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a windowpane is 6 inches by 6 inches. what is the distance between opposite corners of the windowpane? if necessary, round to the nearest tenth.

The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:

With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.

Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²

Replacing with the real values:

Distance between opposite corners of the windowpane ² = 6² + 6²

Distance between opposite corners of the windowpane ² = 36 + 36

Distance between opposite corners of the windowpane ² = 72

√ Distance between opposite corners of the windowpane² = √72

Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)

1/5^2 = 7.56/45

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.