Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
Answer:
a=69
b=133
c=116
d=93
e=86
Step-by-step explanation:
<u>first start by finding angle a:</u>
angles in a triangle add up to 180 so we can simply do 180 - 40 - 71 = 69
<u>to find b:</u>
b is on a straight line so we can do 180 - 133 = 47
<u>to find d:</u>
d is part of the small triangle on the right of the diagram, we do not know one of the angles but because it is on a straight line we can do 180-140 = 40. Now to find d we can do 180 - 47 - 40 = 93
<u>to find e:</u>
i'm assuming the large triangle containing e is isosceles so we can do 180 - 2x47 = 86
therefore c is 116 as its the only answer left - hope this helps
Answer:
11.5 feet
Step-by-step explanation:
To solve this question first you take the volume which is 2415 and divide it by 210 to get your answer as 11.5 feet
77 times 100 is 7,700. So your answer is 7,700
