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KATRIN_1 [288]
3 years ago
5

(7x + 5)(2.13 – 412 + 9.1 – 3)

Mathematics
1 answer:
GREYUIT [131]3 years ago
4 0

Answer-14131.95

Step-by-step explanation:

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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre
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15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

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A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.
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The opposite angles of the cyclic quadrilateral are equal to 180 degrees which are supplementary angles.

<h3>What is a cyclic quadrilateral?</h3>

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