Question
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
The tiles in a store are being compared. The diagonal of one tile is 92–√
centimeters, and the other tile is 82–√
centimeters. What is the difference in the length of the diagonals?(1 point)
this one is hard and i need help
5 of 55 of 5 Items
Question
The tiles in a store are being compared. The diagonal of one tile is 92–√
centimeters, and the other tile is 82–√
centimeters. What is the difference in the length of the diagonals?(1 point)
this one is hard and i need help
Answers
GPT-4o mini
To find the difference in the lengths of the diagonals of the two tiles, simply subtract the smaller diagonal from the larger diagonal.
The diagonals are:
- First tile: \( \sqrt{92} \) cm
- Second tile: \( \sqrt{82} \) cm
The difference can be calculated as follows:
\[
\sqrt{92} - \sqrt{82}
\]
To compute this value, you can first find a numerical approximation of each square root:
- \( \sqrt{92} \approx 9.591 \)
- \( \sqrt{82} \approx 9.055 \)
Now, subtract the two values:
\[
9.591 - 9.055 \approx 0.536
\]
Thus, the difference in the length of the diagonals is approximately 0.536 cm.
If you need the answer in its exact form, it remains \( \sqrt{92} - \sqrt{82} \) without further simplification unless you need a numerical approximation.
The diagonals are:
- First tile: \( \sqrt{92} \) cm
- Second tile: \( \sqrt{82} \) cm
The difference can be calculated as follows:
\[
\sqrt{92} - \sqrt{82}
\]
To compute this value, you can first find a numerical approximation of each square root:
- \( \sqrt{92} \approx 9.591 \)
- \( \sqrt{82} \approx 9.055 \)
Now, subtract the two values:
\[
9.591 - 9.055 \approx 0.536
\]
Thus, the difference in the length of the diagonals is approximately 0.536 cm.
If you need the answer in its exact form, it remains \( \sqrt{92} - \sqrt{82} \) without further simplification unless you need a numerical approximation.