Let the width of the frame = x
Let the cost of a linear foot of the frame = y
Let the inside dimension of the length of the frame = a
Let the inside dimension of the width of the frame = b.
The total length of the frame = 2*a + 4x
The total width of the frame = 2b
The total amount of the frame in feet is (2a + 4x + 2b)*y = Cost
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Answer:
1) 0, 180
2) 90
3) 3pi/2
4) pi/2, -3pi/2
5) 90, 270
6) 0
7) pi
8) -2pi, 0, 2pi
Step-by-step explanation:
1) sinx = 0
x = 0, 180, 360
2) sinx = 1
x = 90
3) sinx = -1
x = 270 or 3pi/2
4) sinx = 1
x = pi/2, pi/2 - 2pi = -3pi/2
5) cosx = 0
x = 90, 360
6) cosx = 1
x = 0, 360
7) cosx = -1
x = pi
8) cosx = 1
-2pi, 0 , 2pi
Answer:
(closed circle on 6)————>
<—————(open circle on -1)
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
lets create a sample space
so
the pirates can be sold for $7 $6 or $9
p
6 7 9
under the sea can be sold for $6 $7 or $9
S
6, 7, 9
driving test can be sold for $6 $7 or $9
D
6, 7, 9
here are all the combinations:
p,6
p,7
p,9
s,6
s,7
s,9
d,6
d,7
d,9
since out of 9 combinations driving test is the only one that is not water related lets look at that. There are only 2 combinations of driving test which are less than or equal to $7, (d,7 and d,6) hence the probability of selling no water games for less than $7 is 2/9
Answer:
11/18.
Dan is 8.
Step-by-step explanation:
The initial fraction is
x / 2x-4
Adding 3/3 we have
x+3 / 2x-1 = 2/3
Cross multiply:
3(x+3) = 2(2x-1)
3x + 9 = 4x - 2
9 + 2 = 4x - 3x
11 = x,
So the original fraction was 11 / 2(11) - 4
= 11/18.
If Dans age is d then Lois's age = 4d.
So 4d + d = 40
5d = 40
d = 8.
So Dan is 8 years old.