Mathematics Middle School

Compare square root of one hundred sixty and one hundred fifteen ninths using <, >, or =.

square root of one hundred sixty is greater than one hundred fifteen ninths
square root of one hundred sixty is equal to one hundred fifteen ninths
one hundred fifteen ninths is greater than square root of one hundred sixty
one hundred fifteen ninths is less than square root of one hundred sixty

Answers

Answer 1

The comparison of the numbers are √160 > √115.9. Hence, the correct option is A.

How to compare the numbers?

The numbers are given as

square root of one hundred sixty and one hundred fifteen ninths

Rewrite properly as

√160 and √115.9

By comparing the radical of both numbers, we have

160 and 115.9

160 is greater than 115.9

Hence, the comparison of the numbers are √160 > √115.9

Related Questions

Surface Area
Part A
What is the area of each face of cube A?
Part B
How can you calculate the surface area of cube A? What is the surface area of cube A?
Part C
What is the area of each face of cube B?
Part D
How is the area of each face of cube B related to the area of each face of cube A?
Part E
What is the surface area of cube B?

Answers

Part A: The area of each face of cube A is equal since all faces of a cube are identical. Therefore, the area of each face of cube A is given by the formula A = s^2, where s is the length of any side of the cube.
Part B: To calculate the surface area of cube A, we need to find the area of all six faces and add them together. Since all faces of a cube are identical, we can use the formula A = s^2 to find the area of one face and then multiply it by 6 to get the total surface area. Therefore, the surface area of cube A is given by the formula SA = 6s^2.
Part C: The area of each face of cube B is also equal since all faces of a cube are identical. Therefore, the area of each face of cube B is given by the formula A = s^2, where s is the length of any side of the cube.
Part D: The area of each face of cube B is related to the area of each face of cube A because both cubes have the same shape and size. Therefore, the area of each face of cube B is equal to the area of each face of cube A.
Part E: The surface area of cube B can be calculated using the same formula as cube A, which is SA = 6s^2, where s is the length of any side of the cube. Since cube B has the same shape and size as cube A, the surface area of cube B is also equal to 6 times the area of one face, which is given by the formula A = s^2. Therefore, the surface area of cube B is also equal to SA = 6s^2.

Part A:
Each face of cube A has the same area since it's a cube. To find the area of each face, you can use the formula for the area of a square: side length squared.

Part B:
To calculate the surface area of cube A, you can multiply the area of one face by the number of faces. Since a cube has 6 faces, the surface area of cube A is 6 times the area of one face.

Part C:
Cube B is also a cube, so each face has the same area as the faces of cube A.

Part D:
The area of each face of cube B is equal to the area of each face of cube A since they are both cubes.

Part E:
The surface area of cube B is also 6 times the area of one face, just like cube A.

Let me know if you have any more questions!

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