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Kryger [21]
4 years ago
8

Town B is 6 miles due north of town A, and town C is due east of town A. It is 11 miles from town B to town C. Find the distance

from town A to towAn C.

Mathematics
2 answers:
Alex777 [14]4 years ago
8 0
<h3>Answer: Approximately 9.219544 miles</h3>

=====================================================

Explanation:

See the diagram below

We have a right triangle with legs of 6 and x. The hypotenuse is 11. Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+6^2 = 11^2

x^2 + 36 = 121

x^2 = 121-36

x^2 = 85

x = sqrt(85) is the exact distance

x = 9.219544 is the approximate distance

units are in miles

nadya68 [22]4 years ago
4 0

Answer:

12.53 miles

Step-by-step explanation:

6² + 11² = x²

36 + 121 = x²

157 = x²

x = 12.53 miles

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Point H(x,y) moves 12 units left and 4 units up. What is a rule that describes this translation?
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The x values decrease by 12 and the y increase by 4.

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5 0
3 years ago
A car starts with a dull tank of gas. After driving around 5he city, 1/7 of the gas has been used. With the rest of the gas in t
Sati [7]

Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

A car starts with a dull tank of gas

1/7 of the gas has been used around the city.

With the rest of the gas in the car, the car can travel to and from Ottawa three times.

Question asked:

What fractions of a tank of gas does each complete trip to Ottawa use?

Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

                                                                         =    \frac{7 - 1}{7}  = \frac{6}{7}

According to question:

As from the rest of the gas in the car that is \frac{6}{7}, the car can complete 3 trip to Ottawa  which means,

By unitary method:

The car can complete 3 trip by using = \frac{6}{7} tank of gas.

The car can complete 1 trip by using =  \frac{6}{7} \div 3

                                                             =\frac{6}{7} \times\frac{1}{3}

                                                             =  \frac{6}{21}

                                                             = \frac{2}{7} tank of gas

Thus, \frac{2}{7} tank of gas used for each complete trip to Ottawa.

5 0
4 years ago
Find the side length of a cube with a volume of 166 m
marin [14]
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Cube
Volume = length x width x height

Since the length, width and the height are the same in cube, the formula can be:

Volume = length^3


Let x metres be the side length of the cube.

166 = x^3

x = ∛166

x = 5.495864.....

x = 5.5 (nearest tenth)
8 0
3 years ago
The length of a rectangle is 6 cm
Tasya [4]

Answer:

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Step-by-step explanation:

7 0
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