To solve, we need to subtract from these two fractions. In order to do this, we will change one of them to have the same denominator as the other.
We have 5/14 and 1/7
Let us change 1/7
Multiply 2/2 (a form of 1 so it does not change the value of the fraction)
2/2 • 1/7 = 2/14
Now subtract from 5/14
5/14 - 2/14 = 3/14
ANSWER: Vicky ran 3/14 of a mile more
Answer:
1.2 cm
Step-by-step explanation:
The area of sircumscribed quadrilateral over a circle is equal to

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.
Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.
So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

Now,

Answer:
10
Step-by-step explanation:
with reference angle 30°
perpendicular (p) = 5
hypotenuse (h) = x
Now
sin 30° = p / h
1 / 2 = 5 / x
x = 10
Hope it will help :)
Answer:
x = 0
y = 5
z = -5.
Step-by-step explanation:
X-5y-z=-20
-2x-y-6z=25
-x-4y-z=-15
Add equation 1 and 3:
-9y - 2z = -35 .......... A
Multiply the first equation by 2:
2x - 10y - 2z = -40
Now add this to equation 2:
-11y -8z = -15.............B
Now multiply equation A by -4:
36y + 8x = 140.........C
Add equations B and C:
25y = 125
y = 5.
Substitute for y in equation A:
-9*5 - 2z = -35
2z = -45 + 35 = - 10
z = -5.
Now find x by substituting for y and z in the first equation:
x - 5(5) - (-5) = -20
x - 20 = -20
x = 0.
Answer:
Step-by-step explanation:
Variance is the sum of squares of all items x from mean. i.e
Variance = 
Being the sum of squares variance can never be negative irrespective of mean being negative.
Std deviation is the square root of variances. This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.
Hence option d is right.