The answer is No.
Because the 0 in x oval is pointing to BOTH 1 and 3 in y oval.
And that must not happen in order to relation be a function.
The following conditions must be satisfied for relation to be a function:
1. condition: EVERY element in first oval has to be connected to some element in second oval.
2. condition: Elements in first oval MUST NOT have more than one connection with elements in second oval.
1. If AB is tangent to the circle, then
We have
so AB is indeed tangent to the circle.
2. The unlabeled leg is another radius of the circle so it has length 8. Then if AB is tangent to the circle,
but we have
so that cannot be a right triangle and AB is not tangent to the circle.
Answer:
81.11 in decimal
81 1/9 in fraction
Step-by-step explanation:
Let the number be x
1.9 time a number is equal to 1.9x
1.7 plus 1.9 times a number is equal to 1.7 + 1.9x
Now given that
1.7 plus 1.9 times a number equals the sum of the number and 74.7
mathematically we have relation equation as
1.7 + 1.9x = x + 74.7
subtracting 1.7 from both side
1.7 + 1.9x - 1.7 = x + 74.7 - 1.7
=> 1.9x = x + 73
subtracting x from both side
1.9x - x = x + 73 - x
0.9x = 73
dividing both side by 0.9
0.9x/0.9 = 73/0.9
x = 81.11 or 81 1/9
Thus, the number is
81.11 in decimal
81 1/9 in fraction
Answer:
a) R(r) = kr⁴
b) R(r) = 1.5625 r⁴
c) R = 126.56 cm³/s when r = 3 cm
Step-by-step explanation:
Rate of flow of a gas through a cylindrical pipe = R
radius of the pipe = r
a) R ∝r⁴
R(r) = kr⁴ where k is the proportionality constant.
R(r) means R is a function of r.
b) R(r) = kr⁴
R = 400 cm³/s, r = 4 cm
400 = k × 4⁴
k = 400/4⁴ = 400/256 = 1.5625 (cm.s)⁻¹
R(r) = 1.5625 r⁴
c) R(r) = 1.5625 r⁴
R = ?
r = 3 cm
R = 1.5625 × 3⁴ = 126.5625 cm³/s = 126.56 cm³/s
