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marysya [2.9K]
2 years ago
12

The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the

Mathematics
1 answer:
uranmaximum [27]2 years ago
6 0

Answer:

84°

Step-by-step explanation:

Let the measures of the triangle be 5x, 7x, 3x.

By interior angle sum postulate of a triangle.

5x + 7x + 3x = 180°

15x = 180°

x = 180°/15

x = 12°

7x = 7*12°= 84°

Measure of the largest angle = 84°

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Reil [10]

Answer:

42:36

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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

4 0
2 years ago
Burnwood Tech plans to issue some $50 par preferred stock with a 8% dividend. A similar stock is selling on the market for $65.
Vanyuwa [196]

Answer:

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Step-by-step explanation:

The formular used to calculate the cost of preferred stock is:

= Fixed dividend/Net proceeds

Fixed dividend= $50 × 8/100

= $50×0.08

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Net proceeds= Market price-Flotation costs

= $65-(6/100×$65)

= $65-(0.06×$65)

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= 4/61.1 ×100

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8 0
2 years ago
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Sloan [31]

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