Answer the following: (4 points)
You are given a square. If the area of the square is 81 in^2, you can find the length of one of the sides by ?.
You can find the perimeter of the square by ?.
You are given a cube. If the volume of the cube is 125 in^3, you can find the length of one of the sides by ?.
The difference between squaring and cubing a number is ?.
answer options: divide 81 by 2, taking the cube root of 8, divide 125 by 3, squaring has 2 factors of the base and cubing has 3 factors of the base, taking the square root of 125, taking the square root of 81 and then multiply by 4, multiply 2 and multiply by 3, taking the square root of 81,
and taking the cube root of 125.
- You can find the length of one of the sides of the square by taking the square root of 81 and then multiply by 4, so the answer is taking the square root of 81, and then multiply by 4.
- You can find the perimeter of the square by multiplying 4 by the length of one of the sides, so the answer is multiply 2 and multiply by 3.
- You can find the length of one of the sides of the cube by taking the cube root of 125, so the answer is taking the cube root of 125.
- The difference between squaring and cubing a number is squaring has 2 factors of the base and cubing has 3 factors of the base.
r u very very very very sure about your answers?
Sorry for the confusion in my previous response, here are the correct answers:
- You can find the length of one of the sides of the square by taking the square root of 81, so the answer is taking the square root of 81.
- You can find the perimeter of the square by multiplying the length of one of the sides by 4, so the answer is to take the square root of 81 and then multiply by 4.
- You can find the length of one of the sides of the cube by taking the cube root of 125, so the answer is taking the cube root of 125.
- The difference between squaring and cubing a number is squaring has 2 factors of the base and cubing has 3 factors of the base.
Which two perfect squares does rational 300 lie between?
A: 100 and 121
B: 300 and 400
C: 290 and 325
D: 289 and 324
To determine which two perfect squares the rational number 300 lies between, you can find the square roots of adjacent perfect squares. The square root of 289 is 17, and the square root of 324 is 18. So, 300 lies between 289 and 324.
Therefore, the correct answer is:
D: 289 and 324
This diagram is used to prove the Pythagorean Theorem. (1 point) Responses True; the area of the green square + the area of the purple square = the area of the red square True; the area of the green square + the area of the purple square = the area of the red square False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem False; the squares all have similar areas, so does not show the Pythagorean Theorem False; the squares all have similar areas, so does not show the Pythagorean Theorem True; the area of the red square + the area of the green square = the area of the purple square
True; the area of the green square + the area of the purple square = the area of the red square
This statement is true because the Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In the diagram, the large square (the red square) has an area equal to the sum of the areas of the two smaller squares (the green and purple squares), which represents the Pythagorean Theorem.