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Solve for x to the nearest tenth

Solve for x to the nearest tenth-example-1
User Chris Kemp
by
8.7k points

2 Answers

2 votes
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Solve for x to the nearest tenth-example-1
User Tsardines
by
9.0k points
3 votes

Answer:

9.85 units

Explanation:

Rounding to the nearest hundredth means rounding or correcting to two decimal places

Form a right-angled triangle where

One leg side of the triangle = opposite side (opp) = perpendicular

= 9 units

Other leg side of the triangle = adjacent side (adj) = base

=
(14 - 10) units

= 4 units

Slanted height = Hypotenuse

=
x units

Since this is a right-angled, x can be calculated using the Pythagorean Theorem:


hyp^(2) = opp^(2) + adj^(2)


x^(2) = 9^(2) + 4^(2)


= 81 + 16

=
97

Square root has to be applied to get rid of the square:

∴ x =
√(97) units

= 9.848 units
x = 9.85 units (Rounded off to the nearest hundredth)

User Dturanski
by
8.3k points

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