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
Answer:
Area of shaded region = 134.13 square feet
Step-by-step explanation:
Area of the shaded region = Area of square - Area of circle
Answer:
It is 2 hours, 22 minutes, 48 seconds.
The 2 is obviously 2 hours. For the minutes, .38 * 60 = 22.8, so the minutes is 22. 0.8 * 60 = 48. So 2 hours, 22 minutes and 48 seconds.
8 - (2/x) = y (ignore these words the answer was too short lol)
Direct variation means their ratio is a constant
x/y is 9/45=1/5
so when x=2, y=5*2=10
