The sphere has surface are of 900π m².
Step-by-step explanation:
Given,
Diameter = d = 30m
Radius = 
Surface area of sphere = 

The sphere has surface are of 900π m².
Keywords: Surface area, multiplication
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Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:



Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
First, figure out the slope of the line by solving for the slope between the two given coordinates.
Slope = y2 - y1 / x2 - x1
Substitute the coordinates.
Slope = 2 - (-4) / 2 - (-1)
Slope = 2 + 4 / 2 + 1
Slope = 6 / 3
Slope = 2
So, the slope of the equation here is 2.
Next, look for the y-intercept. You can find the y-intercept by looking on the graph. At what coordinate does the line intersect or cross the y-axis? By looking at the graph, you can see that the line intersects the y-axis at the coordinate point (0, -2). So, your y-interceot is -2.
Now, choose the equation that has a slope of 2 and a y-intercept of -2.
Remember that the standard form of any given linear equation should be in slope-intercept form.
y = mx + b
Substitute the slope and y-intercept
y = 2x - 2
By doing this, you can eliminate choices 1 and 4 because the equation should have 2x to represent the slope of 2.
The best choice is 2x - y = 2.
You have a slope of 2x and if the equation is put in standard form you would have a y-intercept of -2.
Solution: 2x - y = 2
Answer:
4m, 4m, and 5 m
Step-by-step explanation:
From the information give;
- Two sides of a triangle are equal in length
- The third side is 3 m less than the common length
- Perimeter of the rectangle is 13 m
We are required to determine the dimensions of the triangle;
- Assuming the common sides are x m each
- Then, the third side will be (2x-3) m
- Perimeter of a triangle is equal to the sum of the lengths of the three sides
Therefore;
(2x-3) + x + x = 13 m
4x - 3 = 13m
4x = 16 m
x = 4 m
and, 2x-3 = 5 m
Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m
Answer:
-25 is the integer
Step-by-step explanation: