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2 years ago

The angles 3x+6 and 5x + 6 are supplements. What are the two angles

Mathematics

1 answer:

yarga [219]2 years ago

6 0

Answer:

x = 21

Step-by-step explanation:

Step 1: Make an expression

Since they are supplements, that means that they add up to 180 degrees.

3x + 6 + 5x + 6 = 180

Step 2: Combine like terms

3x + 6 + 5x + 6 = 180

(3x + 5x) + (6 + 6) = 180

8x + 12 = 180

Step 3: Subtract 12 from both sides

8x + 12 - 12 = 180 - 12

8x = 168

Step 4: Divide both sides by 8

8x / 8 = 168 / 8

x = 21

Answer: x = 21

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Step-by-step explanation:

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2 years ago

You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

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First, we calculate the vertical distance (y) using tangent ratio

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Differentiate both sides with respect to time (t)

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Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

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Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

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2 years ago

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Step-by-step explanation:

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2 years ago

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