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03.03.2020 •
Mathematics
Formula for circumference
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Ответ:
pi x diameter
Step-by-step explanation:
To calculate the circumference of a circle, simply multiply pi (3.14) by the diameter (straight line passing from side to side through the center of the circle)
For instance, if you knew the diameter of a circle was 6 inches. Simply multiply 6 inches by pi!
6 x pi = ?
? approximately equals 18.85 inches.
The circumference of the circle would be 18.85 inches!
If you only have the radius of the circle, simply multiply it by two to get your diameter. Remember, the radius is just half the length of the diameter.
Hope this helps! :)
Ответ:
Statement 1 : True
Statement 2: False
Statement 3: False
Statement 4:True
Statement 5:False
Statement 6:True
Step-by-step explanation:
Given :![2y = x + 10](/tpl/images/0338/8962/dc4ad.png)
To Find: Which statements about the system are true?
Solution:
Slope intercept form:![y =mx+c](/tpl/images/0338/8962/a4a1e.png)
where m is the slope
Convert the given equations in slope intercept form
Equation 1:![2y = x + 10](/tpl/images/0338/8962/dc4ad.png)
On comparing with general form
Slope = m =![\frac{1}{2}](/tpl/images/0338/8962/9cdae.png)
Equation 2:![3y = 3x + 15](/tpl/images/0338/8962/d7fa6.png)
On comparing with general form
Slope = m = 1
Substitute the value of x form B in A
Substitute the value of y in B to get value of x
Thus the solution is (0,5)
Thus The system has one solution.
So, Statement 1 is true
Since the slopes of the given lines are not same so the lines are not parallel
Thus the statement 2 is false.
Slope of line 1 is
and slope of line 2 is 1
Since the slopes are not same
So, statement 3 is false.
Equation 1:![2y = x + 10](/tpl/images/0338/8962/dc4ad.png)
To find y intercept substitute x =0
Equation 2:![3y = 3x + 15](/tpl/images/0338/8962/d7fa6.png)
To find y intercept substitute x =0
So,statement 4 is true Both lines have the same y-intercept.
Statement 5: The equations graph the same line.
Statement 5 is false (refer the attached graph)
Statement 6 is true The solution is the intersection of the 2 lines (refer the attached graph)