Answer:
r = 
r = 17.2 cm
Step-by-step explanation:
∵ The area of the circle A = πr²
∴ r² = A/π
∴ r = √(A/π)
∵ A = 54 cm²
∵ π = 22/7
∴ r = √(54/(22/7)) = √(54×7/22) = 17.2 cm
9514 1404 393
Answer:
- (c1, c2, c3) = (-2t, 4t, t) . . . . for any value of t
- NOT linearly independent
Step-by-step explanation:
We want ...
c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0
Substituting for the fn function values, we have ...
c1·x +c2·x² +c3·(2x -4x²) ≡ 0
This resolves to two equations:
x(c1 +2c3) = 0
x²(c2 -4c3) = 0
These have an infinite set of solutions:
c1 = -2c3
c2 = 4c3
Then for any parameter t, including the "trivial" t=0, ...
(c1, c2, c3) = (-2t, 4t, t)
__
f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)
Answer:
$1.25 per hot dog
Step-by-step explanation:
Since we have given that
A deli sells 2 hot dogs for $2.50
i.e.
Cost of 2 hot dogs = $2.50
And we need to find the constant of proportionality of dollars per hot dog, for which we'll use unitary method.
So,
Cost of 1 hot dog is given by
2.50/2=$1.25
So, Cost of per hot dog is $1.25.
Hope this helps :)
