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Tcecarenko [31]

3 years ago

13

Which relationship describes angles 1 and 2?

1 answer:

umka2103 [35]3 years ago

8 0

Answer:

Vertical Angles

Step-by-step explanation:

A set of vertical angles is describe in Oxford dictionary as: each of the pairs of opposite angles made by two intersecting lines. As we can see here, angle 1 and 2 are on opposite sides of each other, while still residing on the same two intersecting lines.

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Answer:

1867

Step-by-step explanation:

What do you need it for?

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BOI I NEED HALP SO MUCH: What is 2308942930/23049930 as a common fraction simplified

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The earth orbits the sun, similar to how the moon orbits the earth. Is the earth the only planet to orbit the sun?

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How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9

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Step-by-step explanation:

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A camera is mounted at a point 4000 feet away from a geyser. If the water is rising vertically at 900 ft/s when it is 3000 feet

Leno4ka [110]

Answer:

$\dot \theta = 0.144\,\frac{rad}{s}$ , $\dot \theta = 8.251\,\frac{deg}{s}$ (Option B)

Step-by-step explanation:

The trigonometric diagram is included herein as attachment. The expression is presented below:

$\tan \theta = \frac{y}{x}$

Where:

$x$ - Horizontal distance between the geyser and the camera.

$y$ - Vertical distance between the geyser and the camera.

The rate of change in terms of time is:

$\dot \theta \cdot \sec^{2}\theta = \frac{\dot y\cdot x-y\cdot \dot x}{x^{2}}$

$\dot \theta \cdot \left(\frac{1}{\cos^{2}\theta} \right) = \frac{\dot y \cdot x - y\cdot \dot x}{x^{2}}$

$\dot \theta = \left(\frac{\dot y \cdot x - y \cdot \dot x}{x^{2}} \right)\cdot \cos^{2}\theta$

$\dot \theta = \left(\frac{\dot y \cdot x - y\cdot \dot x}{x^{2}} \right)\cdot \left(\frac{x^{2}}{x^{2}+y^{2}} \right)$

$\dot \theta = \frac{\dot y \cdot x - y\cdot \dot x}{x^{2}+y^{2}}$

Finally,

$\dot \theta = \frac{\left(900\,\frac{ft}{s} \right)\cdot (4000\,ft)-(3000\,ft)\cdot \left(0\,\frac{ft}{s} \right)}{(4000\,ft)^{2}+(3000\,ft)^{2}}$

$\dot \theta = 0.144\,\frac{rad}{s}$

$\dot \theta = 8.251\,\frac{deg}{s}$

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3 years ago