What new topics did Isaac Newton discover?

1 answer:

5 0

Newton's 3 Laws of Motion are probably the most recognized.
His universal law Gravitation.
He paved the way for advances in Integral and Differential Calculus.

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Work this travel problem based on the data provided in the various tables in this section.

grigory [225]

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2 years ago

A food company originally sells cereal in boxes with dimensions 25 cm by 14 cm by 10 cm. To make more profit, the company decrea

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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 $cm^{3}$

As, Volume of the box = Length × Breadth × Height

i.e. 2208 = (25-x) × (14-x) × (10-x)

i.e. $2208 = (25-x) \times (140-24x-x^{2})$

i.e. $2208=x^{3}-x^{2}-740x+3500$

i.e. $x^{3}-x^{2}-740x+1292=0$

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.

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2 years ago

I NEED HELP PLS ANSWER

Yakvenalex [24]

Answer:

B. Inscribed equilateral triangle.

Step-by-step explanation:

An equilateral triangle is a type of triangle that has all sides to have the same length.

An inscribed figure or shape is one which has been constructed within the boundaries of another figure or shape.

In the given question, the markings is construction of an inscribed equilateral triangle. This procedure of the construction after completion, generate the triangle as shown in the construction attached to this answer.