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Solve for the missing variable. Round to the nearest hundredth if necessary.

What is c when b=√11 and a=20

User Bunmi
by
8.0k points

1 Answer

2 votes

Answer:

The answer is 20.27

Explanation:

Assuming you are talking about the pythagorean theorem, the equation is

a^2 + b^2 = c^2

Plug the values of a and b into the problem and solve.

(20)^2+ (√11 )^2=c^2

That can be further simplified to

400+11

as 20 * 20 is 400 and √11 *√11 is 11.

Then you add those answers together which equals

411

Remember that 411 is equal to c^2.

To solve for c you have to take the square root of the equation.

√411=√(c^2)

When simplified √(c^2) is

20.27313493

Now rounding to the nearest hundredth means the second decimal place is what you round to.

The second decimal place is where the 0.07 is at. 3 is closer to .07 than to 0.08 so you round down.

The answer is thus 20.27

User Shaurya Uppal
by
8.2k points

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