A) √52 - This number is between 7 and 8 on the number line.
B) √38 - This number is between 6 and 7 on the number line.
C) √59 - This number is between 7 and 8 on the number line.
D) √91 - This number is between 9 and 10 on the number line.
Match the point on the number line best associated with each irrational number: (4 points)
√52 √38 √59 √91
A
B
C
D
E
7 answers
could you be more specific
A) √52 - This number is approximately 7.21, so it would be closer to 7 on the number line.
B) √38 - This number is approximately 6.16, so it would be closer to 6 on the number line.
C) √59 - This number is approximately 7.68, so it would be closer to 8 on the number line.
D) √91 - This number is approximately 9.54, so it would be closer to 10 on the number line.
B) √38 - This number is approximately 6.16, so it would be closer to 6 on the number line.
C) √59 - This number is approximately 7.68, so it would be closer to 8 on the number line.
D) √91 - This number is approximately 9.54, so it would be closer to 10 on the number line.
A square garden has an area of 205 square feet.(2 points)
1) What is the approximate length of each side of the garden?
14
103
51
2) What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?
57
412
205
114
1) What is the approximate length of each side of the garden?
14
103
51
2) What is the approximate perimeter of the garden to find out how much fencing you would need to go around it?
57
412
205
114
1) To find the length of each side of the garden, we need to take the square root of the area.
Approximate length of each side = √205 ≈ 14.32
Therefore, the approximate length of each side of the garden is 14.
2) The perimeter of the garden is the sum of the lengths of all four sides. Since all sides of a square garden are equal, we can multiply the length of one side by 4 to find the perimeter.
Approximate perimeter = 14 * 4 = 56
Therefore, the approximate perimeter of the garden is 56.
Approximate length of each side = √205 ≈ 14.32
Therefore, the approximate length of each side of the garden is 14.
2) The perimeter of the garden is the sum of the lengths of all four sides. Since all sides of a square garden are equal, we can multiply the length of one side by 4 to find the perimeter.
Approximate perimeter = 14 * 4 = 56
Therefore, the approximate perimeter of the garden is 56.
A student solved the following equation using the following steps:
4 (2 − 3x) = x − 2(2x+1)
8 − 3x = x − 4x − 2
8 − 3x = −3x − 2
Answer: No Solution (2 points)
Based on the student’s work, the equation was solved
correctly
incorrectly
The equation solved correctly would show that it has
no solution
one solution
infinitely many solutions
two solutions
4 (2 − 3x) = x − 2(2x+1)
8 − 3x = x − 4x − 2
8 − 3x = −3x − 2
Answer: No Solution (2 points)
Based on the student’s work, the equation was solved
correctly
incorrectly
The equation solved correctly would show that it has
no solution
one solution
infinitely many solutions
two solutions
Based on the student's work, the equation was solved incorrectly.
If the equation was solved correctly, it would show that it has no solution.
If the equation was solved correctly, it would show that it has no solution.
1 answer