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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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The value of x when f(x) = -4 is 3

<h3>How to solve the function?</h3>

The function is given as:

f(x) = -3x + 5

When f(x) = -4, we have:

-4 = -3x + 5

Subtract 5 from both sides

-3x = -9

Divide both sides by -3

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. A triangle has vertices on a coordinate grid at points J(-1, 5), K(4, 5), and L(4, -2). What is the length, in units, of ?
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Answer:

20.6

Step-by-step explanation:

Given data

J(-1, 5)

K(4, 5), and

L(4, -2)

Required

The perimeter of the traingle

Let us find the distance between the vertices

J(-1, 5) amd

K(4, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4+1)²+(5-5)²)

d=√5²

d= √25

d= 5

Let us find the distance between the vertices

K(4, 5), and

L(4, -2)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((4-4)²+(-2-5)²)

d=√-7²

d= √49

d= 7

Let us find the distance between the vertices

L(4, -2) and

J(-1, 5)

The expression for the distance between two coordinates is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-1-4)²+(5+2)²)

d=√-5²+7²

d= √25+49

d=  √74

d=8.6

Hence the total length of the triangle is

=5+7+8.6

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4 0
3 years ago
An environmental scientist estimated the number of drops of water in two different jugs. He estimated that the smaller jug conta
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Answer:

The difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug is <u>42,739,999.999999999.</u>

Step-by-step explanation:

Given:

An environmental scientist estimated the number of drops of water in two different jugs. He estimated that the smaller jug contains 8,060,000.000000001 drops of water and the larger jug contains 50,800,000 drops of water.

Now, to find the difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug.

The smaller jug contains drops of water = 8,060,000.000000001.

The larger jug contains drops of water = 50,800,000.

Now, to get the difference between the number of drops of water we subtract the number of drops of water in the smaller jug from the number of drops of water in the larger jug:

50,800,000-8,060,000.000000001

=42,739,999.999999999

Therefore, the difference between the number of drops of water in the larger jug and the number of drops of water in the smaller jug is 42,739,999.999999999.

8 0
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