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Morgarella [4.7K]
3 years ago
11

A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

a^2+b^2=c^2

Thus plugging in 3 for a and 4 for b:

c^2 = 25

c=5

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
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The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

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By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

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