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Dimas [21]
3 years ago
14

You start driving north for 6 miles, turn right, and drive east for another 19 miles. At the end of driving, what is your straig

ht line distance from your starting point? Round to the nearest tenth of a mile.
Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

\sqrt{397} = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

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Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay
erma4kov [3.2K]

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

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If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

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3 years ago
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uysha [10]

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Step-by-step explanation:

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3 years ago
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Can please someone help me? The question is in the picture. Thank you
maxonik [38]

Answer:

C. 9\pi

Step-by-step explanation:

We proceed to solve for x by the Pythagorean Theorem:

(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2} (1)

x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)

x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x  + 17

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(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0

(2\cdot x -8)\cdot (2\cdot x -2) = 0

There are two different solutions:

x_{1} = 4, x_{2} = 1

A solution of x is considered realistic when the length of every side of the triangle is a not negative number.

x_{1} = 4

UV = 2\cdot (4) - 4

UV = 4

WU = 4 - 1

WU = 3

WV = 4 + 1

WV = 5

x_{2} = 1

UV = 2\cdot (1) - 4

UV = -2

WU = 1 - 1

WU = 0

WV = 1 + 1

WV = 2

The only realistic set of solutions is for x = 4, and the radius of the circle is represented by the line segment WU: r = 3

And the area of the circle (A) is calculated from the following formula:

A = \pi\cdot r^{2}

A = \pi\cdot (9)

A = 9\pi

The correct answer is C.

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3 years ago
When we carry out a chi square test of Independence the alternate hypothesis states that the two relevant classification blank
seropon [69]

Answer: that's false

Step-by-step explanation:

degrees of freedom=(r-1)(c-1)

If I'm wrong I'm sorry  

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Under certain conditions, sound travels at approximately 1080 feet per second.
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As Mifc8 said, one can easily do 1.7*1080=1836 feet.
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