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Lilit [14]
3 years ago
6

A ship travels due west for 60 miles. It then travels in a northwest direction for 85 miles and ends up 119 miles from its origi

nal position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Mathematics
1 answer:
Bumek [7]3 years ago
5 0
Given:
due west: 60 miles
northwest: 85 miles
original point to destination point: 119 miles

Let us use the Law of Cosines to find the angle.

119² = 60² + 85² - [(2*60*85)*cos(x)]
14,161 = 3600 + 7225 - (10,200 * cos(x))
14,161 = 10,825 - 10,200 cos(x)
14,161 - 10,825 = -10,200 cos(x)
3.336 = -10,200 cos(x)
3,336 / -10,200 = cos(x)
-0.3271 = cos(x)
-0.3271 / cos = x
cos^-1 (-0.3271) = x
109.09 = x

109.09° or 109.10° north of west.
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3 years ago
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GIVING A BRAINLIST PLZZ ASAP
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Answer:

(c) $3,93 more

(b) Mr. Sánchez's class earned more money.

(a) \displaystyle [42, 37] → [j, p]

Step-by-step explanation:

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{−86 121⁄136 = −1 29⁄136p - j >> New Equation

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\displaystyle \frac{-7\frac{121}{136}}{-\frac{29}{136}} = \frac{-\frac{29}{136}p}{-\frac{29}{136}}

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The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:

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Altogether, <em>thirty-seven</em> fruit pies cost $61,05.

<u>Kelly's</u><u> </u><u>class</u>

\displaystyle 57,12 = [42][1,36]

Altogether, <em>forty-two</em> bottles of fruit juice cost $57,12.

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6 0
3 years ago
-4(6x+3)= -12(x+ 10)
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Answer:

9

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<u><em>Let's do the first part:</em></u>

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3 0
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Answer:

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