3 years ago

What size square can be inscribed in a circle of radius 8 inches?

1 answer:

8 0

its diameter is 16 inches,
So, according to the Pythagorean Theorem, for some right triangle with legs of length a, b, and hypotenuse of length c,
then a² + b² = c²
c = 16 inches, and a = b.

a² + a² = 16² 
2a² = 256 
a² = 128 

√a² = √128 
a = √128 
a = √(64•2) 
a = 8√2 

So, the size is an 8√2 by 8√2 square.

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Rex paid $250 in taxes to the school district that he lives in this year. This year's taxes were a 12% increase from last year.

Verizon [17]

Answer:

$223.21

Step-by-step explanation:

Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.

112% of x = 250

1.12x = 250

x = 250/1.12

x = 223.21