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Natalija [7]
3 years ago
14

Pythagorean theorem in 3D

Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

d = 6.997 or 7

Step-by-step explanation:

Use Pythagorean Theorem to find the diagonal of the end of the prism

2^2 + 3^2 = C^2     Simplify

4 + 9 = C^2             Add

13 = C^2                  Take the square root of both sides

3.6 = C

Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.

3.6^2 + 6^2 = d^2     Simplify

12.96 + 36 = d^2       Add

48.96 = d^2               Take the square root of both sides

6.997 = d                   This can be rounded up to 7, if needed

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The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice tim
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Answer:

6 hours

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Let

x ----> the hours a soccer team practiced after the season started

y ----> the  total practice time for the year in hours

we know that

The y-intercept of a linear equation is the value of x when the value of y is equal to zero

In the context of this problem, the y-intercept is the  total practice time before the season began (the value of x is equal to zero)

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The y-intercept is the point (0,6)

therefore

the  total practice time before the season began is 6 hours

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3 years ago
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3 years ago
What is the solution to this equation?
Marat540 [252]

Simplifying

4x + 2(x + 6) = 36

Reorder the terms:

4x + 2(6 + x) = 36

4x + (6 * 2 + x * 2) = 36

4x + (12 + 2x) = 36

Reorder the terms:

12 + 4x + 2x = 36

Combine like terms: 4x + 2x = 6x

12 + 6x = 36

Solving

12 + 6x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0

0 + 6x = 36 + -12

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Simplifying

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5 0
3 years ago
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