Enrique earns 10 points for each question that he answers correctly on a geography test.
2 answers:
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Answer:
1.75 cm
Step-by-step explanation:
We are given that the dimensions of the box as 25 cm by 14 cm by 10 cm.
Now, to increase the profit, the dimensions of the box by 'x' cm.
Thus, the new dimensions are (25-x) cm by (14-x) cm by (10-x) cm.
Further, it is given that the volume of the new box is 2,208
As, Volume of the box = Length × Breadth × Height
i.e. 2208 = (25-x) × (14-x) × (10-x)
i.e.
i.e.
i.e.
On solving this cubic equations, we get that, the solutions are x = 27.6, x = 1.75 and x = 26.8.
Since, the dimensions 25 cm by 14 cm by 10 cm are reduced by x cm.
Thus, if x = 27.6 or x = 26.8, then (10-x) = -17.6 or -16.8, which cannot be possible. So, x = 1.75 cm.
Hence, the dimensions were decreased by 1.75 cm.
Answer:
Step-by-step explanation:
We are looking for a trigonometric function which contains the point (0, 3), and has an amplitude of 3.
We know that for a sine function ,
; therefore the function we a looking for cannot be a sine function because it is zero at
.
However, the cosine function gives non-zero value at
therefore, a cosine function can be our function.
Now, cosine function with amplitude has the form
this is because the cosine function is maximum at and therefore, has the property that
in other words it contains the point .
The function we are looking for contains the point ; therefore, its amplitude must be 3, or
we see that this function satisfies our conditions: has amplitude of 3, and it passes through the point (0, 3) because