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3 years ago

Find x. round our answer to the nearest tenth of a degree.

Mathematics

2 answers:

kipiarov [429]3 years ago

7 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 6

With m∠x as the reference angle,

the adjacent side of the right angle triangle is the unknown side.

the opposite side of the right angle triangle is 4

To determine m∠x, we would apply

the sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin x = 4/6 = 0.67

x = Sin^-1(0.67)

x = 42.1° to the nearest tenth.

vovangra [49]3 years ago

4 0

Answer: 41.8103 degrees

Step-by-step explanation:

you gotta use trig for this so my final calculation said sin-1(4/6)

idk if i really wanna explain it cus it looks like u in a test rn

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3 years ago

The equation y=9. 5x 0. 4 represents the line of best fit for the distance (in feet) that Marcella traveled over time (in second

Bas_tet [7]

The average speed of Marcella in feet per seconds is 9.5 feet per second.

<h3>How are time taken for travel, distance traveled, and the average speed are related?</h3>

We have this below shown relation between them

$\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }$

For the given case, we have:

The equation $y=9.5x + 0.4$ represents the line of best fit for the distance (in feet) that Marcella traveled over time (in seconds)

The line of best fit can be taken as approximately telling about the data points ( y = distance traveled in feet, and x = time spent )

Let the initial time be 'x' with initial distance traveled 'y', then the time after one second will be (x+1), and the distance traveled be $y_1$

The value of y and $y_1$ are calculated as:

$y = 9.5x + 0.4\\y_1 = 9.5(x+1) + 0.4 = 9.5x + 9.9$

Thus, the average speed is calculated at time 'x' as:

$\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Average speed} = \dfrac{y_1 - y}{x + 1 - x} = \dfrac{9.5x + 9.9 - 9.5x - 0.4}{1} = 9.5 \: \rm feet/sec$

We could've also used the fact that in the relation of y to x as $y = mx + c$ , 'm' denotes the rate of y as x changes.

Thus, the average speed of Marcella in feet per seconds is 9.5 feet per second.

Learn more about average rate here:

brainly.com/question/12322912

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2 years ago

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prohojiy [21]

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3 years ago

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