The area of a circle is π (radius²)
The area of the outer (2-ft) circle is π (2²) = 4 π square feet.
The area of the inner (1-ft) circle is π (1²) = 1 π square feet.
The inner circle covers 1/4 of the area of the outer circle.
So if the ant wanders around totally aimlessly and randomly, and there's no way to
know where he came from, where he is now, or where he's going next, and there's
an equal chance of him being <em><u>anywhere in the big circle</u></em> at any time, then there's a
<u>25% chance</u> of him being inside the small circle at any time, because 1/4 of the
total area is in there.
That's choice c).
Answer:
4,5,6,7
Step-by-step explanation:
-1 < x ≤7 , x > 3 means that 3 < x ≤ 7
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula 
which describes the number of ways we can choose 
objects given 
possible choices. So, if 
and 
, then:
Hence, the teacher can make 35 different geometry quizzes.
21/1 divided by 7/4 = 21/1 x 4/7 = 12.
Hope this helped my guy.
