162 m^2
you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)
and s^2=162
The diameter is 4 inches.
Answer:
Step-by-step explanation:
2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)
2y+6x+90 =180
2y + 6x = 90
dividing each side by 2
y+3x = 45 ........1
7x+1+2y+74 =180 ( same reason)
7x + 2y =105 ............2
multiplying 1 by 2
2y +6x =90........ 3
subtracting 3 from 2
7x+2y-2y-6x = 105-90
x = 15
substituting x=15 in 1
y+45 =45
y= 0
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Answer:
4 coins
Step-by-step explanation:
First, let's find out how much she gave the teller:
2($20)=$40
Now, let's find out how much change the teller owes her:
$40.00-$39.63=$0.37 or 37 cents
The largest coin (under 37 cents), is a quarter which is worth 25 cents...
37-25=12 cents
The largest coin (under 12 cents), is a dime which is worth 10 cents...
12-10=2
The largest coin (under 2 cents), is a penny which is worth 1 cent...
2-1=1
And one more penny...
1-1=0
Therefore the fewest amount of coins she can get in change are a quarter, a dime, and two pennies, which is 4 coins.
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Answer:
A) 29/40
Step-by-step explanation:
The formula for this is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, you have ...
P(A or B) = 9/20 +1/2 - 9/40
P(A or B) = 18/40 +20/40 -9/40 = (18+20-9)/40
P(A or B) = 29/40 . . . . matches choice A
