Answer:
half a batch
Step-by-step explanation:
half of half a lb is 1/4 therefore you can make one batch
The value of y when x = 5 is 45
<h3><u>Solution:</u></h3>
Given that y varies directly with x. This can be written mathematically as:
y ∝ x
---- eqn 1
Where "k" is the constant of propotionality
Given y = 27 when x = 3. Substitute these values in eqn 1
<h3>k = 9</h3>
Substitute k = 9 in eqn 1
y = 9x ----- eqn 2
<u><em>To find: y = ? and x = 5</em></u>
Substitute x = 5 in eqn 2
Thus the value of y when x = 5 is 45
Without loss of generality, we can think of the 4 cm leg of the triangle as being the short leg. It is also the hypotenuse of the smallest of the similar triangles created by the altitude (x). If h represents the hypotenuse of the triangle, then similarity tells us the ratio of the "long" leg to the hypotenuse is the same for the smallest and largest triangles.
... x/4 = √(h²-4²)/h
Then the altitude (x) as a function of the hypotenuse (h) is ...
... x = (4/h)×√(h²-16)
