Da1×1=√(34,35-32,23)²+(8,1-8,45)²+(14720-1990)²=5270

Let's break down this equation:

You provided:

\[
1 \times 1 = \sqrt{(34.35 - 32.23)^2 + (8.1 - 8.45)^2 + (14720 - 1990)^2}
\]

### Step-by-step solution:

1. **Calculate each difference:**

   \[
   (34.35 - 32.23) = 2.12
   \]
   \[
   (8.1 - 8.45) = -0.35
   \]
   \[
   (14720 - 1990) = 12730
   \]

2. **Square the differences:**

   \[
   (2.12)^2 = 4.4944
   \]
   \[
   (-0.35)^2 = 0.1225
   \]
   \[
   (12730)^2 = 162,052,900
   \]

3. **Sum the squared differences:**

   \[
   4.4944 + 0.1225 + 162,052,900 = 162,053,004.6169
   \]

4. **Take the square root:**

   \[
   \sqrt{162,053,004.6169} \approx 12,727.65
   \]

### Final result:

\[
1 \times 1 = 12,727.65
\]

However, the result is not 5270 as you indicated, but rather **12,727.65**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What does this equation represent in geometry or physics?
2. Would you like to understand the square root process in more detail?
3. How is this equation used in distance or vector calculations?
4. What happens if we change the values in the equation?
5. Why did you expect the result to be 5270?

**Tip:** Double-checking your calculations step-by-step is crucial to avoid errors, especially when dealing with square roots and large numbers.

Learn how to calculate the distance between two points in 3D space using the distance formula. This problem covers key concepts like the Pythagorean theorem and square roots. Ideal for students in Grades 9-12. The detailed step-by-step solution provides insight into solving complex distance problems.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation