The circumference of the circle is 40π. Hope it help!
Explanation:
Perimeter of the park
= 337 m
= 33700 cm
Length of each fence panel
= 550 cm
Number of fence panel required
= Perimeter of the park/Length of each fence panel
= 33700 cm/550 cm
= 33700/550
= 3370/55
= 674/11
= 61 3/11
So, we will need 61 3/11 fence panels.
P.S. — 61 3/11 means 61 whole and 3/11. I have attached its picture, so that you understand.
Answer:
x=0
Step-by-step explanation:
Answer:
T
Step-by-step explanation:
Because the point (3,-5) is simply the point with coordinates (-3,-5) reflected on the y-axis.
The correct question is
Use the given information to find the exact value of the expression. sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
we know that
sin(α − β<span>) = </span>sin α cos β − cos α sin β
α lies in quadrant II
so
cos α is negative
sin α is positive
β lies in quadrant I
so
cos β is positive
sin β is positive
step 1
find sin β
cos β=15/17
sin² β+cos² β=1-----------> sin² β=1-cos² β----> sin² β=1-(15/17)²
sin² β=1-225/289-----> 64/289
sin β=8/17
step 2
find cos α
sin α = 21/29
cos² α + sin² α=1----> cos² α=1-sin² α---> cos² α=1-(21/29)²---> 1-441/841
cos² α=400/841------> cos α=-20/29 (remember cos α is negative)
step 3
find sin(α − β)
sin α = 21/29 cos α=-20/29
sin β=8/17 cos β=15/17
sin(α − β) = [21/29]*[15/17] − [-20/29*]*[8/17]
sin(α − β) = [315/493] − [-160/493]
sin(α − β) = 475/493
the answer is
sin(α − β) = 475/493
