No, the radius is not 3.14 . The radius is 1/2 of the diameter . . . That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .
The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.
But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.
That's called the "area" of the table, not the "square feet" of the table.
And another thing: I see you're asking for the "closest" number. Don't ask me
how I know this, but I'm pretty sure that right under this question wherever you
copied it from, there's a list of choices, and when you posted the question, for
some reason you decided not to share the list.
Answer:
A 5
Step-by-step explanation:
Parts on the left have the same ratio as parts on the right.
... x/(x+5) = (x -2)/(x +1)
Multiplying by (x+5)(x+1), we get
... x(x +1) = (x -2)(x +5)
... x² +x = x² +3x -10 . . . . eliminate parentheses
... 0 = 2x -10 . . . . . . . . . . subtract x²+x
... 0 = x -5 . . . . . . . . . . . . divide by 2
... 5 = x . . . . . . . . . . . . . . . add 5
Answer:
a = 6, b = 8, and c = 10.
Step-by-step explanation:
You can easily use the Pythagorean Theorem to solve all of these.
a = 4; b = 6; c = 8... 4^2 + 6^2 = 16 + 36 = 52. 8^2 = 64. 52 is not equal to 64, so the first choice is not a right triangle.
a = 6; b = 8; c = 10... Well this is a multiple of the 3-4-5 Pythagorean triple, so this is a right triangle.
a = 5; b = 6; c = 761... 5^2 + 6^2 = 25 + 36 = 61. 761^2 = 579121, which is not equal to 61, so the third choice is not a right triangle.
a = 6; b = 9; c = 12... 6^2 + 9^2 = 36 + 81 = 117. 12^2 = 144, which is not equal to 117, so the fourth choice is not a right triangle.
The only case where there is a right triangle is the second choice, where a = 6, b = 8, and c = 10.
Hope this helps!
