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RUDIKE [14]
3 years ago
13

Shelly compared the number of oak trees to the number of maple trees as a part of a study about hardwood trees in a woodlot. She

counted 9 maple trees to every 5 oak trees. Later in year there was a bug problem and many trees died. New trees were planted to make sure there was same number of trees as before the bug problem. The new ratio of the number of maple trees to the number of oak trees is 3:11. After planting new trees, there were 132 oak trees. How many more maple trees were in the woodlot before the bug problem than after the bug problem? Explain
Mathematics
1 answer:
9966 [12]3 years ago
6 0
There were 72 more maple trees before the bug problem then after because there was 108 maple trees before the bug problem and 36 maple trees after the bug problem
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Given that secant theta = Negative StartFraction 37 Over 12 EndFraction, what is the value of cotangent theta, for StartFraction
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cot\theta  =\frac{12}{35}

Step-by-step explanation:

sec\theta =\frac{37}{12}

⇔\frac{1}{cos \theta} =\frac{37}{12}

⇔cos \theta = \frac{12}{37}

we know that

sin \theta = \sqrt{1-cos^2\theta}

sin\theta =\sqrt{1-(\frac{12}{37})^2 }

sin\theta=\sqrt{\frac{1225}{1369} }

sin\theta = \frac{35}{37}

Therefore cot\theta =\frac{cos\theta}{sin\theta}  =\frac{\frac{12}{37} }{\frac{35}{37} }  =\frac{12}{35}  , for \frac{\pi}{2}

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In a city the distance between the libary and the police station is 3 miles less than than the distance between the police stati
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Answer:

8 miles

Step-by-step explanation:

Given

<em>Represent the police station with P, Library with L; Fire station with F</em>

<em>The first statement can be represented as:</em>

<em></em>L - P = P - F - 3

<em>The second can be represented as:</em>

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Required

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