Circumference of the smaller circle, using
, is approximately equal to 18.85 (I used the high floating point precision approximation of pi my calculator has in memory, then rounded to 2 decimal points.)
Using the formula
, which in English says "the smaller circle's circumference is equal to 20% of the larger circle's", we can substitute the known value S:
and solve for L:
.
So the larger circle has a circumference approximately equal to 92.5 units.
Answer:
32 miles
Step-by-step explanation:
12 . 8 = 96
96 : 3 = 32
\frac{12 . 8}{3} = 32 miles[/tex]
Answer:
x= -2-√11. or. x= -2 + √11
Step-by-step explanation:
solving quadratic equation by completing the square
x^2+4x-7=0
x^2+4x=7
x^2+4x + (4/2)^2=7 + (4/2)^2 ( adding (1/2 coefficient of x)^2 on both sides
x^2+4x + 4=7 + 4
x^2+4x + 4=11. factorize(x^2+4x + 4) into (x + 2)^2
(x + 2)^2=11
√(x + 2)^2= + - √11
x + 2 = + - √11
there are two different solution .
x + 2 = -√11. or x + 2 = + √11.
x= -2-√11. or. x= -2 + √11.
Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25