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3 years ago

The temperature outside dropped 13 F in in 7 hours. The final temperature was -2 F. What was the starting temperature?

Mathematics

1 answer:

butalik [34]3 years ago

8 0

the final temperature was -2 F, and that reflects a drop of 13 units, so

-2------0------------------------------------------------------+11.

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Simplify cotø(tanø+cotø)

Sladkaya [172]

Answer:

$\large\boxed{\cot\theta(\tan\theta+\cot\theta)=1+\cot^2\theta=\dfrac{1}{\sin^2\theta}=\csc^2\theta}$

Step-by-step explanation:

$\text{Use}\\\\\text{distributive property:}\ a(b+c)=ab+ac\\\cot\alpha\tan\alpha=1.\\\\======================\\\\\cot\theta(\tan\theta+\cot\theta)=(\cot\theta)(\tan\theta)+(\cot\theta)(\cot\theta)\\\\=1+\cot^2\theta\\\\\text{If you want next transformation, then use:}\\\\\cot\alpha=\dfrac{\cos\alpha}{\sin\alpha}\\\\\sin^2\alpha+\cos^2\alpha=1\\\\=======================$

$=1+\left(\dfrac{\cos\theta}{\sin\theta}\right)^2=1+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta}{\sin^2\theta}+\dfrac{\cos^2\theta}{\sin^2\theta}=\dfrac{\sin^2\theta+\cos^2\theta}{\sin^2\theta}\\\\=\dfrac{1}{\sin^2\theta}\\\\\text{If you want next transformation, then use:}\\\\\csc\alpha=\dfrac{1}{\sin\alpha}\\\\=\left(\dfrac{1}{\sin\theta}\right)^2=(\csc\theta)^2=\csc^2\theta$

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MatroZZZ [7]

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GuDViN [60]

Answer:

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Step-by-step explanation:

first make an expression to represent the zoo and museum cost.

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Answer:

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Step-by-step explanation:

Remark

You can find y in two different ways.

One

You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or

Two

You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.

Solution

One

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y = 105 Answer

Two

x + 60 + 45 = 180 All triangles have 180 degrees. Solve for x.

x + 105 = 180 Subtract 105 from both sides

x = 180 - 105 Combine

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