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borishaifa [10]
3 years ago
14

a total eclipse solar eclipse in 2003 lasted 5 3/20 minutes in Wizard viewed from the southern hemisphere the next total eclipse

in 2005 lasted 3 2/3 minutes and was viewed from the Northern Hemisphere how much longer was the 2003 solar eclipse?​
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer: 1\dfrac{29}{60}\text{ minutes}

Step-by-step explanation:

Given: A total eclipse solar eclipse in 2003 lasted 5\dfrac{3}{20} minutes

=\dfrac{5(20)+3}{20}=\dfrac{103}{20}\text{ minutes}

& a total eclipse solar eclipse in 2005 lasted 3\dfrac{2}{3}minutes

=\dfrac{3(3)+2}{3}=\dfrac{11}{3}\text{ minutes}

Difference= \dfrac{103}{20}-\dfrac{11}{3}=\dfrac{103\times3-11\times20}{60}

=\dfrac{309-220}{60}\\\\=\dfrac{89}{60}\text{ minutes}\\\\=1\dfrac{29}{60}\text{ minutes}

So, 2003 solar eclipse was 1\dfrac{29}{60}\text{ minutes} longer than solar eclipse in 2005.

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Here we will show you how to calculate the following:

Calculate and show the solution for the x-intercept and y-intercept of 5x + 2y = 20.

Calculate the graph plot coordinates for 5x + 2y = 20

Solve 5x + 2y = 20 for x and also for y.

Calculate and show the solution for the slope of 5x + 2y = 20

Find x-intercept

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.

5x + 2y = 20

5x + 2(0) = 20

x1 = 4    y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

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Get Graph Plot Coordinates

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x1,y1) and (x2,y2).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 5x + 2y = 20 as follows:

(x1,y1) and (x2,y2)

(4,0) and (0,10)

Find slope

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 5x + 2y = 20

m = (y2 - y1)/(x2 - x1)

m = (10 - 0)/(0 - 4)

m = -2.5

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