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Mrrafil [7]
3 years ago
13

Write the expression as the sine, cosine, or tangent of an angle. cos 112° cos 45° + sin 112° sin 45°

Mathematics
2 answers:
bezimeni [28]3 years ago
7 0
The answer is cos 67°.
VARVARA [1.3K]3 years ago
6 0

Answer:

<h3>cos 112° cos 45° + sin 112° sin 45° = cos(67)°</h3>

Step-by-step explanation:

Given trigonometric expression

cos 112° cos 45° + sin 112° sin 45°

We know, the trigonometric identity

<em>cos (A-B) = cos A cos B + sin A sin B.</em>

On comparing cos 112° cos 45° + sin 112° sin 45° and cos A cos B + sin A sin B, we can see that A= 112° and B = 45°.

Plugging value A= 112° and B = 45° in cos (A-B), we get

cos ( 112- 45) = cos(67)°

<h3>Therefore, cos 112° cos 45° + sin 112° sin 45° = cos(67)°</h3>
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7 0
2 years ago
Mrs. Johnson put 22,250 miles
Viefleur [7K]

The change in quantities can be represented as percentage

<em>The percentage decrease in miles driven is 34.83%</em>

The given parameters are:

\mathbf{Initial = 22250}

\mathbf{Final = 14500}

The percentage decrease is calculated as:

\mathbf{\%Decrease = \frac{Final - Initial}{Initial} \times 100\%}

Substitute known values

\mathbf{\%Decrease = \frac{14500- 22250}{22250} \times 100\%}

\mathbf{\%Decrease = \frac{-7750}{22250} \times 100\%}

\mathbf{\%Decrease = \frac{-775000}{22250}  \%}

\mathbf{\%Decrease = -34.83 \%}

The negative sign implies that, the change represents a decrement.

Hence, the percentage decrease in miles driven is 34.83%

Read more about percentage change at:

brainly.com/question/14801224

7 0
2 years ago
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8 0
2 years ago
I'm stuck on another question 5 4/5 + (-3 2/7)
anyanavicka [17]

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5 0
3 years ago
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Answer:

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