1.
Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point)
Rosa: "Use square root 9 and square root 25 to estimate."
Roberto: "I will use square root 4 and square root 9."
Andrea: "It should be square root 11 and square root 12."
Inno: "Use square root 9 and square root 16 to find the estimate."
2.
Joy knits a square blanket that has an area of 1,500 square inches. What is the approximate length of each side of the blanket? (1 point)
16 inches
27 inches
39 inches
42 inches
3.
An example of an irrational number is _____. (1 point)
negative square root 17
square root 16
negative square root 9
square root 1
4.
Which statement is true? (1 point)
Every real number is an integer.
Every rational number is a real number.
Every rational number is a perfect square.
Every integer is an irrational number.
5.
Which two sqare roots are used to estimate square root 47? (1 point)
square root 25 and square root 36
square root 25 and square root 49
square root 36 and square root 49
square root 49 and square root 64
6.
An estimate for –negative square root 72 is _____. (1 point)
– 8.1
– 8.5
– 9.1
– 9.5
7.
Mason is an architect and is drawing the plans for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet? (1 point)
529
1,024
12,167
32,768
8.
The area of a circle is found with the formula A = pi r squared, where pi represents 3.14. If a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is the approximate radius of the circle in feet? (1 point)
10
13
14
17
my answers:
1. Inno
2. 39 inches
3. -√17
4. Every rational number is a real number
5. √36 and √49
6. -8.5
7. 12,167
8. 14
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All your answers are correct
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So, Shalee is correct?
Your chicken needs a home. Even in my roast.
1. To determine who proposed the best solution to estimate the square root of 10, we need to compare the proposed estimates and find the one closest to the actual square root of 10.
Rosa: "Use square root 9 and square root 25 to estimate." The square root of 9 is 3 and the square root of 25 is 5. This estimate would be 3 < √10 < 5.
Roberto: "I will use square root 4 and square root 9." The square root of 4 is 2 and the square root of 9 is 3. This estimate would be 2 < √10 < 3.
Andrea: "It should be square root 11 and square root 12." The square root of 11 is approximately 3.32 and the square root of 12 is approximately 3.46. This estimate would be 3.32 < √10 < 3.46.
Inno: "Use square root 9 and square root 16 to find the estimate." The square root of 9 is 3 and the square root of 16 is 4. This estimate would be 3 < √10 < 4.
Comparing the estimates, the best solution would be Inno's, as the estimate 3 is the closest to the actual square root of 10.
2. To find the approximate length of each side of the square blanket with an area of 1,500 square inches, we need to take the square root of the area.
√1500 is approximately 38.73.
Therefore, the approximate length of each side of the blanket is 39 inches.
3. An example of an irrational number is a number that cannot be expressed as a fraction and has an infinite number of non-repeating decimal places.
Out of the given options, the only example of an irrational number is negative square root 17.
4. To determine which statement is true, we need to evaluate each statement.
Every real number is not an integer since real numbers include both rational and irrational numbers.
Every rational number is a real number since rational numbers can be expressed as a fraction and are included in the set of real numbers.
Every rational number is not a perfect square since perfect squares are specifically integers whose square roots are integers.
Every integer is not an irrational number since irrational numbers cannot be expressed as fractions and have non-repeating decimal places.
Therefore, the statement "Every rational number is a real number" is true.
5. To estimate the square root of 47, we need to find the two closest perfect square roots.
The perfect squares closest to 47 are 36 and 49.
Therefore, the two square roots used to estimate the square root of 47 are square root 36 and square root 49.
6. To estimate the negative square root of 72, we need to find the closest estimate.
Since the square root of 72 is approximately 8.49, the negative square root of 72 would be approximately -8.49.
Rounding to the nearest tenth, the estimate for -negative square root 72 is -8.5.
7. The volume of a cube can be found by multiplying the length of one side by itself three times (l^3).
Given that the length is 23 feet, we can calculate the volume as 23^3, which equals 12,167 cubic feet.
Therefore, the volume of the cube is 12,167 cubic feet.
8. The formula for the area of a circle is A = πr^2 (where π represents 3.14).
Given that the area of the circle is 658 square feet, we can rearrange the formula to solve for the radius, r.
658 = 3.14 * r^2
Divide both sides by 3.14:
r^2 = 658 / 3.14
Simplify:
r^2 ≈ 209.23567
Take the square root of both sides:
r ≈ √209.23567
Approximately, r ≈ 14.
Therefore, the approximate radius of the circle is 14 feet.