Answer:
6S + 11C = $120
2S + 1 C = $24
So solve equation 2 for C
C = 24 - 2 S
Subsitute in to eq 1
6S + 11(24-2S) = 120
6S + 264 -22S = 120
264 -16S =120
264 -120 = 16S
S = (264-120)/16 = 144/16 = $9
c = 24 - 2S = 24 - 2x9 = 24-18 = $6
Senior Ticket is $9
Children Ticket is $6
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Answer:
volume of the hemisphere=2/3×22/7×39.4³
Step-by-step explanation:
=128151.01ft³
Solution:
LHS = (cosA+cosB)²+(sinA+sinB)²
= (cos²A+2cosAcosB+cos²B)+
(sin²A+2sinAsinB+sin²B)
/* By algebraic identity:
(x+y)² = x²+2xy+y² */
Rearranging the terms, we get
= (cos²A+sin²A)+(cos²B+sin²B)+2(cosAcosB+sinAsinB)
= 1+1+2cos(A-B)
________________________
we know that,
i) cos²x + sin²x = 1
ii) cosxcosy+sinxsiny = sin(x-y)
________________________
= 2+2cos(A-B)
= 2[1+cos(A-B)]
=
=
=$RHS$
Therefore,
(cosA+cosB)²+(sinA+sinB)²
=
••••
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