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MatroZZZ [7]
1 year ago
13

Vivian approximated the value of the cube root of 1010 to be 10.0. William claimed that 10.1 is a closer approximation. Whose ap

proximation, Vivian’s or William’s, is closer to the cube root of 1010. Explain your reasoning.
Mathematics
1 answer:
Luda [366]1 year ago
6 0

ANSWER

10.0 ------- Vivian is correct

EXPLANATION

Firstly, find the cube root of 1010

\sqrt[3]{1010\text{ }}\text{ = 10.033}

In the above calculation, the cube root of 1010 is 10.003

The correct approximation of the above value is 10.0. This is because the hundredth value is not upto 5

Recall, figures from 1 - 4 are rounded to zero and figures from 5- 9 are rounded up to 1

since 3 is not upto 5, so it is rounded down to zero

Therefore, Vivian is correct

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The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

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What we know:

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