Answer:
14 cows
46 turkeys
Step-by-step explanation:
If all the animals were turkeys, there would be 120 legs. There are 28 more than that. Replacing a turkey with a cow adds 2 legs, so there must be 14 such replacements.
There are 14 cows and 46 turkeys.
_____
Check
14×4 + 46×2 = 56 + 92 = 148 . . . . legs
14 + 46 = 60 . . . . . . heads
I believe that it would be <
The equation of a parabola is given. y=
Here the value of 'a' = 18 and it is positive, it means the parabola opens up.
For vertical parabola the focus point is (h , k+p)
Where (h,k) is the vertex and p = (p is the distance between vertex and focus)
First we find vertex (h,k)
h =
a = 18 and b = 4
So h= = =
Plug in -1/9 for x and find out k
k =
=
=
So vertex is (, )
P = , we know a= 18
So p = =
Focus is ( h, k +p)
h = k =
and p =
k + P = +
Take common denominator 72
k + p = + = =
Focus point is ( , )
The length of the shorter wire is 12 cm
Step-by-step explanation:
Let us assume that the 27 cm wire is cut into two pieces of length x cm and so the longer part would be x+3 cm.
Now we know that the total length of the wire is 27cm so
x+(x+3) = 27
2x+3 = 27
2x = 27-3
2x = 24
x = 12 cm
Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)