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Kryger [21]
3 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]3 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]3 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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kompoz [17]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

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3 years ago
Please help me I need help
MariettaO [177]
The collect 19 boxes by the end of everyday.
8 0
3 years ago
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Hunter-Best [27]

Answer:

18

Step-by-step explanation:

5 0
3 years ago
A lawn is in the shape of a trapezoid with a height of 7070 feet and bases of 4040 feet and 160160 feet. how many full bags of f
Leni [432]
Area of the trapezium = 1/2 (40 + 160) x 70
Area of the trapezium = 7000 ft²

One bag of fertilizer = 4000 ft²

Number of bags of fertilizer needed  = 7000 ÷ 4000 = 1.75 bags.

Since only full bags of fertilizer can be bought, 2 bags of fertilizer are needed.

------------------------------------
Answer: 2 bags of fertilizer
------------------------------------

7 0
4 years ago
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