type of number is the sum? (1 point)

irrational
whole number
radical
integer

5.
What is square root 36 over 49? (1 point)

18 over 25
20 over 27
6 over 7
8 over 9

6.
Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and 3 feet long. If the length of wood he needs to cut is square root 11 feet long, which piece of wood should he cut to have the least amount of unused wood? (1 point)

3 feet
4 feet
5 feet
6 feet

7.
If the sail of a ship is 10 feet long and has a diagonal length of 26 feet, what is the height of the sail, in feet? (1 point)

29
24
17
8

Can you check my answers please? Thanks.
1. irrational
2. 15
3. 25
4. whole number
5. 6/7
6. 4 feet
7.

3. 27

Yes. 3. is 27.

thx

#1 is right

1. irrational

..
4. √9 - 7
= 3-7
= -4 , which is an integer
If you meant √(9-7) = √2 which is irrational

5. According to the choices you must mean
√36/√49 = 6/7

7. x^2 + 10^2 = 26^
x^2 = 676-100
x^2 = 576
x = 24

Hey there! I have a similar test and the relatives of real numbers can be hard if you're having trouble with the concept however I know for fact that you are right for #1 because rational is basically decimals and or fractions that repeat and or end while irrational is simply decimals that go on and on and on and are infinite making it the opposite of rational.

noo

Let's go through the questions and check your answers:

1. If a number is not a rational number, then it is _____. The correct answer is "an irrational number." You got this one right.

2. A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of the picture frame? The correct answer is 15. To find the diagonal length of a rectangle, we can use the Pythagorean theorem: \(c^2 = a^2 + b^2\), where c is the diagonal length and a and b are the sides of the rectangle. Plugging in the given values, we have \(c^2 = 12^2 + 9^2 = 144 + 81 = 225\), so \(c = \sqrt{225} = 15\). You got this one right.

3. Which number is a perfect cube? The correct answer is 27. A perfect cube is a number that can be expressed as the cube of an integer. The cube root of 27 is 3, so 27 is a perfect cube. You got this one right.

4. When adding square root 9 and – 7, which type of number is the sum? The correct answer is "irrational." The square root of 9 is 3, which is a rational number. However, adding -7, which is also rational, to it results in an irrational number, since 3 + (-7) = -4. You got this one wrong.

5. What is square root 36 over 49? The correct answer is "6 over 7." To simplify this expression, we can take the square root of both the numerator and the denominator separately. The square root of 36 is 6, and the square root of 49 is 7. So, the simplified expression is 6/7. You got this one right.

6. Tomas needs to cut a piece of wood for a model airplane he is building. He has four pieces of wood: 5 feet, 4 feet, 6 feet, and 3 feet long. If the length of wood he needs to cut is square root 11 feet long, which piece of wood should he cut to have the least amount of unused wood? The correct answer is "4 feet." We need to find the difference between the length of each piece of wood and the square root of 11. The differences are as follows:
- For the 5-feet piece: \(|5 - \sqrt{11}|\) ≈ 1.76
- For the 4-feet piece: \(|4 - \sqrt{11}|\) ≈ 0.76
- For the 6-feet piece: \(|6 - \sqrt{11}|\) ≈ 1.23
- For the 3-feet piece: \(|3 - \sqrt{11}|\) ≈ 1.76

The 4-feet piece has the smallest difference, indicating that it would result in the least amount of unused wood. You got this one right.

7. If the sail of a ship is 10 feet long and has a diagonal length of 26 feet, what is the height of the sail, in feet? The correct answer is 24. We can again use the Pythagorean theorem to find the height of the sail. Let's call the height h. Then, we have \(c^2 = h^2 + 10^2\), with c being the diagonal length. Plugging in the given numbers, we have \(26^2 = h^2 + 100\), which simplifies to \(676 = h^2 + 100\). Solving for h, we get \(h^2 = 676 - 100 = 576\), so \(h = \sqrt{576} = 24\). You got this one right.

In summary, out of the 7 questions, you answered 6 correctly. Nice job!

1. I don't know.

2. Right.

3. Wrong.

4. I don't know.

5. I don't know.

6. Right.