Using the pythagorean theorem, the distance would be approximately 14.46 feet
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Let's write this as a system of equations.
8a+4s=880
a= s+20
Let's plug our a value into the first equation.
8(s+20)+4s=880
8s+160+4s=880
We combine like terms.
12s+160=880
We subtract 160 from both sides.
12s=720
We divide both sides by 12
s=60
Now, we plug this value into the second equation.
a= 60+20
a= 80
Therefore, 80 adult tickets were sold.
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Answer:
D. x = 7
Step-by-step explanation:
The labeled angles are the acute angles of a right triangle, so they are complementary. Their measures add up to 90 deg.
8x + 7 + 3x + 6 = 90
11x + 13 = 90
11x = 77
x = 7
Y=√(x+6) - 7
constraint: x+6> or = 0
or x> 0r = -6
RANGE = x∈R/ x > or = 0
L=2W+2
W=(L-2)/2
A=LW, using W from above makes this
A=L(L-2)/2
2A=L^2-2L
L^2-2L-2A=0, given A=84
L^2-2L-168=0
(L-14)(L+12)=0, since L>0
L=14
The length of the rug is 14 ft
(W=(L-2)/2=6 ft)
