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pantera1 [17]
3 years ago
13

Cos(-170°) = _____ -cos10° cos10° cos(-10°)

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

<em>The right answer for:</em>

<em>cos(-170°) = _____</em>

<em>is:</em>

<em>-cos10°</em>

<h2>Explanation:</h2>

The cosine function is an even function, which means that for every point (x,y) on the graph of y=cos(x) then the point (-x,y) also lies on the graph of the function. In other words, we can write:

cos(-170^{\circ})=cos(170^{\circ})

But:

170^{\circ}=180^{\circ}-10^{\circ}

So:

cos(170^{\circ})=cos(180^{\circ}-10^{\circ})

By property:

cos(a-b)=cosacosb+sinasinb \\ \\ a=180^{\circ} \\ \\ b=10^{\circ} \\ \\ cos(170^{\circ} )=cos(180^{\circ} -10^{\circ})=cos180^{\circ} cos10^{\circ} +sin180^{\circ} sin10^{\circ} \\ \\  cos(170^{\circ})=-cos(10^{\circ})+0 \\ \\ \boxed{cos(170^{\circ})=-cos(10^{\circ})}

<h2>Learn more:</h2>

Trigonometric functions: brainly.com/question/2680050

#LearnWithBrainly

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mihalych1998 [28]

First we need to simplify \frac{.036}{12} to 0.003.

We get 3000(1+0.003)^{72}

Now we simplify 1+0.0031+0.003 to 1.0031.003.

3000×1.003^{72}

Simplify {1.003}^{72}1.003 to 1.2407011.240701.

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Then we simplify to <u>3722.103387.</u>

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4 0
3 years ago
The instructions on a bottle of laundry detergent tell you to add two capfuls of detergent to each gallon of water. One capful o
Nikolay [14]

Answer:

A.<u>You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water</u>

<u>B. You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water</u>

Step-by-step explanation:

1. Let's review all the information provided to answer the question:

2 capfuls of detergent to 1 gallon of water

1 capful of detergent = 1 tablespoon

2. If your washing machine holds 11 gallons of water, how many tablespoons of detergent will you need to add? How many fluid ounces of detergent?

For finding the amount of capfuls for 11 gallons of water, we multiply this way:

11 * 2 = 22 capfuls of detergent

Now, we can calculate the number of tablespoons, this way:

22 capfuls = 22 tablespoons

<u>You will need to add 22 tablespoons of detergent to a washing machine that holds 11 gallons of water</u>

Fiinally, let's calculate the amount of fluid ounces of detergent, this way:

1 tablespoon = 0.5 fluid ounces

22 tablespoons * 0.5 = 11 fluid ounces

<u>You will need to add 11 fluid ounces of detergent to a washing machine that holds 11 gallons of water</u>

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3 years ago
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2 years ago
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Evgesh-ka [11]

Answer:

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2 years ago
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OleMash [197]

Answer:

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Step-by-step explanation:

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3 years ago
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