Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
A is c=75 B is a=120 C is b= square root of 75 and D= square root of 245
A. so the 3 before the 3(r-5) represents the initial price, in this circumstance being 3
B. the R represents the rentals, for every R another video game has been rented
C. The 5 represents the money subtracted for every video game rented.
Answer:
see below
Step-by-step explanation:
Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.
<V+ <B = 180
74+ <B = 180
Subtract 74 from each side
74-74+ <B = 180-74
<B = 106
We now need to find arc AB
Arc AC is 2* <V = 2*74 =154
We know arc AC = arc AB + arc BC
154 = arc AB + 86
Subtract 86 from each side
154-86 = arc AB + 86 -86
68 = arc AB